惠州市2012届高三第二次调研考试数学(理科)试题

Learn General S ecretary on "two to l earn a" stre ngthening "four Con sci ousnes ses" important s pee ch caus ed a str ong rea ction in t he country. T ime, watching "red treas ure", the origin of buildi ng the party ba ck to powe r, how to stre ngthe n servi ces for t he masse s, impr ove party cohe sion, f ighting to become the gras s-r oots party members a nd mas ses hot topic. Grass -roots party organizati ons "tw o" is to stre ngthe n the s ervice of party members and cadre s, the pi oneer spirit. Distribution of grass -roots party organizati ons in all wa lks of people, cl othi ng, s helter, whi ch belongs t o the nerve ending s of the party organization and comments re putation ha s a dire ct per cepti on of the mass es. Strengthen the party a head of the "pe dal" spirit ; strengthen t he party members and ca dres "s uccess doe s not have to be me" an d "the first to bear har dshi ps, t he last t o" service spirit to set the party's positive image am ong the pe opl e is important. Gra ss -roots party orga nizations "two" is t o clea nse all pe opl e not happy not to se e "stereotype s", establi sh t he hone st faithful, di ligent faith for the pe ople . No nee d to av oid mentioni ng that, s ome members of our party ca n not stand the "money," corrosi on of temptation, t hin, Xu Z hou, s uch abuse a nd corrupt bri ber y, malfeasance borers, a nd rats. Tw o, is to clea n up, thi n, Xu, Zhou's sol ution to restore t he party' s fresh and nat ural, s olid a nd honest work style. Cleansing "take, eat, card," unde sirable a nd behavi our, "cross, hard a nd col d, push" attitude. Gras s-r oots party organi zations "two" is to stre ngthe n the sense of or dinary party members, participati ng in cons ciousne ss, unity consci ousnes s. For reas ons known, mem bers of gras s-roots party branches le ss mobile, l ess res our ces, a nd t he constructi on of party organiz ations have some lag. Tw o studies, i s to focus on t he grass -root s party bra nches "loose, soft, loose" pr oblem, a dvance the party members a nd cadre s, "a gang worki ng", "Hong Kong report." Strong cleanup acti ons, style and rambli ng, pre sumpt uous "unqualified" party member s, pays spe cial attenti on to party members a nd cadres "j oini ng party of thoug ht" probl em. "Party buildi ng" is obtai ned i n the long -term devel opme nt of our party's histori cal experie nce accumulated. Tw o is our party under the new hist orical conditions, strengthe n the party's constr ucti on of a ne w "rectificatio n movement." Gras s-r oots party organizati ons shoul d always cat ch the hard w ork, res ults-oriente d. Two educational outcome s are long-term orie nted a nd become an important impetus for the work . "Two" should have three ki nds of cons ciousness "two" study and ed ucati on, basic le arni ng lies in t he doing. Only the Constituti on a ddres s the s eries of party rul es, a nd do solid w ork, be qualifie d party members had a s olid i deol ogical basi s. Only the "learni ng" and "do" real unity, to form a "learn -learn-do-do" the virt uous cy cle, a nd ultimately a chieve t he fundamental obje ctive of educati on. T his re quires t hat the Orga nization

惠州市 2012 届高三第二次调研考试
数学试题(理科)
(本试卷共 4 页,21 小题,满分 150 分。考试用时 120 分钟) 注意事项: 1.答卷前,考生务必用黑色字迹的钢笔或签字笔将自己的姓名和考生号、试室号、座位号填写在答题 卡上。 2.选择题每小题选出答案后,用 2B 铅笔把答题卡上对应题目选项的答案信息点涂黑,如需改动,用橡 皮擦干净后,再选涂其他答案,答案不能答在试卷上。 3.非选择题必须用黑色字迹钢笔或签字笔作答,答案必须写在答题卡各题目指定区域内相应位置上; 如需改动,先划掉原来的答案,然后再写上新的答案;不准使用铅笔和涂改液。不按以上要求作答 的答案无效。 一、选择题:本大题共 8 小题,每小题 5 分,共 40 分. 在每小题给出的四个选项中,只有一项符合题 目要求. 1.设集合 P ? ?3,log2 a? , Q ? ?a, b? ,若 P A. ?3, 0? B. ?3,0,2?

Q ? ?0? ,则 P Q ? (



C. ?3,0,1?

D. ?3,0,1,2? ) D.-5 D.既不充分也不必要 ) D.

2.若 (a ? 4i)i ? b ? i 其中 a, b ? R , i 是虚数单位,则 a ? b ( A.3
2

B.5

C.-3 )条件。 C.充要

3.“ | x |? 2 ”是“ x ? x ? 6 ? 0 ”成立( A.充分而不必要 B.必要而不充分

4.已知等比数列 ?an ? 中, a1 ? 2 ,且有 a4 a6 ? 4a7 2 ,则 a3 ? ( A. 1 B. 2 C.

1 4

1 2
)

5.已知回归直线的斜率的估计值是 1.23,样本点的中心为(4,5),则回归直线的方程是(

? ? 1.23x ? 4 A. y

? ? 1.23x ? 0.08 B. y

? ? 1.23x ? 0.8 C. y


? ? 1.23x ? 0.08 D. y

6.若 (ax ? 1)5 的展开式中 x3 的系数是 80,则实数 a 的值为( A.-2 B. 2 2 C. 3 4 D.2

7.如图,正方体 AC1 的棱长为 1 ,过点 A 作平面 A 1BD 的垂线, 垂足为点 H ,则以下命题中,错误 的命题是( .. A.点 H 是 △A1BD 的垂心 B. AH 的延长线经过点 C1 C. AH 垂直平面 CB1D1 D.直线 AH 和 BB1 所成角为 45 )

learning e ducation, ne ed thre e kinds of consci ousne ss: one i s to esta blis h an i ntegrated aware ness . "Lear ning" and "do" w hat car i sTwo -wheel, bir d wi ngs, need t o go ha nd in hand, one e nd can be negl ected. Communist t heoreti cian and man. Only by cl osely combi ning t heory a nd practi ce together in or der to truly rea lize th eir value. " Learni ng" is the F oundation, t he Foundati on i s not strong , shaking; " "Is t he key to net to net t housa nds of accounts. 。 泄 宣 值 价 感 情 华 升 结 总 验 经 识 知 活 实 炼 提 头 口 言 语 用 运 句 词 字 对 于 在 现 表 更 性 要 重 它 , 忆 记 和 考 思 象 想 联 、 力 察 观 的 生 学 养 培 能 但 不 作 写

"Two" educati on, "" lay the basis , going t o "do" the key grip, s o that t he "learni ng" and " doi ng" back t o standard, so that the maj ori ty of party members "learn" lear ning t heory of nutrie nts, i n the "doing" pra ctice party's purpose s. Second, to e stablis h a s ens e of de pth. " Learni ng" and "do" not Chu draw n, e ntirely different, but the organi c unity of the whole. "Two" lear ning e ducation, we need t o explore integrating "learning " in "do", exhi bit "do" in "S cience". To avoi d the "lear ning" into simple r oom i nstruction, "do" int o a monotone for doing .

Should ex ploration "learn" in t he ha s "do", "do" in the ha s "learn" of educati on a nd practice of carrie r, makes

general grass -root s members can i n "learn" in t he has "do" of achi evements s ens e, in " do" in t he ha s "learn" of get se nse, re al makes party of t heory brain i nto he art, put for pe ople service concept outsi de of Yu sha ped. Thir d, to a dhere t o long-term the awareness. Style construction on the r oad forever, "two" had t o cat ch the long -term. "Two" st udy a nd e ducation, by no mea ns, as sault -style wi nd-s port, but the r ecurr ent educati on wit hin t he part y. I n recent years, t he party's ma ss li ne educati on practice and "three -three" s peci al educati on i n grass -root s borne ri ch fruits , vast numbers of party members a nd cadres withst ood the baptism of the s pirit. "Two" greater nee d to focus on longer hold l ong -term, to esta blish and perfect t he effective mechani sm of the e ducation, focusi ng on the creation of long-term educati on, strive to make the va st num ber of party mem bers to mai ntain their vang uard Col or, mai ntain the party's a dvanced nature a nd purit y. Aware ness -raisi ng, ante nna s an d atmos pher e – a di scussi on on how leadi ng ca dres of party members "two" current, "two" a ctivity is in f ull swi ng up and down t he country, party cadre s as a "key minority" is bot h a bar ometer and im petus . The "two" meani ng enoug h de ep, is t o determine the party ca dres can res olve to st udy har d first. In the "two" in the pr oce ss, s ome ca dres of hims elf, standi ng long , high aw arene ss, that Constitution Party rule s is simple, it s not wort h botheri ng some party cadre s think speak s eries has nothi ng to do with the gras s-r oots w ork, water business lear ning series of s pee che s see n as wi ndow dres sing. These "laz y, ca sual, a nd deca dent" ideas learning la cks motivation, a seri ous im pedime nt to "two" effect. John Stuart Mil l once said, only a basi c element of human t hought patterns change dramati cally, huma n desti ny can make great improveme nt. The same, only party member s and

Learn General S ecretary on "two to l earn a" stre ngthening "four Consci ousnes ses" important s pee ch caus ed a str ong rea ction in t he country. T ime, watching "red treas ure", the origin of buildi ng the party ba ck to powe r, how to stre ngthe n servi ces for t he masse s, impr ove party cohe sion, f ighting to become the gras s-r oots party members a nd mas ses hot topic. Grass -roots party organizati ons "tw o" is to stre ngthe n the s ervice of party members and cadre s, the pi oneer spirit. Distribution of grass -roots party organizati ons in all wa lks of people, cl othi ng, s helter, whi ch belongs t o the nerve ending s of the party organiza tion and comments re putation ha s a dire ct per cepti on of the mass es. Strengthen the party a head of the "pe dal" spirit ; strengthen t he party members and ca dres "s uccess doe s not have to be me" an d "the first to bear har dshi ps, t he last t o" service spirit to set the party's positive image am ong the pe opl e is important. Gra ss -roots party orga nizations "two" is t o clea nse all pe opl e not happy not to se e "stereotype s", establi sh t he hone st faithful, di ligent faith for the pe ople . No nee d to av oid mentioni ng that, s ome members of our party ca n not stand the "money," corrosi on of temptation, t hin, Xu Z hou, s uch abuse a nd corrupt bri ber y, malfeasance borers, a nd rats. Tw o, is to clea n up, thi n, Xu, Zhou's sol ution to restore t he party' s fresh and nat ural, s olid a nd honest work style. Cleansing "take, eat, card," unde sirable a nd behavi our, "cross, hard a nd col d, push" attitude. Gras s-r oots party organi zations "two" is to stre ngthe n the sense of or dinary party members, participati ng in cons ciousne ss, unity c onsci ousnes s. For reas ons known, mem bers of gras s-roots party branches le ss mobile, l ess res our ces, a nd t he constructi on of party organiz ations have some lag. Tw o studies, i s to focus on t he grass -root s party bra nches "loose, soft, loose" pr oblem, a dvance the party members a nd cadre s, "a gang worki ng", "Hong Kong report." Strong cleanup acti ons, style and rambli ng, pre sumpt uous "unqualified" party member s, pays spe cial attenti on to party members a nd cadres "j oini ng party of thoug ht" probl em. "Party buildi ng" is obtai ned i n the long -term devel opme nt of our party's histori cal experie nce accumulated. Tw o is our party under the new hist orical conditions, strengthe n the party's constr ucti on of a ne w "rectificatio n movement." Gras s-r oots party organizati ons shoul d always cat ch the hard w ork, res ults-oriente d. Two educational outcome s are long-term orie nted a nd become an important impetus for the work . "Two" should have three ki nds of cons ciousness "two" study and ed ucati on, basic le arni ng lies in t he doing. Only the Constituti on a ddres s the s eries of party rul es, a nd do solid w ork, be qualifie d party members had a s olid i deol ogical basi s. Only the "learni ng" and "do" real unity, to form a "learn -learn-do-do" the virt uous cy cle, a nd ultimately a chieve t he fundamental obje ctive of educati on. T his re quires t hat the Orga nization

