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江苏省无锡市东绛实验学校2013年中考数学一轮复习 第三章 函数 第4讲 二次函数


confere nces , learne d superi ors policie s; reports, you ca n learn t o deal wit h problems, art, j ust wante d to lear n, to lear n at any time. To continuously expa nd the scope of the study. T he complexity and comprehensive nes s of our w ork, deci ded to not only do we want to be "profes sionals", or if "generalists", to dabble i n different areas of knowle dge. Mastery of knowle dge not only t o have knowle dge to rational analys is. T his on requirements w e, not only to le arning national of route , and approach, a nd policy, als o to lear ning national of legal, and regulati ons ; not only to wit h political t heory armed mind, al so to wit h economic the ory gui de work ; not only to rea d hist ory, al so to rea d hist ory; not only to a bs orpti on SM of mirror, also t o gets is of roa d; not only t o from local lear n, als o to to outsi de learn; not only to t o books lear n, als o to field st udy lear n. Therefore, I would e ncourage you, and more to the out side w orld w hen I have time to take a look at, take a stroll, outside devel opme nts, learn other pe ople' s devel opme nt appr oach, and the n come ba ck to gui de our work. Se cond, we m ust think . "Learni ng without t houg ht to overs hadow, thinki ng without lear ning i s peril ous." We want to foster t he character of adva nci ng with t he times, forge ahea d, often refle ct themselve s in ada pting to the new sit uation on whet her ther e are delays, have anythi ng to fear in the reform and innovati on, w hether i n terms of accelerating t he devel opme nt of a relaxation, kee p promi sing State of mind. In order to do inve stigations, investigations is t he roa d to heave n, G od di sposes of the ba se. To wants t o real hear d truth, a nd j ustice to truth, a nd get trut h, received effectivene ss, on must i n-dept h act ual, and outreach, and in -de pth mas ses, w orshi p masse s for Division, and masse s heart, wit h masse s with discuss ion everyone care of pr oblem, li steni ng they of call s, understa nd they of mood, feel they of suffering, summary they of experi ence, concentrated t hey of wisdom, es peci ally on mas ses most hope, and most urge nt, and most worrie s, and most complai ned of hot, a nd difficulties a nd focus problem, more to a ctive research, ca ught not put. Dare to i nnovate, i n our work, often remain "the old way does n't work, the new a ppr oac h would not" situati on, the reason, the key is t hat many pe ople know that copyi ng other people's i deas, me cha nica lly, using someone el se's ol d ways. To cha nge this predicament, requires us to bre ak the s hackle s of traditional concepts t o overcome cons ervative, conformist, good at findi ng ne w problems a nd to a cce pt new t hings , summarize new experi ence, ne w ideas , devel opi ng new pr ogrammes and Maveri ck, a new a ppr oach to s olve problems, spee d up devel opme nt. Es pecial ly in impleme nt superior poli cy spir it of process i n the, both im plementation, a nd ca nnot mechani cally, t o to extraordi nary of courage and devel op e nterpri sing of s piri t, put flexibility and principl e com bine d up, put superior of spirit and local reality combine d up, Yong cons piracy to breakthrough of poli cy, a nd exerci se innovation of lift, develope d out development w orks of, and gras s-r oots wel come s of, and

第三章函数 第 4 讲二次函数
A 级 基础题

1.(2011 年上海)抛物线 y=-(x+2) -3 的顶点坐标是( ) A.(2,-3) B.(-2,3) C.(2,3) D.(-2,-3) 2 2.(2012 年山东泰安)将抛物线 y=3x 向上平移 3 个单位,再向左平移 2 个单位,那么 得到的抛物线的解析式为( ) 2 2 A.y=3(x+2) +3 B.y=3(x-2) +3 2 2 C.y=3(x+2) -3 D.y=3(x-2) -3 2 3.(2011 年重庆)已知抛物线 y=ax +bx+c(a≠0)在平面直角坐标系中的位置如图 X3 -4-1 所示,则下列结论中,正确的是( ) A.a> 0 B.b<0 C.c<0 D.a+b+c>0

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图 X3-4-1

图 X3-4-2

4.(2012 年山东泰安)二次函数 y=a(x+m) +n 的图象如图 X3-4-2, 则一次函数 y =mx+n 的图象经过( ) A.第一、二、三象限 B.第一、二、四象限 C.第二、三、四象限 D.第一、三、四象限 5.(2012 年山东济南)如图 X3-4-3,二次函数的图象经过(-2,-1),(1,1)两点, 则下列关于此二次函数的说法正确的是( ) A.y 的最大值小于 0 B.当 x=0 时,y 的值大于 1 C.当 x=-1 时,y 的值大于 1 D.当 x=-3 时,y 的值小于 0

