成都实验外国语2012年直升试题(题卷)答案ding
2012年成都市中考英语试题及答案(word原版)

四川省成都市2012年中考英语试题A卷(共100分)A卷I(选择题,共85分)第一部分听力部分(共25小题,计25分)一、听句子,根据所听到的内容选择正确答案。
每小题念两遍。
(共6小题,每小题l分;计6分)1.A.That's OK. B.I’m fine,thanks C.How’s it goin g? Frank?2.A.I'm fifteen years old.B.Happy New Year!C.I was born on June 5,1997.3.A.Thank you!B.You are right.C.No,I don’t ca re.4.A.That’s wonderful.B.Sorry,I won’t,C.You are welcome.5.A.It’s my pleasure. B。
Have a good trip.C.It doesn't matter 6.A.Sure,I'd love to.B.Oh.I can’t say it.C.Sure,I dislike it.二、听句子.选择与所听句子内容相符的圈片,并将代表图片的字母填在答题卡的相应位置. 每小题念两遍.(共4小题,每小题l分;计4分)7.8.9. l0.三、听对话,根据对话内容及问题选择正确答案。
每小题念两遍。
(共l0小题,每小题l分;计10分)11。
A. America. B。
Canada. C. Australia.12。
A. At his home, B. At the school. C. In a hospital.13. A。
He doesn't mind them。
B。
He can't stand them. C。
He is interested in them. 14。
A. Anna. B. Anna's father。
C。
成都市实验外国语学校(西区)高2015级12年9月24日月考

成都市实验外国语学校(西区)高2015级12年9月月考物理试题(考试时间90分钟,总分100分)命题及审核:实外高一物理备课组I 卷(60分)请将答案写在答题........卷.上.一、选择题(本题共12小题。
只有一个选项正确,每小题3分,共36分)1.在研究下述运动时,能把物体看作质点的是( )A. 在空中做翻腾运动的体操运动员B. 研究自行车车轮的旋转C. 研究火车从南京到上海运行需要的时间D. 研究一列火车通过长江大桥所需的时间2.以下数据中记录时刻的是( )A. 完成数学作业只需要1hB. 实外西区一节课是40minC. 期末复习时间只有5天D. 会议从9:00开始3.下述说法正确的是( )A. 加速度增大,速度一定增大B. 速度改变量越大,加速度越大C. 速度改变越快,加速度越大D. 质点有加速度,速度就增加4.关于位移和路程,下列说法中正确的是( ) A .质点的位移等于零,说明物体没有运动 B .质点做直线运动,通过的路程就是位移C .质点通过一段位移后,它通过的路程可能为零D .质点通过的路程不同,但位移可以相同5.为了使公路交通有序安全,路旁立了许多交通标志,如图所示,甲图是限速标志,表示允许行驶的最大速度是80km/h ;乙图是路线指示标志,此处到青岛还有150km 。
上述两个数据表达的物理意义是 ( )A .80km /h 是平均速度,150km 是位移B .80km /h 是瞬时速度,150km 是路程C .80km /h 是瞬时速度,150km 是位移D .80km /h 是平均速度,150km 是路程 6.2006年我国自行研制的“枭龙”战机在四川某地试飞成功。
假设该战机起飞前从静止开始做匀加速直线运动,达到起飞速度v 所需时间t ,则起飞前的运动距离为:( )A.vtB.2vtC.2vtD.不能确定7.将地面上静止的货物竖直向上吊起,货物由地面运动至最高点的过程中,其V ——t 图像如图所示。
2023年四川省成都实验外国语学校直升数学试卷