8.已知函数 f ( x) ? ax2 ? 2ax ? 4(0 ? a ? 3), 若 x1 ? x2 , x1 ? x2 ? 1 ? a, 则( A. f ( x1 ) ? f ( x2 ) C. f ( x1 ) ? f ( x2 ) B. f ( x1 ) ? f ( x2 ) D. f ( x1 ) 与 f ( x2 ) 的大小不能确定



二、填空题(本大题共 7 小题,分为必做题和选做题两部分.每小题 5 分,满分 30 分) (一)必做题:第 9 至 13 题为必做题,每道试题考生都必须作答. 9.已知 ?ABC 中, a ? 1, b ? 2 , B ? 45 ,则角 A 等于_______ 10.如图,三个几何体,一个是长方体、一个是直 三棱柱,一个是过圆柱上下底面圆心切下圆柱的四分 之一部分,这三个几何体的主视图和俯视图是相同的 正方形,则它们的体积之比为 11. 右面框图表示的程序 所输出的结果是_______ . 开始

i ? 12, s ? 1
i ? 10 ?
是 否

s ? s?i

输出 s 结束 .

i ? i ?1

12.若直线 y ? x ? m 与圆 ( x ? 2)2 ? y2 ? 1 有两个不同的公共点,则实数 m 的取值范围为 13.已知双曲线

x2 y 2 ? ? 1 ( a ? 0) 中心在原点,右焦点与抛物线 y 2 ? 16 x 的焦点重合,则该双曲线的 2 a 9 离心率为___________

(二)选做题:第 14、15 题为选做题,考生只能选做其中一题,两题全答的,只计前一题的得分。 14. (坐标系与参数方程选做题)曲线 ?

? x ? sin ? (? 为参数)与直线 2 ? y ? sin ?

y ? a 有两个公共点,则实数 a 的取值范围是_______.
15. (几何证明选讲选做题)如图,在⊙ O 中, AB 为直径,

AD 为 弦,过 B 点的切线与 AD 的延长线交于点 C ,
且 AD ? DC ,则 sin ?BCO =_________

三、解答题:本大题共6小题,满分80分.解答须写出文字说明、证明过程和演算步骤.

learning e ducation, nee d three ki nds of consciousne ss: one i s to establi sh a n integrated aware nes s. "Lear ning" and "do" what car isTwo-w heel, bird wi ngs, need to g o ha nd in hand, one e nd ca n be negle cted. Communist the oreticia n and man. Only by clos ely com bini ng the ory and practi ce togethe r in order to tr uly realize the ir value. "Le arni ng" is the Foundati on, t he Foundati on i s not str ong, s haki ng; " "Is the key to net to net thousa nds of accounts. 。 泄 宣 值 价 感 情 华 升 结 总 验 经 识 知 活 实 炼 提 头 口 言 语 用 运 句 词 字 对 于 在 现 表 更 性 要 重 它 , 忆 记 和 考 思 象 想 联 、 力 察 观 的 生 学 养 培 能 但 不 作 写

"Two" education, "" lay the basi s, goi ng to "do" the key grip, so that t he "learni ng" and "doing" ba ck to standard, so that t he majority of party members "learn" learni ng the ory of nutrie nt s, i n the "doing" practi ce party's pur poses. Se cond, to e stablis h a se nse of dept h. "Lear ning" and "do" not Chu drawn, entirely different, but the organi c unity of the whole. "Two" lear ning educati on, we nee d to expl ore integrating "lear ning" in "do", exhibit "do" in "Scie nce". To avoi d the "learni ng" into sim ple room i nstruction, "do" int o a monotone for doi ng.

Should ex ploration "learn" in the has "do", "do" in the has "lear n" of education and practi ce of carrie r, makes

general grass -roots mem bers ca n in "lear n" in the ha s "do" of achievement s sense, i n "do" in the has "lear n" of get sense, real makes party of theory brain i nto heart, put for people servi ce concept outsi de of Yu s hape d. T hird, to a dhere to long-term the awar enes s. Style constr ucti on on the r oad forever, "two" ha d to catch the l ong -term. "Two" study a nd e ducation, by no means , assa ult-style wi nd-s port, but the re curre nt education within the party. I n recent years, the party's mass li ne e ducati on practi ce and "three-t hree" special e ducation in grass -roots borne ri ch fruits, vast number s of party members and cadres withstood t he ba ptism of the s pirit. "Two" greater nee d to focus on longer hold l ong -term, to establi sh a nd perfect the effective mechani sm of the educati on, focusi ng on the creation of long -term education, strive to make the vast number of party members to maintai n t heir vanguard Color, maintain t he party's a dvanced nat ure and purity. Aware ness -raisi ng, ante nna s and atmos phere – a dis cus sion on how leadi ng cadre s of party members "two" current, "two" activity i s in full swi ng up and down the

country, party cadre s as a "key minority" is bot h a bar ometer and im petus . The "two" meani ng enoug h de ep, is t o determine the party ca dres can res olve to st udy har d first. In the "two" in the pr oce ss, s ome ca dres of hims elf, standi ng long , high aw arene ss, that Constitution Party rule s is simple, it s not wort h botheri ng some party cadre s think speak s eries has nothi ng to do with the gras s-r oots w ork, water business lear ning series of s pee che s see n as wi ndow dres sing.

These "laz y, ca sual, a nd deca dent" ideas learning la cks motivation, a seri ous im pedime nt to "two" effect. John Stuart Mil l once said, only a basi c element of human t hought patterns change dramati cally, huma n desti ny can make great im proveme nt. The same, only party member s and

2

Learn G eneral Se cretary on "two t o learn a" strengt heni ng "four Cons cious nesse s" important spee ch caused a str ong reacti on i n the country. T ime, watching "red treasure", the origi n of buildi ng the party back t o power, how to strengthe n servi ces for the masses, im prove party cohesion, fig hting to be come t he grass -root s party members a nd mas ses hot topi c. Gras s-r oots party organizati ons "two" is to strengthen the service of party members a nd cadres, t he pi one er spirit . Distribution of grass -root s party organi zations in all wa lks of pe ople , clot hing , she lter, w hich bel ongs t o the ner ve endi ngs of the party organizati on a nd comments re putation ha s a dire ct perception of the mas ses. Strengthen the party ahe ad of the "pe dal" spirit; strengt hen the party members a nd cadres "s uccess doe s not have to be me" and "the first to bear hards hips, the la st to" service spirit to s e t the party's posit ive image among the people is important. Gras s-r oots party organizati ons "two" is to clea nse all people not ha ppy not to se e "stereotype s", establis h the honest faithful, diligent faith for the people. No need to avoid mentioni ng that, s ome members of our party can not stand the "money," corrosi on of temptation, thi n, Xu Zhou, s uch abuse a nd corr upt bri bery, malfeasance borers, and rats. Two, i s to clea n up, thi n, Xu, Zhou's sol ution t o restore the party's fresh a nd natural, s olid a nd honest work style . Cleansing "take, eat, card," undesirabl e and be haviour, "cross, hard and cold, push" attitude . Grass -roots party orga nizations "two" is to stre ngthe n the se nse of ordi nary party members, partici pating i n cons ciousne ss, unity consci ous nes s. For reas ons k now n, member s of grass-r oots party branche s less mobile, le ss res ource s, and the construction of party organi zations have s ome lag. Two studi es, is to focus on t he grass -roots party bra nches "loose, s oft, loose" problem, adva nce t he party members a nd cadre s, "a gang worki ng", "Hong Kong re port." Strong cleanup a ctions, style a nd r ambling, presumpt uous "unqualified" party members, pays s peci al attention to party members a nd cadres "j oini ng party of thought" problem. "Party building" is obtaine d in the long -term devel opme nt of our party's hist orical experience accumulated. Tw o is our party under the new hist orical conditions, strengthe n the party's constr ucti on of a ne w "rectification movement." Gras s-r oots party organizati ons shoul d always cat ch the hard w ork, res ults-oriente d. Two educational outcome s are long-term orie nted a nd become an important impetus for the work . "Two" should have three ki nds of cons ciousness "two" study and educati on, basic le arni ng lies in t he doing. Only the Constituti on a ddres s the s eries of party rul es, a nd do solid w ork, be qualifie d party members had a s olid i deol ogical basi s. Only the "learni ng" and " do" real unity, to form a "learn -learn-do-do" the virt uous cy cle, a nd ultimately a chieve t he fundamental obje ctive of educati on. T his re quires t hat the Orga nization

16. (本小题满分 12 分) 已知函数 y ? sin 4 x ? 2 3sin x cos x ? cos4 x , (1)求该函数的最小正周期和最小值; (2)若 x ??0, ? ? , 求该函数的单调递增区间。

17. (本小题满分 12 分) 某工厂 2011 年第一季度生产的 A、B、C、D 四种型号的产品产量用条形图表示如图,现用分层抽 样的方法从中选取 50 件样品参加四月份的一个展销会: (1)问 A、B、C、D 型号的产品各抽取多少件? (2)从 A、C 型号的产品中随机的抽取 3 件,用 ? 表示抽取 A 种型号的产品件数,求 ? 的分布列 和数学期望。 产量(单位件) 200 150 100 50

O
18. (本小题满分 14 分)

A

B

C

D

产品型号

在如图所示的多面体中, EF ⊥平面 AEB , AE ? EB , AD // EF , EF // BC ,
BC ? 2 AD ? 4 , EF ? 3 , AE ? BE ? 2 , G 是 BC 的中点.

A

D

(1)求证: BD ? EG ; (2)求平面 DEG 与平面 DEF 所成锐二面角的余弦值.

E

F

B
19. (本小题满分 14 分) 已知数列 {bn } 满足 bn?1 ? bn ?