2

图 X3-4-3

图 X3-4-4

6.(2012 年山东日照)二次函数 y=ax +bx+c(a≠0)的图象如图 X3-4-4 所示,给出

2

Accor ding to Office Party of mass line education pra ctice a ctivities le d group of unifie d arrangement s, units main le d to for cadre s workers S hang a times p arty lecture , due to himse lf level limited, only put thi s stage concentrated lear ning of experience today and everyone common wit h learni ng excha nge, purpose is let we furt her de ep understanding mass li ne of connotation, insisted party of mass line, d o masses w ork, following main from four a a spe cts tol d: a, a nd full aware nes s party of mass line education pra ctice a ctivities of major mea ning Party's 18 major distinct proposed to focus on the party's a dvanced nature and purity, i n the party, with "prag mati c and clea n for the pe opl e" as the main content of the party's mass line and educational pra ctice . 准 标 收 验 到 达 中 程 过 在 措 染 污 尘 扬 制 控 与 护 保 境 环 效 取 采 排 动 劳 洁 整 容 通 畅 路 道 序 有 存 备 设 、 料 材 理 合 置 布 场 现 ”。 板 样 全 “安 建 创 , 求 要 范 规 的 地 工 施 明 文 于 关 市 州 兰 照 按 格 严

This is comrade XI Jinping a s party Ge neral Secretary a nd a dhere t o strictly admi nistering t he party, strengthen the party's major de cision is i n line wit h the publ ic expe ctations and strengt heni ng the construction of learni ng-oriente d

service i nnovation of Marxist party's major depl oyment, is t he important measure t o advance the great caus e of socialism wit h Chi nes e characteristi cs. First, carry out t he party's mas s line i n educati on pra ctice, w as carryi ng 18 of the party spirit, summon a powerful force for reali zing the great rej uvenation of the Chi nese nation t he Chine se dream of urge nt nee ds. Party's 18 to pr omote strategic depl oyment to buil ding s oci alism with Chi nese characteri stics , prese nts two 1 00-year g oal, namel y, by 2 020 China' s gross domesti c pr oduct and per capita i ncome of urba n and rural resi dents i n 201 0 on the basi s of doubl e com plete the buil ding of a well-off society; t he middle of this cent ury into a pros perous, democratic, civ ilized a nd harmoni ous Socialist modern country, a nd on thi s bas is, the Chi nese dream of realizing t he great rejuve nation of the Chine se nati on. 18 Congres s of the part y, Comrade XI Jinping repe atedly expounde d the Chi nese dre am. The basi c connotation of the Chine se dream, is t he national prosperit y, nati onal revitalizati on, t he ha ppi nes s of the pe opl e, China important to foll ow is to kee p China Roa d, carry forwar d the s pirit and cohesi on stre ngth of China , dream dreams of the pe opl e of Chi na, but determi ned confidence, e nha nce s elf -aware ness, a chi eve self-relia nce, to bui ld a stronger Chi na, civi lization, harm ony, bea uty, China , Chi na, China. Strategic conce ption of China wa s 18 the spirit of the e nrichment a nd develo pment of the party, conscie ntiously st udy the Chi nese dream, leadi ng pe ople t o hard t o realize the Chi nese dream, mass e ducat ion a ctivities i n depth t he fundamental starti ng point and ending poi nt. Strengthe n the e ducation of the party's mas s line , hel ps to train t he collective consci ousne ss of the unity of the party and the people, playi ng the Chine se dream i deol ogical base s. C omrade Ma o Zedong stress ed that parties s hould have "com mon lang uage" socialist countries must have "unity of will". History ha s

confere nces , learne d superi ors policie s; reports, you ca n learn t o deal wit h problems, art, j ust wante d to lear n, to lear n at any time. To continuously expa nd the scope of the study. T he complexity and comprehensive nes s of our w ork, deci ded to not only do we want to be "profes sionals", or if "generalists", to dabble i n different areas of knowle dge. Mastery of knowle dge not only t o have knowle dge to rational analys is. T his on requirements w e, not only to le arning national of route , and approach, a nd policy, als o to lear ning national of legal, and regulati ons ; not only to wit h political t heory armed mind, al so to wit h economic the ory gui de work ; not only to rea d hist ory, al so to rea d hist ory; not only to a bs orpti on SM of mirror, also t o gets is of roa d; not only t o from local lear n, als o to to outsi de learn; not only to t o books lear n, als o to field st udy l ear n. Therefore, I would e ncourage you, and more to the out side w orld w hen I have time to take a look at, take a stroll, outsid e devel opme nts, learn other pe ople' s devel opme nt appr oach, and the n come ba ck to gui de our work. Se cond, we m ust think . "Learni ng without t houg ht to overs hadow, thinki ng without lear ning i s peril ous." We want to foster t he character of adva nci ng with t he t imes, forge ahea d, often refle ct themselve s in ada pting to the new sit uation on whet her there are delays, have anythi ng to fear in the reform and innovati on, w hether i n terms of accelerating t he devel opme nt of a relaxation, kee p promi sing State of mind. In order to do inve stigations, investigations is t he roa d to heave n, G od di sposes of the ba se. To wants t o real hear d truth, a nd j ustice to truth, a nd get trut h, received effectivene ss, on must i n-dept h act ual, and outreach, and in -de pth mas ses, w orshi p masse s for Division, and masse s heart, wit h masse s with discuss ion everyone care of pr oblem, li steni ng they of call s, understa nd they of mood, feel they of suffering, summary they of experi ence, concentrated t hey of wisdom, es peci ally on mas ses most hope, and most urge nt, and most worrie s, and most complai ned of hot, a nd difficulties a nd focus problem, more to a ctive research, ca ught not put. Dare to i nnovate, i n our work, often remain "the old way does n't work, the new a ppr oach would not" situati on, the reason, the key is t hat many pe ople know that copyi ng other people's i deas, me cha nica lly, using someone el se's ol d ways. To cha nge this predicament, requires us to bre ak the s hackle s of traditional concepts t o overcome cons ervative, conformist, good at findi ng ne w problems a nd to a cce pt new t hings , summarize new experi ence, ne w ideas , devel opi ng new programmes and Maveri ck, a new a ppr oach to s olve problems, spee d up devel opme nt. Es pecial ly in impleme nt superior poli cy spir it of process i n the, both im plementation, a nd ca nnot mechani cally, t o to extraordi nary of courage and devel op e nterpri sing of s pirit, put flexibility and principl e com bine d up, put superior of spirit and local reality combine d up, Yong cons piracy to breakthrough of poli cy, a nd exerci se innovatio n of lift, develope d out development w orks of, and gras s-r oots wel come s of, and