数学试题(满分150分,120分钟完成)A 卷(共100分)一、选择题(本大题共8个小题,每小题4分,共32分,每小题均有4个选项,其中只有一项符合题目要求,答案涂在答题卡上)1.﹣5的倒数是()A .15B .15C .﹣5D .52.成都马拉松是一个传统的长跑赛事,2022年的成都马拉松于11月20日举行,共吸引了3万名左右长跑爱好者前来参赛,成都人民向世界展示了爱运动的良好风貌.将数据3万用科学记数法表示为()A .6310 B .5310 C .4310 D .33103.如图,AB ∥CD ,∠B =75°,∠E =27°,则∠D 的度数为()A .45°B .48°C .50°D .58°4.下列计算正确的是()A .224a a a B .236•a a aC .2(2)(2)4a a a D . 2211a a 5.我市4月份日平均气温统计如图所示,则在日平均气温这组数据中,众数和中位数分别是()A .21,21B .21,22C .21,21.5D .22,226.如图, ABCD 的对角线AC 与BD 相交于点O ,AB ⊥AC ,若AB =4,AC =6,则BD 的长是()A .10B .9C .8D .77.如图,正六边形ABCDEF 内接于周长等于4π的⊙O ,则这个正六边形的边心距OM和 BC 的长为()A 23B .,πC .2,23D .,438.抛物线y =ax 2+bx +c 上部分点的横坐标x ,纵坐标y 的对应值如右表,下列结论不正确的是()A .抛物线的开口向下B .抛物线的对称轴为直线x =12C .函数y =ax 2+bx +c 的最大值为254D .抛物线与x 轴的一个交点坐标为(2,0)二、填空题(本大题共4个小题,每小题4分,共20分)9.分解因式:29mn m =________.10.x 的取值范围是________.11.如图,△ABC 与△DEF 位似,点O 为位似中心,OD =2OA ,BC =3,则EF =________.12.关于x 的一元二次方程2210kx x 有实数根,若k 为非负整数,则k =________.13.如图,在△ABC 中,按以下步骤作图:①分别以B ,C 为圆心,以大于12BC 的长为半径作弧,两弧相交于M ,N 两点;②作直线MN 交AB 于点D ,连接CD .若CD =AC ,∠B =25°,则∠ACB 的度数为________.三、解答题(本大题共6个小题,共48分)14.(本小题满分12分,每题6分)(1)计算:201(2cos30(3)2 .(2)化简:222211(1121a a a a a a .15.(本小题满分8分)聚焦“双减”政策落地,凸显寒假作业特色.今年寒假我区某学校评选出的寒假优质特色作业共分为四类:A (节日文化篇),B (安全防疫篇),C (劳动实践篇),D (体育运动篇).下面是根据统计结果绘制的两幅不完整的统计图.(1)本次统计的总份数为_______份,条形统计图中B 类为_______份;(2)扇形统计图中B 类所对应的圆心角度数为_______°;(3)本次寒假作业A 类优质特色作业中1班共有四人获评优秀,其中一名男生,三名女生,从这四人中随机抽选两人进行交流,请利用画树状图或列表的方法,求恰好抽到两名性别相同的学生的概率.16.(本小题满分8分)如图,某座山AB 的顶部有一座通讯塔BC ,且点A ,B ,C 在同一条直线上.从地面P 处测得塔顶C 的仰角为42°,测得塔底B 的仰角为35°.已知通讯塔BC 的高度为32m ,求这座山AB 的高度(参考数据:tan35°≈0.70,tan42°≈0.90).17.(本小题满分10分)如图,AB 为⊙O 的直径,D 为⊙O 上一点,连接AD ,BD ,C 为AB 延长线上一点,连接CD ,且∠BDC =∠A .(1)求证:CD 是⊙O 的切线;(2)若⊙O 的半径为2,BC =1,①求△ABD 的面积;②点E 为⊙O 上一点,连接DE 交半径OB 于点F ,若EA =EF ,求DF FE 的长.18.(本小题满分10分)在平面直角坐标系中,直线l :y kx b 经过双曲线3y x的图象上点A (1,a ),与双曲线交于另一点B .