G

C

1 2

1 7 ,且 b1 ? , Tn 为 {bn } 的前 n 项和. 4 2

(1)求证:数列 {bn ? }是等比数列,并求 {bn } 的通项公式; (2)如果对于任意 n ? N * ,不等式

1 2

12k ? 2n ? 7 恒成立,求实数 k 的取值范围. 12 ? n ? 2Tn

learning e ducation, nee d three k inds of cons ci ous nes s: one is t o establi sh a n integrated aware nes s. "Lear ning" and "do" w hat car isT wo-whe el, bir d wing s, nee d to g o ha nd i n ha nd, one e nd can be neglecte d. Communi st theoreti cian and ma n. Only by closely combining the ory and pra ctice t ogether in order to truly realiz e their val ue. "Lear ning" is t he Foundati on, the Foundation is not strong, s haking; " "Is t he key to net t o net thousands of a ccounts . 。 泄 宣 值 价 感 情 华 升 结 总 验 经 识 知 活 实 炼 提 头 口 言 语 用 运 句 词 字 对 于 在 现 表 更 性 要 重 它 , 忆 记 和 考 思 象 想 联 、 力 察 观 的 生 学 养 培 能 但 不 作 写

"Two" education, "" lay the basi s, goi ng to "do" the key grip, s o that the "lear ning" a nd "doing" ba ck to sta ndard, so t hat the maj orit y of party members "learn" lear ning theory of nutrient s, in the "doi ng" practi ce party's pur poses. Se cond, t o establi sh a s ens e of de pth. "Learni ng" and "do" not Chu draw n, entirely different, but the orga nic unity of the whole. "Two" lear ning e ducation, we need to ex plore i ntegrating "learni ng" in "do", exhi bit "do" i n "Science". To avoi d the "learni ng" into simple room instr ucti on, "do" into a monot one for doi ng.

Should ex ploration "learn" in t he ha s "do", "do" in the has "lear n" of

education a nd practi ce of carrie r, makes general gras s-r oots members ca n in "learn" in t he ha s "do" of achievement s sense, i n "do" in the has "lear n" of get sense , real makes party of the ory brai n into heart, put for people s ervice conce pt out side of Yu sha ped. Thir d, to adhere to l ong -term the aw areness . Style construction on the roa d forever, "two" ha d to cat ch t he long -term. "Two" study and education, by no mea ns, as sault -style wi nd-sport, but the re current e ducation withi n the party. I n rece nt years, the party's mass li ne educati on practice and "three-t hree" special e ducation in grass -roots borne ri ch fruits , vast num bers of party member s and cadre s withstood the baptism of the spirit . "Two" greater need to focus on l onger hol d long-term, to esta blis h and perfect t he effective mechanism of the education, focusi ng on the cre ation of long -term education, strive to make the vast number of party members to maintai n their va nguard Col or, ma i ntain the party's adva nce d nat ure and purit y. Aware ness -raisi ng, ante nna s and atmosphere – a dis cus sion on how leadi ng cadre s of party members "two" curre nt, "two" activity is in full swing up a nd dow n the country, party cadre s as a "key minority" is bot h a bar ometer and im petus . The "two" meani ng enoug h dee p, is t o determine t he party ca dres can res olve to study har d first. In the "two" in the pr oce ss, s ome ca dres of hi mself, standing l ong, high aware nes s, that Constit ution Party rules i s simple , its not w orth botheri ng s ome party ca dres thi nk spe ak series has nothi ng to do with t he grass -roots work, water busi nes s learni ng series of spee ches see n as wi ndow dre ssing . These "lazy, casual, and de cade nt" ideas le arning la cks motivation, a seri ous im pedime nt to "two" effect. John St uart Mill once said, only a basi c element of human t houg ht patterns change dramati cally, human destiny can make great improveme nt. The same, only party members a nd

Learn General S ecretary on "two to l earn a" stre ngthening "four Consci ousnes ses" important s pee ch caus ed a str ong rea ction in t he country. T ime, watching "red treas ure", the origin of buildi ng the party ba ck to powe r, how to stre ngthe n servi ces for t he masse s, impr ove party cohe sion, f ighting to become the gras s-r oots party members a nd mas ses hot topic. Grass -roots party organizati ons "tw o" is to stre ngthe n the s ervice of party members and cadre s, the pi oneer spirit. Distribution of grass -roots party organizati ons in all wa lks of people, cl othi ng, s helter, whi ch belongs t o the nerve ending s of the party organiza tion and comments re putation ha s a dire ct per cepti on of the mass es. Strengthen the party a head of the "pe dal" spirit ; strengthen t he party members and ca dres "s uccess doe s not have to be me" an d "the first to bear har dshi ps, t he last t o" service spirit to set the party's positive image am ong the pe opl e is important. Gra ss -roots party orga nizations "two" is t o clea nse all pe opl e not happy not to se e "stereotype s", establi sh t he hone st faithful, di ligent faith for the pe ople . No nee d to av oid mentioni ng that, s ome members of our party ca n not stand the "money," corrosi on of temptation, t hin, Xu Z hou, s uch abuse a nd corrupt bri ber y, malfeasance borers, a nd rats. Tw o, is to clea n up, thi n, Xu, Zhou's sol ution to restore t he party' s fresh and nat ural, s olid a nd honest work style. Cleansing "take, eat, card," unde sirable a nd behavi our, "cross, hard a nd col d, push" attitude. Gras s-r oots party organi zations "two" is to stre ngthe n the sense of or dinary party members, participati ng in cons ciousne ss, unity c onsci ousnes s. For reas ons known, mem bers of gras s-roots party branches le ss mobile, l ess res our ces, a nd t he constructi on of party organiz ations have some lag. Tw o studies, i s to focus on t he grass -root s party bra nches "loose, soft, loose" pr oblem, a dvance the party members a nd cadre s, "a gang worki ng", "Hong Kong report." Strong cleanup acti ons, style and rambli ng, pre sumpt uous "unqualified" party member s, pays spe cial attenti on to party members a nd cadres "j oini ng party of thoug ht" probl em. "Party buildi ng" is obtai ned i n the long -term devel opme nt of our party's histori cal experie nce accumulated. Tw o is our party under the new hist orical conditions, strengthe n the party's constr ucti on of a ne w "rectificatio n movement." Gras s-r oots party organizati ons shoul d always cat ch the hard w ork, res ults-oriente d. Two educational outcome s are long-term orie nted a nd become an important impetus for the work . "Two" should have three ki nds of cons ciousness "two" study and ed ucati on, basic le arni ng lies in t he doing. Only the Constituti on a ddres s the s eries of party rul es, a nd do solid w ork, be qualifie d party members had a s olid i deol ogical basi s. Only the "learni ng" and "do" real unity, to form a "learn -learn-do-do" the virt uous cy cle, a nd ultimately a chieve t he fundamental obje ctive of educati on. T his re quires t hat the Orga nization

20. (本小题满分 14 分) 已知点 P 是圆 F1 : ( x ? 1)2 ? y 2 ? 8 上任意一点, 点 F2 与点 F1 关于原点对称。线段 PF2 的中垂线 m 分别与 PF1、PF2 交于 M 、N 两点. (1)求点 M 的轨迹 C 的方程; (2)斜率为 k 的直线 l 与曲线 C 交于 P, Q 两点,若 OP ? OQ ? 0 ( O 为坐标原点) ,试求直线 l 在 y 轴 上截距的取值范围.

21. (本小题满分 14 分) 已知二次函数 y ? g ( x) 的图象经过点 O (0, 0) 、 A(m , 0) 与点 P( m ? 1, m ? 1) ,设函数

f ( x) ? ( x ? n) g ( x) 在 x ? a 和 x ? b 处取到极值,其中 m ? n ? 0 , b ? a 。
(1)求 g ( x) 的二次项系数 k 的值; (2)比较 a , b , m , n 的大小(要求按从小到大排列) ; (3)若 m ? n ? 2 2 ,且过原点存在两条互相垂直的直线与曲线 y ? f ( x) 均相切,求 y ? f ( x) 。

learning e ducation, nee d three ki nds of consciousne ss: one i s to establi sh a n integrated aware nes s. "Lear ning" and "do" what car isTwo-w heel, bird wi ngs, need to g o ha nd in hand, one e nd ca n be negle cted. Communist the oreticia n and man. Only by clos ely com bini ng the ory and practi ce togethe r in order to tr uly realize the ir value. "Le arni ng" is the Foundati on, t he Foundati on i s not str ong, s haki ng; " "Is the key to net to net thousa nds of accounts. 。 泄 宣 值 价 感 情 华 升 结 总 验 经 识 知 活 实 炼 提 头 口 言 语 用 运 句 词 字 对 于 在 现 表 更 性 要 重 它 , 忆 记 和 考 思 象 想 联 、 力 察 观 的 生 学 养 培 能 但 不 作 写

"Two" education, "" lay the basi s, goi ng to "do" the key grip, so that t he "learni ng" and "doing" ba ck to standard, so that t he majority of party members "learn" learni ng the ory of nutrie nt s, i n the "doing" practi ce party's pur poses. Se cond, to e stablis h a se nse of dept h. "Lear ning" and "do" not Chu drawn, entirely different, but the organi c unity of the whole. "Two" lear ning educati on, we nee d to expl ore integrating "lear ning" in "do", exhibit "do" in "Scie nce". To avoi d the "learni ng" into sim ple room i nstruction, "do" int o a monotone for doi ng.

Should ex ploration "learn" in the has "do", "do" in the has "lear n" of education and practi ce of carrie r, makes

general grass -roots mem bers ca n in "lear n" in the ha s "do" of achievement s sense, i n "do" in the has "lear n" of get sense, real makes party of theory brain i nto heart, put for people servi ce concept outsi de of Yu s hape d. T hird, to a dhere to long-term the awar enes s. Style constr ucti on on the r oad forever, "two" ha d to catch the l ong -term. "Two" study a nd e ducation, by no means , assa ult-style wi nd-s port, but the re curre nt education within the party. I n recent years, the party's mass li ne e ducati on practi ce and "three-t hree" special e ducation in grass -roots borne ri ch fruits, vast number s of party members and cadres withstood t he ba ptism of the s pirit. "Two" greater nee d to focus on longer hold l ong -term, to establi sh a nd perfect the effective mechani sm of the educati on, focusi ng on the creation of long -term education, strive to make the vast number of party members to maintai n t heir vanguard Color, maintain t he party's a dvanced nat ure and purity. Aware ness -raisi ng, ante nna s and atmos phere – a dis cus sion on how leadi ng cadre s of party members "two" current, "two" activity i s in full swi ng up and down the

country, party cadre s as a "key minority" is bot h a bar ometer and im petus . The "two" meani ng enoug h de ep, is t o determine the party ca dres can res olve to st udy har d first. In the "two" in the pr oce ss, s ome ca dres of hims elf, standi ng long , high aw arene ss, that Constitution Party rule s is simple, it s not wort h botheri ng some party cadre s think speak s eries has nothi ng to do with the gras s-r oots w ork, water business lear ning series of s pee che s see n as wi ndow dres sing.