下列结论:①b -4ac>0;②2a+b<0;③4a-2b+c=0;④a∶b∶c=-1∶2∶3.其中正确 的是( ) A.①② B.②③ C.③④ D.①④ 1 2 7.(2011 年广西玉林)已知拋物线 y=- x +2,当 1≤x≤5 时,y 的最大值是( ) 3 2 5 7 A.2 B. C. D. 3 3 3 2 8.(2012 年山东滨州)抛物线 y=-3x -x+4 与坐标轴的交点个数是( ) A.3 B.2 C.1 D.0 2 9.(2011 年江苏淮安)抛物线 y=x -2x-3 的顶点坐标是__________. 2 10. (2012 年山东枣庄)二次函数 y=x -2x-3 的图象如图 X3-4-5 所示. 当 y<0 时, 自变量 x 的取值范围是____________.

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图 X3-4-5

1 2 3 11.(2011 年江苏盐城)已知二次函数 y=- x -x+ . 2 2 (1)在如图 X3-4-6 的直角坐标系中,画出这个函数的图象; (2)根据图象,写出当 y<0 时,x 的取值范围; (3)若将此图象沿 x 轴向右平移 3 个单位,请写出平移后图象所对应的函数关系式.

图 X3-4-6

B 级 中等题 2 12.(2012 年山东枣庄)抛物线 y=ax +bx-3 经过点(2,4),则代数式 8a+4b+1 的值 为( ) A.3 B.9 C.15 D.-15 2 13.(2011 年湖北襄阳)已知二次函数 y=(k-3)x +2x+1 的图象与 x 轴有交点,则 k 的取值范围是( ) A.k<4 B.k≤4 C.k<4 且 k≠3 D.k≤4 且 k≠3 2 14.(2011 年甘 肃兰州)如图 X3-4-7 所示的二次函数 y=ax +bx+c 的图象中,刘星
Accor ding to Office Party of mass line education pra ctice a ctivities le d group of unifie d arrangement s, units main le d to for cadre s workers S hang a times party lecture , due to himse lf level limited, only put thi s stage concentrated lear ning of experience today and everyone common wit h learni ng excha nge, purpose is let we furt her de ep understanding mass li ne of connotation, insisted party of mass line, do masses w ork, following main from four a a spe cts tol d: a, a nd full aware nes s party of mass line educatio n pra ctice a ctivities of major mea ning Party's 18 major distinct proposed to focus on the party's a dvanced nature and purity, i n t he party, with "pragmati c and clea n for the pe opl e" as the main content of the party's mass line and educational pra ctice . 准 标 收 验 到 达 中 程 过 在 措 染 污 尘 扬 制 控 与 护 保 境 环 效 取 采 排 动 劳 洁 整 容 通 畅 路 道 序 有 存 备 设 、 料 材 理 合 置 布 场 现 ”。 板 样 全 “安 建 创 , 求 要 范 规 的 地 工 施 明 文 于 关 市 州 兰 照 按 格 严 This is comrade XI Jinping a s party Ge neral Secretary a nd a dhere t o strictly admi nistering t he party, strengthen the party's major de cision is i n line wit h the publ ic expe ctations and strengt heni ng the construction of learni ng-oriente d service i nnovation of Marxist party's major depl oyment, is t he important measure t o advance the great caus e of socialism wit h Chi nes e characteristi cs. First, carry out t he party's mas s line i n educati on pra ctice, w as carryi ng 18 of the party spirit, summon a powerful force for reali zing the great rej uvenation of the Chi nese nation t he Chine se dream of urge nt nee ds. Party's 18 to pr omote strategic depl oyment to buil ding s oci alism with Chi nese characteri stics , prese nts two 1 00-year g oal, namel y, by 2 020 China' s gross domesti c pr oduct and per capita i ncome of urba n and rural resi dents i n 201 0 on the basi s of doubl e com plete the buil ding of a well-off society; t he middle of this cent ury into a pros perous, democratic, civ ilized a nd harmoni ous Socialist modern country, a nd on thi s bas is, the Chi nese dream of realizing t he great rejuve nation of the Chine se nati on. 18 Congres s of the part y, Comrade XI Jinping repe atedly expounde d the Chi nese dre am. The basi c connotation of the Chine se dream, is t he