(1)如图1,当1k 时,①求B 点坐标;②连接AO 并延长交双曲线于点C ,AD 平分∠OAB ,若CE ⊥AD 于点E ,求点E 的坐标;(2)如图2,若直线AB 分别交双曲线于第一、三象限,点B 关于原点的对称点为点P ,连接BP ,AP ,若 533AP k(3k ),求k 的值.图1图2B 卷(共50分)一、填空题(每小题4分,共20分)19.已知 、 是方程2202210x x 的两个根,则22021 ________.20.在不透明的袋子中装有杭州亚运会吉祥物“琮琮”“宸宸”和“莲莲”的纪念卡片共14张,每张卡片除吉祥物外其他完全相同,从中任意拿出一张,拿到“琮琮”纪念卡片的概率和拿到“莲莲”纪念卡片的概率相同,且“宸宸”纪念卡片比“琮琮”纪念卡片多2张,那么袋子中“琮琮”纪念卡片的张数是________.21.如图1,将矩形ABCD 纸片沿对角线AC 折叠,点D 的对应点为点E ,线段CE 交线段AB 于点F ,再将FEA △沿FA 折叠,点E 的对应点为点G ,如图2所示,连接BG 交AC 于点H .若EFA =45°,且AH =,则BG 的长度为________.22.在平面直角坐标系xOy 中,我们定义对于点 ,P m n 和点 ,P m n 两点,若040n m n n m,则称点 ,P m n 是点 ,P m n 的“衍化点”,例如:点 11,2P 的“衍化点”是 11,2P ,点 22,1P 的“衍化点”是 22,1P ,若点 ,P m n 在二次函数241y x x 的图象上,当点P 的“衍化点”P 的纵坐标2n 时,则m 的值为________.23.如图,在Rt △ABC 中,∠ACB =90°,点P 是BC 边上的动点,过点P 作PD AB 于点D ,延长DP 交AC 延长线于点E ,连接BE 交AP 延长线于F ,过点F 作FG BC ∥交AB 延长线于点G ,若6AB ,1tan 2CEP,则BG 的最大值为________.二、解答题(共30分)24.(本小题满分8分)麦收时节,为确保小麦颗粒归仓,某农场安排A ,B 两种型号的收割机进行小麦收割作业.已知一台A 型收割机比一台B 型收割机平均每天多收割2公顷小麦,一台A 型收割机收割15公顷小麦所用时间与一台B 型收割机收割9公顷小麦所用时间相同.(1)一台A 型收割机和一台B 型收割机平均每天各收割小麦多少公顷?(2)该农场安排两种型号的收割机共12台同时进行小麦收割作业,为确保每天完成不少于50公顷的小麦收割任务,至少要安排多少台A 型收割机?25.(本小题满分10分)如图,抛物线y =ax 2+bx +3(a ≠0)与y 轴交于点C ,与x 轴交于A 0),B 两点(点A 在点B 的右侧),连接BC ,过点A 作AD ∥BC 交y 轴于点D ,且OB =3OA .(1)求抛物线的解析式;(2)如图1,点E 为射线AD 上一点,点P 为第二象限内抛物线上的点,连接PB ,PC ,若12PCB CBE S S △△,求点P 的坐标;(3)如图2,若(1)中的抛物线顶点为M ,不经过点M 的直线l 与抛物线交于N ,Q 两点,连接NM ,QM ,若90NMQ ,请判断直线l 是否经过定点?若是,求出该定点坐标,若不是,说明理由.。
四川省成都外国语学校2012届高三第六次月考数学(文)试题

试题分第I卷和第Ⅱ卷两部分。
满分150分,考试时间120 分钟。
注意事项:1.答题前,务必将自己的姓名、考号准确无误地填写、填涂在答题卡规定的位置上; 2.答选择题时,必须使用2B 铅笔将答题卡上对应题目的答案标号涂黑。
如需改动,用橡皮擦干净后,再选涂其它答案标号;3.答题时,必须使用黑色签字笔,将答案规范、整洁地书写在答题卡规定的位置上; 4.所有题目必须在答题卡上作答,在试题卷上答题无效; 5.考试结束后将答题卡交回,不得折叠、损毁答题卡。