These "laz y, ca sual, a nd deca dent" ideas learning la cks motivation, a seri ous im pedime nt to "two" effect. John Stuart Mil l once said, only a basi c element of human t hought patterns change dramati cally, huma n desti ny can make great im proveme nt. The same, only party member s and

4

Learn G eneral Se cretary on "two t o learn a" strengt heni ng "four Cons cious nesse s" important spee ch caused a str ong reacti on i n the country. T ime, watching "red treasure", the origi n of buildi ng the party back t o power, how to strengthe n servi ces for the masses, im prove party cohesion, fig hting to be come t he grass -root s party members a nd mas ses hot topi c. Gras s-r oots party organizati ons "two" is to strengthen the service of party members a nd cadres, t he pi one er spirit . Distribution of grass -root s party organi zations in all wa lks of pe ople , clot hing , she lter, w hich bel ongs t o the ner ve endi ngs of the party organizati on a nd comments re putation ha s a dire ct perception of the mas ses. Strengthen the party ahe ad of the "pe dal" spirit; strengt hen the party members a nd cadres "s uccess doe s not have to be me" and "the first to bear hards hips, the la st to" service spirit to s e t the party's posit ive image among the people is important. Gras s-r oots party organizati ons "two" is to clea nse all people not ha ppy not to se e "stereotype s", establis h the honest faithful, diligent faith for the people. No need to avoid mentioni ng that, s ome members of our party can not stand the "money," corrosi on of temptation, thi n, Xu Zhou, s uch abuse a nd corr upt bri bery, malfeasance borers, and rats. Two, i s to clea n up, thi n, Xu, Zhou's sol ution t o restore the party's fresh a nd natural, s olid a nd honest work style . Cleansing "take, eat, card," undesirabl e and be haviour, "cross, hard and cold, push" attitude . Grass -roots party orga nizations "two" is to stre ngthe n the se nse of ordi nary party members, partici pating i n cons ciousne ss, unity consci ous nes s. For reas ons k now n, member s of grass-r oots party branche s less mobile, le ss res ource s, and the construction of party organi zations have s ome lag. Two studi es, is to focus on t he grass -roots party bra nches "loose, s oft, loose" problem, adva nce t he party members a nd cadre s, "a gang worki ng", "Hong Kong re port." Strong cleanup a ctions, style a nd r ambling, presumpt uous "unqualified" party members, pays s peci al attention to party members a nd cadres "j oini ng party of thought" problem. "Party building" is obtaine d in the long -term devel opme nt of our party's hist orical experience accumulated. Tw o is our party under the new hist orical conditions, strengthe n the party's constr ucti on of a ne w "rectification movement." Gras s-r oots party organizati ons shoul d always cat ch the hard w ork, res ults-oriente d. Two educational outcome s are long-term orie nted a nd become an important impetus for the work . "Two" should have three ki nds of cons ciousness "two" study and educati on, basic le arni ng lies in t he doing. Only the Constituti on a ddres s the s eries of party rul es, a nd do solid w ork, be qualifie d party members had a s olid i deol ogical basi s. Only the "learni ng" and " do" real unity, to form a "learn -learn-do-do" the virt uous cy cle, a nd ultimately a chieve t he fundamental obje ctive of educati on. T his re quires t hat the Orga nization

惠州市 2012 届高三第二次调研考试
理科数学参考答案与评分标准
一.选择题:共 8 小题,每小题 5 分,满分 40 分

题号 答案 1. 【解析】由 P

1 C

2 B

3 A

4 A

5 D

6 D

7 D

8 B

Q ? ?0? ,得 log2 a ? 0 ,∴ a ? 1 ,从而 b=0 , P Q ? ?3,0,1? .选 C.

?a ? 1 2. 【解析】由 (a ? 4i)i ? ?4 ? ai ? b ? i ? ? ? a ? b ? 5 ,选 B. ?b ? ?4
3. 【解析】由 | x |? 2 得到 ?2 ? x ? 2 ,由 x 2 ? x ? 6 ? 0 得到 ?2 ? x<3 ,选 A.
2 2 4. 【解析】 a4 a6 ? 4a7 2 , a5 , a5 ? 2a7 ,所以 q ? ? 4a7

2

1 , a3 ? a1q 2 ? 1. 选 A. 2

? ? 1.23x ? a ,则 a ? y ? 1.23x ? 0.08 .选 D. 5. 【解析】由条件知, x ? 4 , y ? 5 ,设回归直线方程为 y
2 6. 【解析】 (ax ? 1)5 的展开式中含 x 的项为 C5 (ax)3 (?1)2 ? 10a3 x3 ,由题意得10a ? 80 ,
3
3

所以 a ? 2 .选 D. 7.【解析】因为三棱锥 A— A A 正确;平面 A 1BD 是正三棱锥,故顶点 A 在底面的射影是底面中心, 1BD ∥平面 CB1D1 ,而 AH 垂直平面 A 1D 1 ,C 正确;根据对称性知 B 1BD ,所以 AH 垂直平面 CB 正确.选 D. 8. 【解析】函数的对称轴为 x ? ?1 ,设 x0 ?

x1 ? x2 1? a 1 ,由 0 ? a ? 3 得到 ?1 ? ? ,又 x1 ? x2 ,用单调 2 2 2

性和离对称轴的远近作判断,故选 B. 二.填空题:共 7 小题,每小题 5 分,满分 30 分.其中 14~15 题是选做题,考生只能选做一题. 9. 30? 14. 0 ? a ? 1 9.【解析】根据正弦定理, 10. 4 : 2 : ? 11.1320 12. (2 ? 2, 2 ? 2) 13.

4 7 7

15.

5 5

a b ? , sin A sin B
1? 2 2 ? 1. 2 2
a ? b,? A ? 30?.

a sin B ?sin A ? ? b

10.【解析】因为三个几何体的主视图和俯视图为相同的正方形,所 以原长方体棱长相等为正方体, 原直三棱柱是底面为等腰直角三角形的直三棱柱,设正方形的边长为 a 则,长方体体积为

learning e ducation, nee d three k inds of cons ci ous nes s: one is t o establi sh a n integrated aware nes s. "Lear ning" and "do" w hat car isT wo-whe el, bir d wing s, nee d to g o ha nd i n ha nd, one e nd can be neglecte d. Communi st theoreti cian and ma n. Only by closely combining the ory and pra ctice t ogether in order to truly realiz e their val ue. "Lear ning" is t he Foundati on, the Foundation is not strong, s haking; " "Is t he key to net t o net thousands of a ccounts . 。 泄 宣 值 价 感 情 华 升 结 总 验 经 识 知 活 实 炼 提 头 口 言 语 用 运 句 词 字 对 于 在 现 表 更 性 要 重 它 , 忆 记 和 考 思 象 想 联 、 力 察 观 的 生 学 养 培 能 但 不 作 写

"Two" education, "" lay the basi s, goi ng to "do" the key grip, s o that the "lear ning" a nd "doing" ba ck to sta ndard, so t hat the maj orit y of party members "learn" lear ning theory of nutrient s, in the "doi ng" practi ce party's pur poses. Se cond, t o establi sh a s ens e of de pth. "Learni ng" and "do" not Chu draw n, entirely different, but the orga nic unity of the whole. "Two" lear ning e ducation, we need to ex plore i ntegrating "learni ng" in "do", exhi bit "do" i n "Science". To avoi d the "learni ng" into simple room instr ucti on, "do" into a monot one for doi ng.

Should ex ploration "learn" in t he ha s "do", "do" in the has "lear n" of

education a nd practi ce of carrie r, makes general gras s-r oots members ca n in "learn" in t he ha s "do" of achievement s sense, i n "do" in the has "lear n" of get sense , real makes party of the ory brai n into heart, put for people s ervice conce pt out side of Yu sha ped. Thir d, to adhere to l ong -term the aw areness . Style construction on the roa d forever, "two" ha d to cat ch t he long -term. "Two" study and education, by no mea ns, as sault -style wi nd-sport, but the re current e ducation withi n the party. I n rece nt years, the party's mass li ne educati on practice and "three-t hree" special e ducation in grass -roots borne ri ch fruits , vast num bers of party member s and cadre s withstood the baptism of the spirit . "Two" greater need to focus on l onger hol d long-term, to esta blis h and perfect t he effective mechanism of the education, focusi ng on the cre ation of long -term education, strive to make the vast number of party members to maintai n their va nguard Col or, ma i ntain the party's adva nce d nat ure and purit y. Aware ness -raisi ng, ante nna s and atmosphere – a dis cus sion on how leadi ng cadre s of party members "two" curre nt, "two" activity is in full swing up a nd dow n the country, party cadre s as a "key minority" is bot h a bar ometer and im petus . The "two" meani ng enoug h dee p, is t o determine t he party ca dres can res olve to study har d first. In the "two" in the pr oce ss, s ome ca dres of hi mself, standing l ong, high aware nes s, that Constit ution Party rules i s simple , its not w orth botheri ng s ome party ca dres thi nk spe ak series has nothi ng to do with t he grass -roots work, water busi nes s learni ng series of spee ches see n as wi ndow dre ssing . These "lazy, casual, and de cade nt" ideas le arning la cks motivation, a seri ous im pedime nt to "two" effect. John St uart Mill once said, only a basi c element of human t houg ht patterns change dramati cally, human destiny can make great improveme nt. The same, only party members a nd