national prosperit y, nati onal revitalizati on, t he ha ppi nes s of the pe opl e, China important to foll ow is to kee p China Roa d, carry forwar d the s pirit and cohesi on stre ng th of China , dream dreams of the pe opl e of Chi na, but determi ned confidence, e nha nce s elf -aware ness, a chi eve self-relia nce, to bui ld a stronger Chi na, civi lization, harm ony, bea uty, China , Chi na, China.

Strategic conce ption of China wa s 18 the spirit of the e nrichment a nd development of the party, conscie ntiously st udy the Chi nese dream, leadi ng pe ople t o hard t o realize the Chi nese dream, mass e ducation a ctivities i n depth t he fundamental starti ng point and ending poi nt. Strengthe n the e ducation of the party's mas s line , hel ps to train t he collective consci ousne ss of the unity of the party and the people, playi ng the Chine se dream i deol ogical base s. Comrade Ma o Zedong stress ed that parties s hould have "com mon lang uage" socialist countries must have "unit y of will". History ha s

2

confere nces , learne d superi ors policie s; reports, you ca n learn t o deal wit h problems, art, j ust wante d to lear n, to lear n at any time. To continuously expa nd the scope of the study. T he complexity and comprehensive nes s of our w ork, deci ded to not only do we want to be "profes sionals", or if "general ists", to dabble i n different areas of knowle dge. Mastery of knowle dge not only t o have knowle dge to rational analys is. T his on requirements w e, not only to le arning national of route , and approach, a nd policy, als o to lear ning national of legal, and regulati ons ; not only to wit h political t heory armed mind, al so to wit h economic the ory gui de work ; not only to rea d hist ory, al so to rea d hist ory; not only to a bs orpti on SM of mirror, also t o gets is of roa d; not only t o from local lear n, als o to to outsi de learn; not only to t o books lear n, als o to field st udy lear n. Therefore, I would e ncourage you, and more to the out side w orld w hen I have time to take a look at, take a stroll, outside devel opme nts, learn other pe ople' s devel opme nt appr oach, and the n come ba ck to gui de our work. Se cond, we m ust think . "Learni ng without t houg ht to overs hadow, thinki ng without lear ning i s peril ous." We want to foster t he character of adva nci ng with t he times, forge ahea d, often refle ct themselve s in ada pting to the new sit uation on whet her there are delays, have anythi ng to fear in the reform and innovati on, w hether i n terms of accelerating t he devel opme nt of a relaxation, kee p promi sing State of mind. In order to do inve stigations, investigations is t he roa d to heave n, G od di sposes of the ba se. To wants t o real hear d truth, a nd j ustice to truth, a nd get trut h, received effectivene ss, on must i n-dept h act ual, and outreach, and in -de pth mas ses, w orshi p masse s for Division, and masse s heart, wit h masse s with discuss ion everyone care of pr oblem, li steni ng they of call s, understa nd they of mood, feel they of suffering, summary they of experi ence, concentrated t hey of wisdom, es peci ally on mas ses most hope, and most urge nt, and most worrie s, and most complai ned of hot, a nd difficulties a nd focus problem, more to a ctive research, ca ught not put. Dare to i nnovate, i n our work, often remain "the old way does n't work, the new a ppr oach would not" situati on, the reason, the key is t hat many pe ople know that copyi ng other people's i deas, m e cha nica lly, using someone el se's ol d ways. To cha nge this predicament, requires us to bre ak the s hackle s of traditional concepts t o overcome cons ervative, conformist, good at findi ng ne w problems a nd to a cce pt new t hings , summarize new experi ence, ne w ideas , devel opi ng new programmes and Maveri ck, a new a ppr oach to s olve problems, spee d up devel opme nt. Es pecial ly in impleme nt superior poli cy spir it of process i n the, both im plementation, a nd ca nnot mechani cally, t o to extraordi nary of courage and devel op e nterpri sing of s pirit, put flexibility and principl e com bine d up, put superior of spirit and local reality combine d up, Yong cons piracy to breakthrough of poli cy, a nd exerci se innovation of lift, develope d out development w orks of, and gras s-r oots wel come s of, and

同学观察得出了下面四条信息:(1)b -4ac>0;(2)c>1;(3)2a-b<0;(4)a+b+c<0.你认 为其中错误 的有( ) .. A.2 个 B.3 个 C.4 个 D.1 个