第I卷一、 选择题(本大题共12小题,每小题5分,共60分,每小题只有一项是符合要求)1.函数)21()21()(≤<=x x f x 的反函数为=-)(1x fA .)21(log 21≤<x x B .)42(log 21≤<x xC .)2141(log 2<≤-x xD .)121(log 2<≤-x x2.设全集是实数集R ,{}{}0,037222<+=≤+-=a x x B x x x A ,若B B A C R = )(,则实数a 的取AB C D 3A .∠∠若sinA=sinB ,则A=B B .1a b1若a>b,且ab>0,则〈C .01x ==2若lgx ,则 D .若2b ac =,则a 、b 、c 成等比数列4.若)2sin()tan()2cos()sin(απαπαπαπ+---=33-,且()πα,0∈,则)4tan(πα+等于 A .223-- B . 223+- C .22- D .22+ 5.如果数列1a ,21aa ,32a a ,…,1n n a a -,…是首项为1,公比为5a 等于A .32B .64C .32-D .64-6.给出下面四个命题: ①过平面外一点,作与该平面成θ角的直线一定有无穷多条 ②一条直线与两个相交平面都平行,则它必与这两个平面的交线平行 ③对确定的两异面直线,过空间任一点有且只有一个平面与两异面直线都平行 ④对两条异面直线都存在无数多个平面与这两条直线所成的角相等 其中正确的命题有A .1B .2C .3D .47.定义两种运算:22b a b a -=⊕,2)(b a b a -=⊗,则函数2)2(2)(-⊗⊕=x xx f 为A .非奇函数且非偶函数奇函数B .偶函数C .奇函数且为偶函数D .奇函数8.若 △ABC 内接于以O 为圆心,1为半径的圆,且 3450OA OB OC ++=,则OC AB ⋅的值为 A . 15-B .15C . 65-D .659.设m 为实数,若22250(,)30{(,)|25}0x y x y x x y x y mx y ⎧⎫-+≥⎧⎪⎪⎪-≥⊆+≤⎨⎨⎬⎪⎪⎪+≥⎩⎩⎭,则m 的取值范围是A .340≤<mB .34≤mC .340≤≤mD .34≥m10.在我校的一项竞赛活动中,高中三个年级分别有1名、2名、3名学生获奖, 这6名学生排成一排合影,要求同年级任意两名学生不能相邻,那么不同的排法种数是 A .72种 B .96种 C .120种 D .144种11.图为函数()1)f x x =<<的图象,其在点(())M t f t ,l l y 处的切线为,与轴和直线1=y 分别交于点P 、Q ,点N (0,1),若△PQN 的面积为b 时的点M 恰好有两个,则b 的取值范围为A .⎪⎭⎫⎢⎣⎡2710,41B .⎥⎦⎤⎝⎛2710,21C .⎪⎭⎫ ⎝⎛278,41 D .⎪⎭⎫⎢⎣⎡278,2112.已知21,F F 是双曲线)0(12222b a by a x <<=-的左、右焦点,p 为双曲线左支上一点,若221PF PF 的最小值为a 8,则该双曲线的离心率的取值范围是A. ]2,1(B. ]3,1(C. ]2,2(D. ]3,2(第Ⅱ卷二、填空题:本大题共4小题,每小题4分,共16分,把答案填在答卷的横线上.13.设常数0a >,42ax ⎛+ ⎝展开式中3x 的系数为32,=a 。
成都实验外国语学校初升高直升选试题

成都实验外国语学校初升高直升选试题————————————————————————————————作者:————————————————————————————————日期:成都市实验外国语学校2013年初升高直升考试试题化学试题说明:1.考试时间:90分钟全卷总分:100分2.本次考试试卷共2张8页。
3.可能用到的相对原子质量:H-1;C-12;O-16;Na-23;Mg-24;Al-27;Si-28;K-39;Ca-40;S-32;Fe-56;Cu-64;Zn-65;第Ⅰ卷选择题(共40分)一、单项选择题(本题有8小题,每题2分,共16分)1.PM2.5是指大气中直径小于或等于2.5微米的颗粒物,也叫可入肺颗粒物,与肺癌、哮喘等疾病的发生密切相关,是灰霾天气的主要原因,它主要来自化石燃料的燃烧(如机动车尾气、燃煤)等。
2012年2月,国务院同意发布新修订的《环境空气质量标准》,增加了PM2.5监测指标。