Learn General S ecretary on "two to l earn a" stre ngthening "four Consci ousnes ses" important s pee ch caus ed a str ong rea ction in t he country. T ime, watching "red treas ure", the origin of buildi ng the party ba ck to powe r, how to stre ngthe n servi ces for t he masse s, impr ove party cohe sion, f ighting to become the gras s-r oots party members a nd mas ses hot topic. Grass -roots party organizati ons "tw o" is to stre ngthe n the s ervice of party members and cadre s, the pi oneer spirit. Distribution of grass -roots party organizati ons in all wa lks of people, cl othi ng, s helter, whi ch belongs t o the nerve ending s of the party organiza tion and comments re putation ha s a dire ct per cepti on of the mass es. Strengthen the party a head of the "pe dal" spirit ; strengthen t he party members and ca dres "s uccess doe s not have to be me" an d "the first to bear har dshi ps, t he last t o" service spirit to set the party's positive image am ong the pe opl e is important. Gra ss -roots party orga nizations "two" is t o clea nse all pe opl e not happy not to se e "stereotype s", establi sh t he hone st faithful, di ligent faith for the pe ople . No nee d to av oid mentioni ng that, s ome members of our party ca n not stand the "money," corrosi on of temptation, t hin, Xu Z hou, s uch abuse a nd corrupt bri ber y, malfeasance borers, a nd rats. Tw o, is to clea n up, thi n, Xu, Zhou's sol ution to restore t he party' s fresh and nat ural, s olid a nd honest work style. Cleansing "take, eat, card," unde sirable a nd behavi our, "cross, hard a nd col d, push" attitude. Gras s-r oots party organi zations "two" is to stre ngthe n the sense of or dinary party members, participati ng in cons ciousne ss, unity c onsci ousnes s. For reas ons known, mem bers of gras s-roots party branches le ss mobile, l ess res our ces, a nd t he constructi on of party organiz ations have some lag. Tw o studies, i s to focus on t he grass -root s party bra nches "loose, soft, loose" pr oblem, a dvance the party members a nd cadre s, "a gang worki ng", "Hong Kong report." Strong cleanup acti ons, style and rambli ng, pre sumpt uous "unqualified" party member s, pays spe cial attenti on to party members a nd cadres "j oini ng party of thoug ht" probl em. "Party buildi ng" is obtai ned i n the long -term devel opme nt of our party's histori cal experie nce accumulated. Tw o is our party under the new hist orical conditions, strengthe n the party's constr ucti on of a ne w "rectificatio n movement." Gras s-r oots party organizati ons shoul d always cat ch the hard w ork, res ults-oriente d. Two educational outcome s are long-term orie nted a nd become an important impetus for the work . "Two" should have three ki nds of cons ciousness "two" study and ed ucati on, basic le arni ng lies in t he doing. Only the Constituti on a ddres s the s eries of party rul es, a nd do solid w ork, be qualifie d party members had a s olid i deol ogical basi s. Only the "learni ng" and "do" real unity, to form a "learn -learn-do-do" the virt uous cy cle, a nd ultimately a chieve t he fundamental obje ctive of educati on. T his re quires t hat the Orga nization

1 1 a3 ,三棱柱体积为 a3 ,四分之一圆柱的体积为 ? a 3 ,所以它们的体积之比为 4 : 2 : ? . 4 2 11. 【解析】该程序框图的作用是计算 12 ? 11 ? 10 的值。
12.【解析】圆心到直线的距离 d ?

2?m 2

?1? 2 ? 2 ? m ? 2 ? 2 .
4 7 4 7 . 7

13.【解析】抛物线焦点 F(4,0)得 c ? 4

又 a 2 ? 9 ? 16, 得 a ? 7 ,故 e ?

?

14. 【解析】曲线 ?

? x ? sin ? (? 为参数) 2 ? y ? sin ?

为抛物线段 y ? x2 (?1 ? x ? 1) , 借助图形直观易得 0 ? a ? 1 。 15.【解析】由条件不难得 ?ABC 为等腰直角三角形, 设圆的半径为 1,则 OB ? 1 , BC ? 2 , OC ? 三、解答题 16. (本小题满分 12 分)

5 , sin ?BCO ?

1 5 。 ? 5 5

?? ? 解: (1) y= 3 sin 2 x ? sin 4 x ? cos 4 x = 3 sin 2 x ? cos 2 x=2sin ? 2 x ? ? 6? ?

?

?

………… 4 分

所以 T ? ? , ymin ? ?2 (2) 令2k? -

………… 6 分

?
2

? 2x ?

?
6

? 2k? ?

?
2

,k ? Z,则k? -

?
6

? x ? k? ?

?
3

,k ? Z

………… 8 分 ………… 10 分

5? 4? , ] 或 x ?[ , ] , 6 3 6 3 ? 5? 与 x ? [0, ? ] 取交集, 得到 x ?[0, ] 或 x ?[ , ? ] , 3 6 ? ? ? ? 5? ? 所以,当 x ? [0, ? ] 时,函数的 递增区间是 ?0, ? 和 ? ,? ? ? 3? ? 6 ? .
令 k ? 0,1 ,得到 x ?[17. (本小题满分 12 分)

? ?

………… 12 分

解: (1)从条表图上可知,共生产产品 50+100+150+200=500(件) ,样品比为 所以 A、B、C、D 四种型号的产品分别取

50 1 ? 500 10

1 1 1 1 ?100 ? 10, ? 200 ? 20, ? 50 ? 5, ?150 ? 15 10 10 10 10
即样本中应抽取 A 产品 10 件,B 产品 20 件,C 产品 5 件,D 产品 15 件。……… 4 分 (2) P(? ? 0) ?
3 C5 2 ? , 3 C15 91 1 C10 ? C52 20 ? 3 C15 91

P(? ? 1) ?

learning e ducation, nee d three ki nds of consciousne ss: one i s to establi sh a n integrated aware nes s. "Lear ning" and "do" what car isTwo-w heel, bird wi ngs, need to g o ha nd in hand, one e nd ca n be negle cted. Communist the oreticia n and man. Only by clos ely com bini ng the ory and practi ce togethe r in order to tr uly realize the ir value. "Le arni ng" is the Foundati on, t he Foundati on i s not str ong, s haki ng; " "Is the key to net to net thousa nds of accounts. 。 泄 宣 值 价 感 情 华 升 结 总 验 经 识 知 活 实 炼 提 头 口 言 语 用 运 句 词 字 对 于 在 现 表 更 性 要 重 它 , 忆 记 和 考 思 象 想 联 、 力 察 观 的 生 学 养 培 能 但 不 作 写

"Two" education, "" lay the basi s, goi ng to "do" the key grip, so that t he "learni ng" and "doing" ba ck to standard, so that t he majority of party members "learn" learni ng the ory of nutrie nt s, i n the "doing" practi ce party's pur poses. Se cond, to e stablis h a se nse of dept h. "Lear ning" and "do" not Chu drawn, entirely different, but the organi c unity of the whole. "Two" lear ning educati on, we nee d to expl ore integrating "lear ning" in "do", exhibit "do" in "Scie nce". To avoi d the "learni ng" into sim ple room i nstruction, "do" int o a monotone for doi ng.

Should ex ploration "learn" in the has "do", "do" in the has "lear n" of education and practi ce of carrie r, makes

general grass -roots mem bers ca n in "lear n" in the ha s "do" of achievement s sense, i n "do" in the has "lear n" of get sense, real makes party of theory brain i nto heart, put for people servi ce concept outsi de of Yu s hape d. T hird, to a dhere to long-term the awar enes s. Style constr ucti on on the r oad forever, "two" ha d to catch the l ong -term. "Two" study a nd e ducation, by no means , assa ult-style wi nd-s port, but the re curre nt education within the party. I n recent years, the party's mass li ne e ducati on practi ce and "three-t hree" special e ducation in grass -roots borne ri ch fruits, vast number s of party members and cadres withstood t he ba ptism of the s pirit. "Two" greater nee d to focus on longer hold l ong -term, to establi sh a nd perfect the effective mechani sm of the educati on, focusi ng on the creation of long -term education, strive to make the vast number of party members to maintai n t heir vanguard Color, maintain t he party's a dvanced nat ure and purity. Aware ness -raisi ng, ante nna s and atmos phere – a dis cus sion on how leadi ng cadre s of party members "two" current, "two" activity i s in full swi ng up and down the

country, party cadre s as a "key minority" is bot h a bar ometer and im petus . The "two" meani ng enoug h de ep, is t o determine the party ca dres can res olve to st udy har d first. In the "two" in the pr oce ss, s ome ca dres of hims elf, standi ng long , high aw arene ss, that Constitution Party rule s is simple, it s not wort h botheri ng some party cadre s think speak s eries has nothi ng to do with the gras s-r oots w ork, water business lear ning series of s pee che s see n as wi ndow dres sing.

These "laz y, ca sual, a nd deca dent" ideas learning la cks motivation, a seri ous im pedime nt to "two" effect. John Stuart Mil l once said, only a basi c element of human t hought patterns change dramati cally, huma n desti ny can make great im proveme nt. The same, only party member s and

6

Learn G eneral Se cretary on "two t o learn a" strengt heni ng "four Cons cious nesse s" important spee ch caused a str ong reacti on i n the country. T ime, watching "red treasure", the origi n of buildi ng the party back t o power, how to strengthe n servi ces for the masses, im prove party cohesion, fig hting to be come t he grass -root s party members a nd mas ses hot topi c. Gras s-r oots party organizati ons "two" is to strengthen the service of party members a nd cadres, t he pi one er spirit . Distribution of grass -root s party organi zations in all wa lks of pe ople , clot hing , she lter, w hich bel ongs t o the ner ve endi ngs of the party organizati on a nd comments re putation ha s a dire ct perception of the mas ses. Strengthen the party ahe ad of the "pe dal" spirit; strengt hen the party members a nd cadres "s uccess doe s not have to be me" and "the first to bear hards hips, the la st to" service spirit to s e t the party's posit ive image among the people is important. Gras s-r oots party organizati ons "two" is to clea nse all people not ha ppy not to se e "stereotype s", establis h the honest faithful, diligent faith for the people. No need to avoid mentioni ng that, s ome members of our party can not stand the "money," corrosi on of temptation, thi n, Xu Zhou, s uch abuse a nd corr upt bri bery, malfeasance borers, and rats. Two, i s to clea n up, thi n, Xu, Zhou's sol ution t o restore the party's fresh a nd natural, s olid a nd honest work style . Cleansing "take, eat, card," undesirabl e and be haviour, "cross, hard and cold, push" attitude . Grass -roots party orga nizations "two" is to stre ngthe n the se nse of ordi nary party members, partici pating i n cons ciousne ss, unity consci ous nes s. For reas ons k now n, member s of grass-r oots party branche s less mobile, le ss res ource s, and the construction of party organi zations have s ome lag. Two studi es, is to focus on t he grass -roots party bra nches "loose, s oft, loose" problem, adva nce t he party members a nd cadre s, "a gang worki ng", "Hong Kong re port." Strong cleanup a ctions, style a nd r ambling, presumpt uous "unqualified" party members, pays s peci al attention to party members a nd cadres "j oini ng party of thought" problem. "Party building" is obtaine d in the long -term devel opme nt of our party's hist orical experience accumulated. Tw o is our party under the new hist orical conditions, strengthe n the party's constr ucti on of a ne w "rectification movement." Gras s-r oots party organizati ons shoul d always cat ch the hard w ork, res ults-oriente d. Two educational outcome s are long-term orie nted a nd become an important impetus for the work . "Two" should have three ki nds of cons ciousness "two" study and educati on, basic le arni ng lies in t he doing. Only the Constituti on a ddres s the s eries of party rul es, a nd do solid w ork, be qualifie d party members had a s olid i deol ogical basi s. Only the "learni ng" and " do" real unity, to form a "learn -learn-do-do" the virt uous cy cle, a nd ultimately a chieve t he fundamental obje ctive of educati on. T his re quires t hat the Orga nization

P(? ? 2) ?

2 1 C10 ? C5 45 , ? 3 C15 91

P(? ? 3) ?

3 C10 24 ? 3 C15 91

……… 8 分

所以 ? 的分布列为

?
P

0

1

2

3

2 91

20 91

45 91
………12 分

24 91
……… 10 分

E? ?