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图 X3-4-7

图 X3-4-8

15.(2011 年安徽芜湖)二次函数 y =ax +bx+c 的图象如图 X3-4-8 所示,则反比例 函数 y= 与一次函数 y=bx+c 在同一坐标系中的大致图象是(

2

a x

)

A

B

C

D

16.某商场购进一种单价为 40 元的篮球,如果以单价 50 元出售,那么每月可售出 500 个,根据销售经验,售价每提高 1 元,销售量相应减少 10 个. (1)假设销售单价提高 x 元,那么销售每个篮球所获得的利润是__________元;这种篮 球每月的销售量是__________个;(用含 x 的代数式表示) (2)8 000 元是否为每月销售这种篮球的最大利润?如果是,请说明理由;如果不是, 请求出最大利润,并求出此时篮球的售价应定为多少元.

Accor ding to Office Party of mass line education pra ctice a ctivities le d group of unifie d arrangement s, units main le d to for cadre s workers S hang a times party lecture , due to himse lf level limited, only put thi s stage concentrated lear ning of experience today and everyone common wit h learni ng excha nge, purpose is let we furt her de ep understanding mass li ne of connotation, insisted party of mass line, do masses w ork, following main from four a a spe cts tol d: a, a nd full aware nes s party of mass line education pra ctice a ctivities of major mea ning Party's 18 major distinct proposed to focus on the party's a dvanced nature and purity, i n the party, with "pragmati c and clea n for the pe opl e" as the main content of the party's mass line and educational pra ctice . 准 标 收 验 到 达 中 程 过 在 措 染 污 尘 扬 制 控 与 护 保 境 环 效 取 采 排 动 劳 洁 整 容 通 畅 路 道 序 有 存 备 设 、 料 材 理 合 置 布 场 现 ”。 板 样 全 “安 建 创 , 求 要 范 规 的 地 工 施 明 文 于 关 市 州 兰 照 按 格 严

This is comrade XI Jinping a s party Ge neral Secretary a nd a dhere t o strictly admi nistering t he party, strengthen the party's major de cision is i n line wit h the publ ic expe ctations and strengt heni ng the construction of learni ng-oriente d

service i nnovation of Marxist party's major depl oyment, is t he important measure t o advance the great caus e of socialism wit h Chi nes e characteristi cs. First, carry out t he party's mas s line i n educati on pra ctice, w as carryi ng 18 of the party spirit, summon a powerful force for reali zing the great rej uvenation of the Chi nese nation t he Chine se dream of urge nt nee ds. Party's 18 to pr omote strategic depl oyment to buil ding s oci alism with Chi nese characteri stics , prese nts two 1 00-year g oal, namel y, by 2 020 China' s gross domesti c pr oduct and per capita i ncome of urba n and rural resi dents i n 201 0 on the basi s of doubl e com plete the buil ding of a well-off society; t he middle of this cent ury into a pros perous, democratic, civ ilized a nd harmoni ous Socialist modern cou ntry, a nd on thi s bas is, the Chi nese dream of realizing t he great rejuve nation of the Chine se nati on. 18 Congres s of the part y, Comrade XI Jinping repe atedly expounde d the Chi nese dre am. The basi c connotation of the Chine se dream, is t he

national prosperit y, nati onal revitalizati on, t he ha ppi nes s of the pe opl e, China important to foll ow is to kee p China Roa d, carry forwar d the s pirit and cohesi on stre ngth of China , dream dreams of the pe opl e of Chi na, but determi ned confidence, e nha nce s elf -aware ness, a chi eve self-relia nce, to bui ld a stronger Chi na, civi lization, harm ony, bea uty, China , Chi na, China.

Strategic conce ption of China wa s 18 the spirit of the e nrichment a nd development of the party, conscie ntiously st udy the Chi nese dream, leadi ng pe ople t o hard t o realize the Chi nese dream, mass e ducation a ctivities i n depth t he fundamental starti ng point and ending poi nt. Strengt he n the e ducation of the party's mas s line , hel ps to train t he collective consci ousne ss of the unity of the party and the people, playi ng the Chine se dream i deol ogical base s. Comrade Ma o Zedong stress ed that parties s hould have "com mon lang uage" socialist countries must have "unity of will". History ha s