下列与PM2.5相关的说法不正确...的是(D )A.大力发展电动车,减少燃油汽车的尾气排放量B.开发利用各种新能源,减少对化石燃料的依赖C.其颗粒小,在大气中的停留时间长、输送距离远,因而对人体健康影响更大D.是形成沙尘暴天气的主要因素2.2008年9月27日,太空第一次留下了“中国人的脚印”。
我国研制的航天员舱外服为航天员成功进行太空行走提供了可靠的保证。
航天员舱外服内含有与氢氧化钠性质相似的氢氧化锂(LiOH),它不可能具有的化学性质是( C )A.与CO2反应B.与HCl反应C.与Fe2O3反应 D.与CuCl2溶液反应3.下列说法中正确的是(D )①质子数相同的粒子一定属于同种元素;②质子数相同,电子数也相同的粒子,不可能是一种分子和一种离子; ③电子数相同的粒子不一定是同一种元素A.①②B.只有②C.①②③D.②③4.某学生的实验报告中有以下实验数据,其中正确的是( D )A.温度计上显示的度数为25.68摄氏度B.用量筒量取5.29 ml盐酸C.用pH试纸测得溶液的pH是5.4D.用托盘天平称取2.5g锌5.除去下列物质中的杂质(括号内为杂质),选用试剂及操作方法均正确的一组是(C )选项待提纯的物质选用的试剂操作的方法A CaO(CaCO3) 水溶解、过滤、结晶B CuSO4(H2SO4) 氢氧化钠溶液过滤C Cu(CuO) 稀盐酸溶解、过滤、洗涤、干燥D CO2(CO) 氧气点燃6.利用化学实验可以鉴别生活中的一些物质,下表各组物质的鉴别方法不能..将本组待鉴别的物质都区分出来的是 ( D )待鉴别物质鉴别方法A 双氧水、蒸馏水加少量二氧化锰,观察是否有气泡产生B 硬水、软水加肥皂水,搅拌,观察产生泡沫的多少C 棉纤维、羊毛纤维、涤纶闻燃烧产生的气味,观察燃烧情况和灰烬D 氯化钾、硫酸钾、磷矿粉[Ca3(PO4)2]看外观,再加水,观察是否溶于水7.将CO通入盛10g Fe2O3的试管内,加热反应一段时间后,停止加热,继续通入CO至试管冷却,此时试管内残留固体的质量为8.8g,则反应生成铁的质量为( A )A.2.8gB.7gC. 8.8 gD.5.6 g8.一定温度下,硫酸铜受热分解生成CuO、SO2、SO3和O2。
成都铁中2012直升班考试数学试题

2012年数 学(考试时间一、单项选择题:(每小题5分,共50分1.在平面直角坐标系xOy 中,已知点P(2,2),点Q 在y 轴上,△PQO 是等腰三角形,则满足条件的点Q 共有( )A. 5个B. 4个C.3个D. 2个2.⊙O 内有一定点G ,OG =5cm ,⊙O 的半径为13cm ,则过G 点的所有弦中,长度为整数的弦共有( )条.A. 2B. 3C. 4D. 无数 3.如图所示,四边形ABCD 中,DC ∥AB ,BC =1,AB =AC =AD =2.则BD 的长为( )A. 14B. 15C. 32D. 234.口袋中有20个球,其中白球9个,红球5个,黑球6个.现从中任取10个球,使得白球不少于2个,但不多于8个,红球不少于2个,黑球不多于3个,那么上述取法的种数是( ) A. 20 B. 18 C. 16 D. 145.如图,矩形ABCD 的对角线BD 经过坐标原点,矩形的边分别平行于坐标轴,点C 在反比例函数y =xk k 122++的图象上.若点A 的坐标为(-2,-2),则k 的值为( ) A .1B .-3C .4D .1或-36.已知四条直线y =kx -3,y =-1,y =3和x =1所围成的四边形的面积是12,则k 的值为( ) A. 1或-2 B. 2或-1 C. 3 D. 4 7.如图,两正方形彼此相邻且内接于半圆,若小正方形的面积为16cm 2,则该半圆的半径为( )A. (4+5)cmB. 9cmC. 45cmD. 62cm8.已知sin α•cos α=81,且0º<α<45º,则cos α-sin α的值为( )A.23 B. -23 C. 43 D. -439.如图,已知扇形AOB 的半径为12,OA ⊥OB ,C 为OB 上一点,以OA 为直径的半圆O 1;和以BC 为直径的半圆O 2相切于点D ,则图中阴影部分的面积是( )A. 6πB. 10πC. 12πD. 20π10.