20 45 24 ? 2 ? ? 3? ? 2 91 91 91

18. (本小题满分 14 分) (1) 解法 1 证明:∵ EF ? 平面 AEB , AE ? 平面 AEB , ∴ EF ? AE , 又 AE ? EB, EB EF ? E , EB, EF ? 平面 BCFE , ∴ AE ? 平面 BCFE . …………2 分 过 D 作 DH / / AE 交 EF 于 H ,则 DH ? 平面 BCFE . ∵ EG ? 平面 BCFE , ∴ DH ? EG . …………4 分 ∵ AD / / EF , DH / / AE ,∴四边形 AEHD 平行四边形,
A M D

E B G

H C

F

∴ EH ? AD ? 2 , ∴ EH ? BG ? 2 ,又 EH / / BG, EH ? BE , ∴四边形 BGHE 为正方形, ∴ BH ? EG , ……………6 分 又 BH DH ? H , BH ? 平面 BHD , DH ? 平面 BHD , ∴ EG ⊥平面 BHD . ………………………7 分 ∵ BD ? 平面 BHD , ∴ BD ? EG . …… …………………8 分 (2)∵ AE ? 平面 BCFE , AE ? 平面 AEFD ∴平面 AEFD ⊥平面 BCFE 由(1)可知 GH ? EF GH ∴ ⊥平面 AEFD ∵ DE ? 平面 AEFD ∴ GH ? DE … …………………9 分 取 DE 的中点 M ,连结 MH , MG ∵四边形 AEHD 是正方形, ∴ MH ? DE ∵ MH ? GH ? H , MH ? 平面 GHM , GH ? 平面 GHM ∴ DE ⊥平面 GHM ∴ DE ⊥ MG ∴ ?GMH 是二面角 G ? DE ? F 的平面角, …… …………………12 分 由计算得 GH ? 2, MH ? 2, MG ? 6

learning e ducation, nee d three k inds of cons ci ous nes s: one is t o establi sh a n integrated aware nes s. "Lear ning" and "do" w hat car isT wo-whe el, bir d wing s, nee d to g o ha nd i n ha nd, one e nd can be neglecte d. Communi st theoreti cian and ma n. Only by closely combining the ory and pra ctice t ogether in order to truly realiz e their val ue. "Lear ning" is t he Foundati on, the Foundation is not strong, s haking; " "Is t he key to net t o net thousands of a ccounts . 。 泄 宣 值 价 感 情 华 升 结 总 验 经 识 知 活 实 炼 提 头 口 言 语 用 运 句 词 字 对 于 在 现 表 更 性 要 重 它 , 忆 记 和 考 思 象 想 联 、 力 察 观 的 生 学 养 培 能 但 不 作 写

"Two" education, "" lay the basi s, goi ng to "do" the key grip, s o that the "lear ning" a nd "doing" ba ck to sta ndard, so t hat the maj orit y of party members "learn" lear ning theory of nutrient s, in the "doi ng" practi ce party's pur poses. Se cond, t o establi sh a s ens e of de pth. "Learni ng" and "do" not Chu draw n, entirely different, but the orga nic unity of the whole. "Two" lear ning e ducation, we need to ex plore i ntegrating "learni ng" in "do", exhi bit "do" i n "Science". To avoi d the "learni ng" into simple room instr ucti on, "do" into a monot one for doi ng.

Should ex ploration "learn" in t he ha s "do", "do" in the has "lear n" of

education a nd practi ce of carrie r, makes general gras s-r oots members ca n in "learn" in t he ha s "do" of achievement s sense, i n "do" in the has "lear n" of get sense , real makes party of the ory brai n into heart, put for people s ervice conce pt out side of Yu sha ped. Thir d, to adhere to l ong -term the aw areness . Style construction on the roa d forever, "two" ha d to cat ch t he long -term. "Two" study and education, by no mea ns, as sault -style wi nd-sport, but the re current e ducation withi n the party. I n rece nt years, the party's mass li ne educati on practice and "three-t hree" special e ducation in grass -roots borne ri ch fruits , vast num bers of party member s and cadre s withstood the baptism of the spirit . "Two" greater need to focus on l onger hol d long-term, to esta blis h and perfect t he effective mechanism of the education, focusi ng on the cre ation of long -term education, strive to make the vast number of party members to maintai n their va nguard Col or, ma i ntain the party's adva nce d nat ure and purit y. Aware ness -raisi ng, ante nna s and atmosphere – a dis cus sion on how leadi ng cadre s of party members "two" curre nt, "two" activity is in full swing up a nd dow n the country, party cadre s as a "key minority" is bot h a bar ometer and im petus . The "two" meani ng enoug h dee p, is t o determine t he party ca dres can res olve to study har d first. In the "two" in the pr oce ss, s ome ca dres of hi mself, standing l ong, high aware nes s, that Constit ution Party rules i s simple , its not w orth botheri ng s ome party ca dres thi nk spe ak series has nothi ng to do with t he grass -roots work, water busi nes s learni ng series of spee ches see n as wi ndow dre ssing . These "lazy, casual, and de cade nt" ideas le arning la cks motivation, a seri ous im pedime nt to "two" effect. John St uart Mill once said, only a basi c element of human t houg ht patterns change dramati cally, human destiny can make great improveme nt. The same, only party members a nd

Learn General S ecretary on "two to l earn a" stre ngthening "four Consci ousnes ses" important s pee ch caus ed a str ong rea ction in t he country. T ime, watching "red treas ure", the origin of buildi ng the party ba ck to powe r, how to stre ngthe n servi ces for t he masse s, impr ove party cohe sion, f ighting to become the gras s-r oots party members a nd mas ses hot topic. Grass -roots party organizati ons "tw o" is to stre ngthe n the s ervice of party members and cadre s, the pi oneer spirit. Distribution of grass -roots party organizati ons in all wa lks of people, cl othi ng, s helter, whi ch belongs t o the nerve ending s of the party organiza tion and comments re putation ha s a dire ct per cepti on of the mass es. Strengthen the party a head of the "pe dal" spirit ; strengthen t he party members and ca dres "s uccess doe s not have to be me" an d "the first to bear har dshi ps, t he last t o" service spirit to set the party's positive image am ong the pe opl e is important. Gra ss -roots party orga nizations "two" is t o clea nse all pe opl e not happy not to se e "stereotype s", establi sh t he hone st faithful, di ligent faith for the pe ople . No nee d to av oid mentioni ng that, s ome members of our party ca n not stand the "money," corrosi on of temptation, t hin, Xu Z hou, s uch abuse a nd corrupt bri ber y, malfeasance borers, a nd rats. Tw o, is to clea n up, thi n, Xu, Zhou's sol ution to restore t he party' s fresh and nat ural, s olid a nd honest work style. Cleansing "take, eat, card," unde sirable a nd behavi our, "cross, hard a nd col d, push" attitude. Gras s-r oots party organi zations "two" is to stre ngthe n the sense of or dinary party members, participati ng in cons ciousne ss, unity c onsci ousnes s. For reas ons known, mem bers of gras s-roots party branches le ss mobile, l ess res our ces, a nd t he constructi on of party organiz ations have some lag. Tw o studies, i s to focus on t he grass -root s party bra nches "loose, soft, loose" pr oblem, a dvance the party members a nd cadre s, "a gang worki ng", "Hong Kong report." Strong cleanup acti ons, style and rambli ng, pre sumpt uous "unqualified" party member s, pays spe cial attenti on to party members a nd cadres "j oini ng party of thoug ht" probl em. "Party buildi ng" is obtai ned i n the long -term devel opme nt of our party's histori cal experie nce accumulated. Tw o is our party under the new hist orical conditions, strengthe n the party's constr ucti on of a ne w "rectificatio n movement." Gras s-r oots party organizati ons shoul d always cat ch the hard w ork, res ults-oriente d. Two educational outcome s are long-term orie nted a nd become an important impetus for the work . "Two" should have three ki nds of cons ciousness "two" study and ed ucati on, basic le arni ng lies in t he doing. Only the Constituti on a ddres s the s eries of party rul es, a nd do solid w ork, be qualifie d party members had a s olid i deol ogical basi s. Only the "learni ng" and "do" real unity, to form a "learn -learn-do-do" the virt uous cy cle, a nd ultimately a chieve t he fundamental obje ctive of educati on. T his re quires t hat the Orga nization

∴ cos ?GMH ?

2 6

?

3 3

…… …………………13 分

∴平面 DEG 与平面 DEF 所成锐二面角的余弦值为

3 .…… …………………14 分 3

解法 2 ∵ EF ? 平面 AEB , AE ? 平面 AEB , BE ? 平面 AEB , ∴ EF ? AE , EF ? BE , 又 AE ? EB , ∴ EB, EF , EA 两两垂直. ……………………2 分 以点 E 为坐标原点, EB, EF , EA 分别为 x, y, z 轴 建立如图所示的空间直角坐标系. 由已知得, A (0,0,2) , B (2,0,0) , C (2,4,0) , F (0,3,0) , D (0,2,2) , G (2,2,0). …………………………4 分 ∴ EG ? (2,2,0) , BD ? (?2,2,2) ,………6 分 ∴ BD ? EG ? ?2 ? 2 ? 2 ? 2 ? 0 , ∴ BD ? EG . ………7 分

A

z

D

E

F

y

x B

G

C

…………………………8 分 ………………………9 分

(2)由已知得 EB ? (2,0,0) 是平面 DEF 的法向量. 设平面 DEG 的法向量为 n ? ( x, y, z ) , ∵ ED ? (0,2,2), EG ? (2,2,0) ,

? ED ? n ? 0 ?y ? z ? 0 ? ∴? ,即 ? ,令 x ? 1 ,得 n ? (1, ?1,1) . ……………12 分 ?x ? y ? 0 ? ? EG ? n ? 0
设平面 DEG 与平面 DEF 所成锐二面角的大小为 ? , 则 cos? ?| cos ? n, EB ?|?

| n EB | 2 3 ? ? 3 | n | | EB | 2 3

…………………………13 分

∴平面 DEG 与平面 DEF 所成锐二面角的余弦值为 19. (本小题满分 14 分)

3 . …………………………14 分 3

1 1 1 1 1 bn ? ,所以 bn ?1 ? ? (bn ? ) 2 4 2 2 2 1 1 1 则 {bn ? } 成等比数列,首项为 b1 ? ? 3 ,公比为 …………2 分 2 2 2 1 1 n ?1 1 n ?1 1 所以 bn ? ? 3 ? ( ) , bn ? 3 ? ( ) ? …………4 分 2 2 2 2 1 n ?1 1 (2)因为 bn ? 3 ? ( ) ? 2 2
* 解: (1)对任意 n ? N ,都有 bn ?1 ?

learning e ducation, nee d three ki nds of consciousne ss: one i s to establi sh a n integrated aware nes s. "Lear ning" and "do" what car isTwo-w heel, bird wi ngs, need to g o ha nd in hand, one e nd ca n be negle cted. Communist the oreticia n and man. Only by clos ely com bini ng the ory and practi ce togethe r in order to tr uly realize the ir value. "Le arni ng" is the Foundati on, t he Foundati on i s not str ong, s haki ng; " "Is the key to net to net thousa nds of accounts. 。 泄 宣 值 价 感 情 华 升 结 总 验 经 识 知 活 实 炼 提 头 口 言 语 用 运 句 词 字 对 于 在 现 表 更 性 要 重 它 , 忆 记 和 考 思 象 想 联 、 力 察 观 的 生 学 养 培 能 但 不 作 写

"Two" education, "" lay the basi s, goi ng to "do" the key grip, so that t he "learni ng" and "doing" ba ck to standard, so that t he majority of party members "learn" learni ng the ory of nutrie nt s, i n the "doing" practi ce party's pur poses. Se cond, to e stablis h a se nse of dept h. "Lear ning" and "do" not Chu drawn, entirely different, but the organi c unity of the whole. "Two" lear ning educati on, we nee d to expl ore integrating "lear ning" in "do", exhibit "do" in "Scie nce". To avoi d the "learni ng" into sim ple room i nstruction, "do" int o a monotone for doi ng.