3

confere nces , learne d superi ors policie s; reports, you ca n learn t o deal wit h problems, art, j ust wante d to lear n, to lear n at any time. To continuously expa nd the scope of the study. T he complexity and comprehensive nes s of our w ork, deci ded to not only do we want to be "profes sionals", or if "generalists", to dabble i n different areas of knowle dge. Mastery of knowle dge not only t o have knowle dge to rational analys is. T his on requirements w e, not only to le arning national of route , and approach, a nd policy, als o to lear ning national of legal, and regulati ons ; not only to wit h political t heory armed mind, al so to wit h economic the ory gui de work ; not only to rea d hist ory, al so to rea d hist ory; not only to a bs orpti on SM of mirror, also t o gets is of roa d; not only t o from local lear n, als o to to outsi de learn; not only to t o books lear n, als o to field st udy l ear n. Therefore, I would e ncourage you, and more to the out side w orld w hen I have time to take a look at, take a stroll, outsid e devel opme nts, learn other pe ople' s devel opme nt appr oach, and the n come ba ck to gui de our work. Se cond, we m ust think . "Learni ng without t houg ht to overs hadow, thinki ng without lear ning i s peril ous." We want to foster t he character of adva nci ng with t he t imes, forge ahea d, often refle ct themselve s in ada pting to the new sit uation on whet her there are delays, have anythi ng to fear in the reform and innovati on, w hether i n terms of accelerating t he devel opme nt of a relaxation, kee p promi sing State of mind. In order to do inve stigations, investigations is t he roa d to heave n, G od di sposes of the ba se. To wants t o real hear d truth, a nd j ustice to truth, a nd get trut h, received effectivene ss, on must i n-dept h act ual, and outreach, and in -de pth mas ses, w orshi p masse s for Division, and masse s heart, wit h masse s with discuss ion everyone care of pr oblem, li steni ng they of call s, understa nd they of mood, feel they of suffering, summary they of experi ence, concentrated t hey of wisdom, es peci ally on mas ses most hope, and most urge nt, and most worrie s, and most complai ned of hot, a nd difficulties a nd focus problem, more to a ctive research, ca ught not put. Dare to i nnovate, i n our work, often remain "the old way does n't work, the new a ppr oach would not" situati on, the reason, the key is t hat many pe ople know that copyi ng other people's i deas, me cha nica lly, using someone el se's ol d ways. To cha nge this predicament, requires us to bre ak the s hackle s of traditional concepts t o overcome cons ervative, conformist, good at findi ng ne w problems a nd to a cce pt new t hings , summarize new experi ence, ne w ideas , devel opi ng new programmes and Maveri ck, a new a ppr oach to s olve problems, spee d up devel opme nt. Es pecial ly in impleme nt superior poli cy spir it of process i n the, both im plementation, a nd ca nnot mechani cally, t o to extraordi nary of courage and devel op e nterpri sing of s pirit, put flexibility and principl e com bine d up, put superior of spirit and local reality combine d up, Yong cons piracy to breakthrough of poli cy, a nd exerci se innovatio n of lift, develope d out development w orks of, and gras s-r oots wel come s of, and

C 级 拔尖题 2 17.(2012 年山东济南)如图 X3-4-10,抛物线 y=ax +bx+3 与 x 轴相交于点 A(- 3,0),B(-1,0),与 y 轴相 交于点 C,⊙O1 为△ABC 的外接圆,交抛物线于另一点 D. (1)求抛物线的解析式; (2)求 cos∠CAB 的值和⊙O1 的半径; (3)如图 X3-4-11,抛物线的顶点为 P,连接 BP,CP,BD,M 为弦 BD 中点,若点 N 在 坐标平面内,满足△BMN∽△BPC,请直接写出所 有符合条件的点 N 的坐标.

图 X3-4-10

图 X3-4-11

18.(2012 年广东肇庆)已知二次函数 y=mx +nx+p 图象的顶点横坐标是 2,与 x 轴交 于 A(x1,0),B(x2,0),x1<0<x2,与 y 轴交于点 C,O 为坐标原点,tan∠CAO-tan∠CBO=1. (1)求证:n+4m=0; (2)求 m,n 的值; (3)当 p>0 且二次函数图象与直线 y=x+3 仅有一个交点时,求二次函数的最大值.

2

Accor ding to Office Party of mass line education pra ctice a ctivities le d group of unifie d arrangement s, units main le d to for cadre s workers S hang a times party lecture , due to himse lf level limited, only put thi s stage concentrated lear ning of experience today and everyone common wit h learni ng excha nge, purpose is let we furt her de ep understanding mass li ne of connotation, insisted party of mass line, do masses w ork, following main from four a a spe cts tol d: a, a nd full aware nes s party of mass line educatio n pra ctice a ctivities of major mea ning Party's 18 major distinct proposed to focus on the party's a dvanced nature and purity, i n t he party, with "pragmati c and clea n for the pe opl e" as the main content of the party's mass line and educational pra ctice . 准 标 收 验 到 达 中 程 过 在 措 染 污 尘 扬 制 控 与 护 保 境 环 效 取 采 排 动 劳 洁 整 容 通 畅 路 道 序 有 存 备 设 、 料 材 理 合 置 布 场 现 ”。 板 样 全 “安 建 创 , 求 要 范 规 的 地 工 施 明 文 于 关 市 州 兰 照 按 格 严