Should ex ploration "learn" in the has "do", "do" in the has "lear n" of education and practi ce of carrie r, makes

general grass -roots mem bers ca n in "lear n" in the ha s "do" of achievement s sense, i n "do" in the has "lear n" of get sense, real makes party of theory brain i nto heart, put for people servi ce concept outsi de of Yu s hape d. T hird, to a dhere to long-term the awar enes s. Style constr ucti on on the r oad forever, "two" ha d to catch the l ong -term. "Two" study a nd e ducation, by no means , assa ult-style wi nd-s port, but the re curre nt education within the party. I n recent years, the party's mass li ne e ducati on practi ce and "three-t hree" special e ducation in grass -roots borne ri ch fruits, vast number s of party members and cadres withstood t he ba ptism of the s pirit. "Two" greater nee d to focus on longer hold l ong -term, to establi sh a nd perfect the effective mechani sm of the educati on, focusi ng on the creation of long -term education, strive to make the vast number of party members to maintai n t heir vanguard Color, maintain t he party's a dvanced nat ure and purity. Aware ness -raisi ng, ante nna s and atmos phere – a dis cus sion on how leadi ng cadre s of party members "two" current, "two" activity i s in full swi ng up and down the

country, party cadre s as a "key minority" is bot h a bar ometer and im petus . The "two" meani ng enoug h de ep, is t o determine the party ca dres can res olve to st udy har d first. In the "two" in the pr oce ss, s ome ca dres of hims elf, standi ng long , high aw arene ss, that Constitution Party rule s is simple, it s not wort h botheri ng some party cadre s think speak s eries has nothi ng to do with the gras s-r oots w ork, water business lear ning series of s pee che s see n as wi ndow dres sing.

These "laz y, ca sual, a nd deca dent" ideas learning la cks motivation, a seri ous im pedime nt to "two" effect. John Stuart Mil l once said, only a basi c element of human t hought patterns change dramati cally, huma n desti ny can make great im proveme nt. The same, only party member s and

8

Learn G eneral Se cretary on "two t o learn a" strengt heni ng "four Cons cious nesse s" important spee ch caused a str ong reacti on i n the country. T ime, watching "red treasure", the origi n of buildi ng the party back t o power, how to strengthe n servi ces for the masses, im prove party cohesion, fig hting to be come t he grass -root s party members a nd mas ses hot topi c. Gras s-r oots party organizati ons "two" is to strengthen the service of party members a nd cadres, t he pi one er spirit . Distribution of grass -root s party organi zations in all wa lks of pe ople , clot hing , she lter, w hich bel ongs t o the ner ve endi ngs of the party organizati on a nd comments re putation ha s a dire ct perception of the mas ses. Strengthen the party ahe ad of the "pe dal" spirit; strengt hen the party members a nd cadres "s uccess doe s not have to be me" and "the first to bear hards hips, the la st to" service spirit to s e t the party's posit ive image among the people is important. Gras s-r oots party organizati ons "two" is to clea nse all people not ha ppy not to se e "stereotype s", establis h the honest faithful, diligent faith for the people. No need to avoid mentioni ng that, s ome members of our party can not stand the "money," corrosi on of temptation, thi n, Xu Zhou, s uch abuse a nd corr upt bri bery, malfeasance borers, and rats. Two, i s to clea n up, thi n, Xu, Zhou's sol ution t o restore the party's fresh a nd natural, s olid a nd honest work style . Cleansing "take, eat, card," undesirabl e and be haviour, "cross, hard and cold, push" attitude . Grass -roots party orga nizations "two" is to stre ngthe n the se nse of ordi nary party members, partici pating i n cons ciousne ss, unity consci ous nes s. For reas ons k now n, member s of grass-r oots party branche s less mobile, le ss res ource s, and the construction of party organi zations have s ome lag. Two studi es, is to focus on t he grass -roots party bra nches "loose, s oft, loose" problem, adva nce t he party members a nd cadre s, "a gang worki ng", "Hong Kong re port." Strong cleanup a ctions, style a nd r ambling, presumpt uous "unqualified" party members, pays s peci al attention to party members a nd cadres "j oini ng party of thought" problem. "Party building" is obtaine d in the long -term devel opme nt of our party's hist orical experience accumulated. Tw o is our party under the new hist orical conditions, strengthe n the party's constr ucti on of a ne w "rectification movement." Gras s-r oots party organizati ons shoul d always cat ch the hard w ork, res ults-oriente d. Two educational outcome s are long-term orie nted a nd become an important impetus for the work . "Two" should have three ki nds of cons ciousness "two" study and educati on, basic le arni ng lies in t he doing. Only the Constituti on a ddres s the s eries of party rul es, a nd do solid w ork, be qualifie d party members had a s olid i deol ogical basi s. Only the "learni ng" and " do" real unity, to form a "learn -learn-do-do" the virt uous cy cle, a nd ultimately a chieve t he fundamental obje ctive of educati on. T his re quires t hat the Orga nization

1 ) n 1 1 1 n n 1 n 2 所以 Tn ? 3(1 ? ? 2 ? ... ? n ?1 ) ? ? ? ? 6(1 ? n ) ? …………7 分 1 2 2 2 2 2 2 2 1? 2 12k 因为不等式 ? 2n ? 7 , (12 ? n ? 2Tn ) 2n ? 7 * 化简得 k ? 对任意 n ? N 恒成立 ……………8 分 2n 2n ? 7 2(n ? 1) ? 7 2n ? 7 9 ? 2n ? ? n ?1 设 cn ? ,则 cn ?1 ? cn ? n 2 2n ?1 2n 2 当 n ? 5 , cn?1 ? cn , {cn } 为单调递减数列, 当 1 ? n ? 5 , cn?1 ? cn , {cn } 为 单调递增数列 …………11 分 1 3 3 ? c4 ? c5 ? ,所以, n ? 5 时, cn 取得最大值 …………13 分 16 32 32 2n ? 7 3 * 所以, 要使 k ? 对任意 n ? N 恒成立, k ? …………14 分 n 2 32 3(1 ?
20. (本小题满分 14 分) 解: (1)由题意得, F1 (?1,0), F2 (1,0), 圆 F1 的半径为 2 2 ,且 | MF2 |?| MP | 从而 | MF1 | ? | MF2 |?| MF1 | ? | MP |?| PF1 |? 2 2 ?| F1F2 | ∴ 点 M 的轨迹是以 F1 , F2 为焦点的椭圆, ………… 3 分 ……… 1 分

………… 5 分

其中长轴 2a ? 2 2 ,得到 a ? 2 ,焦距 2c ? 2 , 则短半轴 b ? 1 椭圆方程为:

x2 ? y2 ? 1 2

………… 6 分

? y ? kx ? n ? (2)设直线 l 的方程为 y ? kx ? n ,由 ? x 2 2 ? ? y ?1 ?2
可得 (2k 2 ? 1) x2 ? 4knx ? 2n2 ? 2 ? 0 则 ? ? 16k 2 n2 ? 8(n2 ? 1)(2k 2 ? 1) ? 0 ,即 2k 2 ? n 2 ? 1 ? 0 设 P( x1 , y1 ), Q( x2 , y2 ) ,则 x1 ? x2 ? ① ………… 8 分

?4kn 2n 2 ? 2 , x x ? 1 2 2k 2 ? 1 2k 2 ? 1
…………10 分

由 OP ? OQ ? 0 可得 x1 x2 ? y1 y2 ? 0 ,即 x1 x2 ? (kx1 ? n)(kx2 ? n) ? 0 整理可得 (k 2 ? 1) x1 x2 ? kn( x1 ? x2 ) ? n2 ? 0 即 …………12 分

(k 2 ? 1)(2n 2 ? 2) ?4kn ? kn ? ( 2 ) ? n 2 ? 0 2k 2 ? 1 2k ? 1

learning e ducation, nee d three k inds of cons ci ous nes s: one is t o establi sh a n integrated aware nes s. "Lear ning" and "do" w hat car isT wo-whe el, bir d wing s, nee d to g o ha nd i n ha nd, one e nd can be neglecte d. Communi st theoreti cian and ma n. Only by closely combining the ory and pra ctice t ogether in order to truly realiz e their val ue. "Lear ning" is t he Foundati on, the Foundation is not strong, s haking; " "Is t he key to net t o net thousands of a ccounts . 。 泄 宣 值 价 感 情 华 升 结 总 验 经 识 知 活 实 炼 提 头 口 言 语 用 运 句 词 字 对 于 在 现 表 更 性 要 重 它 , 忆 记 和 考 思 象 想 联 、 力 察 观 的 生 学 养 培 能 但 不 作 写

"Two" education, "" lay the basi s, goi ng to "do" the key grip, s o that the "lear ning" a nd "doing" ba ck to sta ndard, so t hat the maj orit y of party members "learn" lear ning theory of nutrient s, in the "doi ng" practi ce party's pur poses. Se cond, t o establi sh a s ens e of de pth. "Learni ng" and "do" not Chu draw n, entirely different, but the orga nic unity of the whole. "Two" lear ning e ducation, we need to ex plore i ntegrating "learni ng" in "do", exhi bit "do" i n "Science". To avoi d the "learni ng" into simple room instr ucti on, "do" into a monot one for doi ng.

Should ex ploration "learn" in t he ha s "do", "do" in the has "lear n" of

education a nd practi ce of carrie r, makes general gras s-r oots members ca n in "learn" in t he ha s "do" of achievement s sense, i n "do" in the has "lear n" of get sense , real makes party of the ory brai n into heart, put for people s ervice conce pt out side of Yu sha ped. Thir d, to adhere to l ong -term the aw areness . Style construction on the roa d forever, "two" ha d to cat ch t he long -term. "Two" study and education, by no mea ns, as sault -style wi nd-sport, but the re current e ducation withi n the party. I n rece nt years, the party's mass li ne educati on practice and "three-t hree" special e ducation in grass -roots borne ri ch fruits , vast num bers of party member s and cadre s withstood the baptism of the spirit . "Two" greater need to focus on l onger hol d long-term, to esta blis h and perfect t he effective mechanism of the education, focusi ng on the cre ation of long -term education, strive to make the vast number of party members to maintai n their va nguard Col or, ma i ntain the party's adva nce d nat ure and purit y. Aware ness -raisi ng, ante nna s and atmosphere – a dis cus sion on how leadi ng cadre s of party members "two" curre nt, "two" activity is in full swing up a nd dow n the country, party cadre s as a "key minority" is bot h a bar ometer and im petus . The "two" meani ng enoug h dee p, is t o determine t he party ca dres can res olve to study har d first. In the "two" in the pr oce ss, s ome ca dres of hi mself, standing l ong, high aware nes s, that Constit ution Party rules i s simple , its not w orth botheri ng s ome party ca dres thi nk spe ak series has nothi ng to do with t he grass -roots work, water busi nes s learni ng series of spee ches see n as wi ndow dre ssing . These "lazy, casual, and de cade nt" ideas le arning la cks motivation, a seri ous im pedime nt to "two" effect. John St uart Mill once said, only a basi c element of human t houg ht patterns change dramati cally, human destiny can make great improveme nt. The same, only party members a nd

Learn General S ecretary on "two to l earn a" stre ngthening "four Consci ousnes ses" important s pee ch caus ed a str ong rea ction in t he country. T ime, watching "red treas ure", the origin of buildi ng the party ba ck to powe r, how to stre ngthe n servi ces for t he masse s, impr ove party cohe sion, f ighting to become the gras s-r oots party members a nd mas ses hot topic. Grass -roots party organizati ons "tw o" is to stre ngthe n the s ervice of party members and cadre s, the pi oneer spirit. Distribution of grass -roots party organizati ons in all wa lks of people, cl othi ng, s helter, whi ch belongs t o the nerve ending s of the party organiza tion and comments re putation ha s a dire ct per cepti on of the mass es. Strengthen the party a head of the "pe dal" spirit ; strengthen t he party members and ca dres "s uccess doe s not have to be me" an d "the first to bear har dshi ps, t he last t o" service spirit to set the party's positive image am ong the pe opl e is important. Gra ss -roots party orga nizations "two" is t o clea nse all pe opl e not happy not to se e "stereotype s", establi sh t he hone st faithful, di ligent faith for the pe ople . No nee d to av oid mentioni ng that, s ome members of our party ca n not stand the "money," corrosi on of temptation, t hin, Xu Z hou, s uch abuse a nd corrupt bri ber y, malfeasance borers, a nd rats. Tw o, is to clea n up, thi n, Xu, Zhou's sol ution to restore t he party' s fresh and nat ural, s olid a nd honest work style. Cleansing "take, eat, card," unde sirable a nd behavi our, "cross, hard a nd col d, push" attitude. Gras s-r oots party organi zations "two" is to stre ngthe n the sense of or dinary party members, participati ng in cons ciousne ss, unity c onsci ousnes s. For reas ons known, mem bers of gras s-roots party branches le ss mobile, l ess res our ces, a nd t he constructi on of party organiz ations have some lag. Tw o studies, i s to focus on t he grass -root s party bra nches "loose, soft, loose" pr oblem, a dvance the party members a nd cadre s, "a gang worki ng", "Hong Kong report." Strong cleanup acti ons, style and rambli ng, pre sumpt uous "unqualified" party member s, pays spe cial attenti on to party members a nd cadres "j oini ng party of thoug ht" probl em. "Party buildi ng" is obtai ned i n the long -term devel opme nt of our party's histori cal experie nce accumulated. Tw o is our party under the new hist orical conditions, strengthe n the party's constr ucti on of a ne w "rectificatio n movement." Gras s-r oots party organizati ons shoul d always cat ch the hard w ork, res ults-oriente d. Two educational outcome s are long-term orie nted a nd become an important impetus for the work . "Two" should have three ki nds of cons ciousness "two" study and ed ucati on, basic le arni ng lies in t he doing. Only the Constituti on a ddres s the s eries of party rul es, a nd do solid w ork, be qualifie d party members had a s olid i deol ogical basi s. Only the "learni ng" and "do" real unity, to form a "learn -learn-do-do" the virt uous cy cle, a nd ultimately a chieve t he fundamental obje ctive of educati on. T his re quires t hat the Orga nization

1 , 2 2 2 )?( , ??) . 故直线 l 在 y 轴上截距的取值范围是 (??, ? 2 2
化简可得 3n 2 ? 2k 2 ? 2 ,代入①整理可得 n2 ? 21. (本小题满分 14 分)

…………14 分

解: (1)由题意可设 g ( x) ? kx( x ? m) , k ? 0 , 又函数图象经过点 P( m ? 1, m ? 1) ,则 m ? 1 ? k (m ? 1)(m ? 1 ? m) ,得 k ? 1 .……… 2 分 (2)由(1)可得 y ? g ( x) ? x( x ? m) ? x2 ? mx 。 所以 f ( x) ? ( x ? n) g ( x) ? x( x ? m)( x ? n) ? x3 ? (m ? n) x 2 ? mnx ,

f / ( x) ? 3x2 ? 2(m ? n) x ? mn ,
函数 f ( x) 在 x ? a 和 x ? b 处取到极值, 故 f / (a) ? 0 , f / (b) ? 0 ,
m?n?0,

………… 4 分

………… 5 分

? f / (m) ? 3m2 ? 2(m ? n)m ? mn ? m2 ? mn ? m(m ? n) ? 0
f / (n) ? 3n2 ? 2(m ? n)n ? mn ? n2 ? mn ? n(n ? m) ? 0
又 b ? a ,故 b ? n ? a ? m 。

………… 7 分

…… 8 分

(3)设切点 Q( x0 , y0 ) ,则切线的斜率 k ? f / ( x0 ) ? 3x02 ? 2(m ? n) x0 ? mn 又 y0 ? x03 ? (m ? n) x02 ? mnx0 ,所以切线的方程是

y ? x03 ? (m ? n) x02 ? mnx0 ? [3x02 ? 2(m ? n) x0 ? mn]( x ? x0 )

…… 9 分

又切线过原点,故 ? x03 ? (m ? n) x02 ? mnx0 ? ?3x03 ? 2(m ? n) x02 ? mnx0

m?n 。 ………… 10 分 2 m?n 两条切线的斜率为 k1 ? f / (0) ? mn , k2 ? f / ( ), 2 1 由 m ? n ? 2 2 ,得 (m ? n)2 ? 8 ,? ? (m ? n)2 ? ?2 , 4 2 m ? n 3(m ? n) m?n 1 )? ? 2( m ? n) ? ? mn ? ? (m ? n) 2 ? mn ? mn ? 2 , ? k2 ? f / ( 2 4 2 4
所以 2 x03 ? (m ? n) x0 2 ? 0 ,解得 x0 ? 0 ,或 x0 ? ………………………… 12 分 所以 k1k2 ? mn(mn ? 2) ? (mn)2 ? 2mn ? (mn ? 1)2 ? 1 ? ?1 , 又两条切线垂直,故 k1k2 ? ?1 ,所以上式等号成立,有 m ? n ? 2 2 ,且 mn ? 1 。 所以 f ( x) ? x3 ? (m ? n) x2 ? mnx ? x3 ? 2 2 x2 ? x 。 ………… 14 分

learning e ducation, nee d three ki nds of consciousne ss: one i s to establi sh a n integrated aware nes s. "Lear ning" and "do" what car isTwo-w heel, bird wi ngs, need to g o ha nd in hand, one e nd ca n be negle cted. Communist the oreticia n and man. Only by clos ely com bini ng the ory and practi ce togethe r in order to tr uly realize the ir value. "Le arni ng" is the Foundati on, t he Foundati on i s not str ong, s haki ng; " "Is the key to net to net thousa nds of accounts. 。 泄 宣 值 价 感 情 华 升 结 总 验 经 识 知 活 实 炼 提 头 口 言 语 用 运 句 词 字 对 于 在 现 表 更 性 要 重 它 , 忆 记 和 考 思 象 想 联 、 力 察 观 的 生 学 养 培 能 但 不 作 写

"Two" education, "" lay the basi s, goi ng to "do" the key grip, so that t he "learni ng" and "doing" ba ck to standard, so that t he majority of party members "learn" learni ng the ory of nutrie nt s, i n the "doing" practi ce party's pur poses. Se cond, to e stablis h a se nse of dept h. "Lear ning" and "do" not Chu drawn, entirely different, but the organi c unity of the whole. "Two" lear ning educati on, we nee d to expl ore integrating "lear ning" in "do", exhibit "do" in "Scie nce". To avoi d the "learni ng" into sim ple room i nstruction, "do" int o a monotone for doi ng.

Should ex ploration "learn" in the has "do", "do" in the has "lear n" of education and practi ce of carrie r, makes

general grass -roots mem bers ca n in "lear n" in the ha s "do" of achievement s sense, i n "do" in the has "lear n" of get sense, real makes party of theory brain i nto heart, put for people servi ce concept outsi de of Yu s hape d. T hird, to a dhere to long-term the awar enes s. Style constr ucti on on the r oad forever, "two" ha d to catch the l ong -term. "Two" study a nd e ducation, by no means , assa ult-style wi nd-s port, but the re curre nt education within the party. I n recent years, the party's mass li ne e ducati on practi ce and "three-t hree" special e ducation in grass -roots borne ri ch fruits, vast number s of party members and cadres withstood t he ba ptism of the s pirit. "Two" greater nee d to focus on longer hold l ong -term, to establi sh a nd perfect the effective mechani sm of the educati on, focusi ng on the creation of long -term education, strive to make the vast number of party members to maintai n t heir vanguard Color, maintain t he party's a dvanced nat ure and purity. Aware ness -raisi ng, ante nna s and atmos phere – a dis cus sion on how leadi ng cadre s of party members "two" current, "two" activity i s in full swi ng up and down the

country, party cadre s as a "key minority" is bot h a bar ometer and im petus . The "two" meani ng enoug h de ep, is t o determine the party ca dres can res olve to st udy har d first. In the "two" in the pr oce ss, s ome ca dres of hims elf, standi ng long , high aw arene ss, that Constitution Party rule s is simple, it s not wort h botheri ng some party cadre s think speak s eries has nothi ng to do with the gras s-r oots w ork, water business lear ning series of s pee che s see n as wi ndow dres sing.

These "laz y, ca sual, a nd deca dent" ideas learning la cks motivation, a seri ous im pedime nt to "two" effect. John Stuart Mil l once said, only a basi c element of human t hought patterns change dramati cally, huma n desti ny can make great im proveme nt. The same, only party member s and

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