This is comrade XI Jinping a s party Ge neral Secretary a nd a dhere t o strictly admi nistering t he party, strengthen the party's major de cision is i n line wit h the publ ic expe ctations and strengt heni ng the construction of learni ng-oriente d

service i nnovation of Marxist party's major depl oyment, is t he important measure t o advance the great caus e of socialism wit h Chi nes e characteristi cs. First, carry out t he party's mas s line i n educati on pra ctice, w as carryi ng 18 of the party spirit, summon a powerful force for reali zing the great rej uvenation of the Chi nese nation t he Chine se dream of urge nt nee ds. Party's 18 to pr omote strategic depl oyment to buil ding s oci alism with Chi nese characteri stics , prese nts two 1 00-year g oal, namel y, by 2 020 China' s gross domesti c pr oduct and per capita i ncome of urba n and rural resi dents i n 201 0 on the basi s of doubl e com plete the buil ding of a well-off society; t he middle of this cent ury into a pros perous, democratic, civ ilized a nd harmoni ous Socialist modern country, a nd on thi s bas is, the Chi nese dream of realizing t he great rejuve nation of the Chine se nati on. 18 Congres s of the part y, Comrade XI Jinping repe atedly expounde d the Chi nese dre am. The basi c connotation of the Chine se dream, is t he

national prosperit y, nati onal revitalizati on, t he ha ppi nes s of the pe opl e, China important to foll ow is to kee p China Roa d, carry forwar d the s pirit and cohesi on stre ng th of China , dream dreams of the pe opl e of Chi na, but determi ned confidence, e nha nce s elf -aware ness, a chi eve self-relia nce, to bui ld a stronger Chi na, civi lization, harm ony, bea uty, China , Chi na, China.

Strategic conce ption of China wa s 18 the spirit of the e nrichment a nd development of the party, conscie ntiously st udy the Chi nese dream, leadi ng pe ople t o hard t o realize the Chi nese dream, mass e ducation a ctivities i n depth t he fundamental starti ng point and ending poi nt. Strengthe n the e ducation of the party's mas s line , hel ps to train t he collective consci ousne ss of the unity of the party and the people, playi ng the Chine se dream i deol ogical base s. Comrade Ma o Zedong stress ed that parties s hould have "com mon lang uage" socialist countries must have "unit y of will". History ha s

4

confere nces , learne d superi ors policie s; reports, you ca n learn t o deal wit h problems, art, j ust wante d to lear n, to lear n at any time. To continuously expa nd the scope of the study. T he complexity and comprehensive nes s of our w ork, deci ded to not only do we want to be "profes sionals", or if "general ists", to dabble i n different areas of knowle dge. Mastery of knowle dge not only t o have knowle dge to rational analys is. T his on requirements w e, not only to le arning national of route , and approach, a nd policy, als o to lear ning national of legal, and regulati ons ; not only to wit h political t heory armed mind, al so to wit h economic the ory gui de work ; not only to rea d hist ory, al so to rea d hist ory; not only to a bs orpti on SM of mirror, also t o gets is of roa d; not only t o from local lear n, als o to to outsi de learn; not only to t o books lear n, als o to field st udy lear n. Therefore, I would e ncourage you, and more to the out side w orld w hen I have time to take a look at, take a stroll, outside devel opme nts, learn other pe ople' s devel opme nt appr oach, and the n come ba ck to gui de our work. Se cond, we m ust think . "Learni ng without t houg ht to overs hadow, thinki ng without lear ning i s peril ous." We want to foster t he character of adva nci ng with t he times, forge ahea d, often refle ct themselve s in ada pting to the new sit uation on whet her there are delays, have anythi ng to fear in the reform and innovati on, w hether i n terms of accelerating t he devel opme nt of a relaxation, kee p promi sing State of mind. In order to do inve stigations, investigations is t he roa d to heave n, G od di sposes of the ba se. To wants t o real hear d truth, a nd j ustice to truth, a nd get trut h, received effectivene ss, on must i n-dept h act ual, and outreach, and in -de pth mas ses, w orshi p masse s for Division, and masse s heart, wit h masse s with discuss ion everyone care of pr oblem, li steni ng they of call s, understa nd they of mood, feel they of suffering, summary they of experi ence, concentrated t hey of wisdom, es peci ally on mas ses most hope, and most urge nt, and most worrie s, and most complai ned of hot, a nd difficulties a nd focus problem, more to a ctive research, ca ught not put. Dare to i nnovate, i n our work, often remain "the old way does n't work, the new a ppr oach would not" situati on, the reason, the key is t hat many pe ople know that copyi ng other people's i deas, m e cha nica lly, using someone el se's ol d ways. To cha nge this predicament, requires us to bre ak the s hackle s of traditional concepts t o overcome cons ervative, conformist, good at findi ng ne w problems a nd to a cce pt new t hings , summarize new experi ence, ne w ideas , devel opi ng new programmes and Maveri ck, a new a ppr oach to s olve problems, spee d up devel opme nt. Es pecial ly in impleme nt superior poli cy spir it of process i n the, both im plementation, a nd ca nnot mechani cally, t o to extraordi nary of courage and devel op e nterpri sing of s pirit, put flexibility and principl e com bine d up, put superior of spirit and local reality combine d up, Yong cons piracy to breakthrough of poli cy, a nd exerci se innovation of lift, develope d out development w orks of, and gras s-r oots wel come s of, and

选做题 2 19.(2012 年浙江温州)如图 X3-4-12,经过原点的抛物线 y=-x +2mx(m>0)与 x 轴 的另一个交点为 A.过点 P(1, m)作直线 PM⊥x 轴于点 M, 交抛物线于点 B.记点 B 关于抛物线 对称轴的对称点为 C(B,C 不重合).连结 CB,CP. (1)当 m=3 时,求点 A 的坐标及 BC 的长; (2)当 m>1 时,连结 CA,问 m 为何值时 CA⊥CP? (3)过点 P 作 PE⊥PC 且 PE=PC,问是否存在 m,使得点 E 落在坐标轴上?若存在,求出 所有满足要求的 m 的值,并写出相对应的点 E 坐标;若不存在,请说明理由.

图 X3-4-12

3 2 3 20.(2012 年广东广州)如图 X3-4-13,抛物线 y=- x - x+3 与 x 轴交于 A,B 两 8 4 点(点 A 在点 B 的左侧),与 y 轴交于点 C. (1)求点 A,B 的坐标; (2)设 D 为已知抛物线的对称轴上的任意一点, 当△ACD 的面积等于△ACB 的面积时, 求 点 D 的坐标; (3)若直线 l 过点 E(4,0),M 为直线 l 上的动点,当以 A,B,M 为顶点所 作的直角三角 形有且只有三个时,求直线 l 的解析式.

图 X3-4-13

Accor ding to Office Party of mass line education pra ctice a ctivities le d group of unifie d arrangement s, units main le d to for cadre s workers S hang a times party lecture , due to himse lf level limited, only put thi s stage concentrated lear ning of experience today and everyone common wit h learni ng excha nge, purpose is let we furt her de ep understanding mass li ne of connotation, insisted party of mass line, do masses w ork, following main from four a a spe cts tol d: a, a nd full aware nes s party of mass line education pra ctice a ctivities of major mea ning Party's 18 major distinct proposed to focus on the party's a dvanced nature and purity, i n the party, with "pragmati c and clea n for the pe opl e" as the main content of the party's mass line and educational pra ctice . 准 标 收 验 到 达 中 程 过 在 措 染 污 尘 扬 制 控 与 护 保 境 环 效 取 采 排 动 劳 洁 整 容 通 畅 路 道 序 有 存 备 设 、 料 材 理 合 置 布 场 现 ”。 板 样 全 “安 建 创 , 求 要 范 规 的 地 工 施 明 文 于 关 市 州 兰 照 按 格 严

This is comrade XI Jinping a s party Ge neral Secretary a nd a dhere t o strictly admi nistering t he party, strengthen the party's major de cision is i n line wit h the publ ic expe ctations and strengt heni ng the construction of learni ng-oriente d

service i nnovation of Marxist party's major depl oyment, is t he important measure t o advance the great caus e of socialism wit h Chi nes e characteristi cs. First, carry out t he party's mas s line i n educati on pra ctice, w as carryi ng 18 of the party spirit, summon a powerful force for reali zing the great rej uvenation of the Chi nese nation t he Chine se dream of urge nt nee ds. Party's 18 to pr omote strategic depl oyment to buil ding s oci alism with Chi nese characteri stics , prese nts two 1 00-year g oal, namel y, by 2 020 China' s gross domesti c pr oduct and per capita i ncome of urba n and rural resi dents i n 201 0 on the basi s of doubl e com plete the buil ding of a well-off society; t he middle of this cent ury into a pros perous, democratic, civ ilized a nd harmoni ous Socialist modern cou ntry, a nd on thi s bas is, the Chi nese dream of realizing t he great rejuve nation of the Chine se nati on. 18 Congres s of the part y, Comrade XI Jinping repe atedly expounde d the Chi nese dre am. The basi c connotation of the Chine se dream, is t he

national prosperit y, nati onal revitalizati on, t he ha ppi nes s of the pe opl e, China important to foll ow is to kee p China Roa d, carry forwar d the s pirit and cohesi on stre ngth of China , dream dreams of the pe opl e of Chi na, but determi ned confidence, e nha nce s elf -aware ness, a chi eve self-relia nce, to bui ld a stronger Chi na, civi lization, harm ony, bea uty, China , Chi na, China.

Strategic conce ption of China wa s 18 the spirit of the e nrichment a nd development of the party, conscie ntiously st udy the Chi nese dream, leadi ng pe ople t o hard t o realize the Chi nese dream, mass e ducation a ctivities i n depth t he fundamental starti ng point and ending poi nt. Strengt he n the e ducation of the party's mas s line , hel ps to train t he collective consci ousne ss of the unity of the party and the people, playi ng the Chine se dream i deol ogical base s. Comrade Ma o Zedong stress ed that parties s hould have "com mon lang uage" socialist countries must have "unity of will". History ha s

5



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