如果a 和b 为正数,并且方程x 2+ax +2b =0和x 2+2bx +a =0都有实数根,那么a +b 的最小值是( )A. 4B. 5C. 6D. 7 二、填空题:(每小题5分,共40分) 11.若不等式组⎩⎨⎧>->-022x b a x 的解集是-1<x <1,则(a +b)2012= .12.如图,已知A 、B 两点的坐标分别为(23,0)、(0,2),P 是△AOB 外接圆上的一点,且∠AOP =45º,则点P 的坐标为 .13.已知一个半圆形工件,未搬动前如图所示,直径平行于地面放置,搬动时为了保护圆弧部分不受损伤,先将半圆作如图所示的无滑动翻转,使它的直径紧贴地面,再将它沿地面平移50米,半圆的直径为8米,则圆心O 所经过的路线长是 米.14.若对图1中星形截去一个角,如图2,再对图2中的角进一步截去,如图3,则图中的∠A +∠B +∠C+∠D+∠E +∠F +∠G +∠H +∠M +∠N = 度.15.函数y 1=|x|,y 1=31x +34,当y 1>y 2时,x 的范围是 . 16.若实数a 是方程x 2-2012x +1=0的一个解,则代数式a 2-2011a +120122 a 的值为 .17.已知三个非负实数a 、b 、c 满足:3a +2b +c =5和2a +b -3c =1,若m =3a +b -7c ,则m 的最小值为 .18.如图,在平面直角坐标系中,有若干个整数点,其顺序按图中“→”方向排列,如(1,0),(2,0),(2,1),(3,2),(3,1),(3,0),(4,0),…,根据这个规律探索可得,第100个点的坐标为 .三、解答题:(每小题15分,共60分)19.某生姜种植基地计划种植A 、B 两种生姜30亩.已知A 、B 两种生姜的年产量分别为2000千克/亩、2500千克/亩,收购单价分别是8元/千克、7元/千克. (1)若该基地收获两种生姜的年总产量为68000千克,求A 、B 两种生姜各种多少亩?(2)若要求种植A 种生姜的亩数不少于B 种的一半,那么种植A 、B 两种生姜各多少亩时,全部收购该基地生姜的年总收入最多?最多是多少元?20.由直角三角形边角关系,可将三角形面积公式变形,得S △ABC =21bc •sin ∠A ①,即三角形的面积等于两边之长与夹角正弦之积的一半.如图,在△ABC 中,CD ⊥AB 于D ,∠ACD =α,∠DCB =β.∵S △ABC =S △ADC +S △BDC ,由公式①,得21AC •BC •sin(α+β)=21AC •CD •sin α+21BC •CD •sin β,即AC •BC •sin(α+β)=AC •CD •sin α+BC •CD •sin β②.你能利用直角三角形边角关系,消去②中的AC 、BC 、CD 吗?不能,说明理由;能,写出解决过程.21.如图1,在△ABC 中,AB =AC ,∠A =90º,O 为BC 的中点,动点E 、F 分别在边AB 、AC 上,且∠EOF =45º. (1)猜想线段AE 、EF 、CF 之间的数量关系,并证明你的猜想;(2)如图2,若以O 为圆心的圆与AB 相切,试探究直线EF 与⊙O 的位置关系,并证明你的结论.22.如图,抛物线y =ax 2+bx +c 与x 轴交于A 、B 两点(点A 在点B 左侧),与y 轴交于点C ,且当x =0和x =2时,y 的值相等.直线y =3x -7与这条抛物线相交于两点,其中一点的横坐标是4,另一点是这条抛物线的顶点M . (1)求这条抛物线的解析式;(2)P 为线段BM 上一点,过点P 向x 轴引垂线,垂足为Q .若点P 在线段BM 上运动(点P 不与点B 、M 重合),设OQ 的长为t ,四边形PQAC 的面积为S .求S 与t 之间的函数关系式及自变量t 的取值范围;(3)在线段BM 上是否存在点N ,使△NMC 为等腰三角形?若存在,请求出点N 的坐标;若不存在,请说明理由.。
成都外国语学校直升考试题_初三英语_英语_初中教育_教育专区
成都外国语学校直升考试题_初三英语_英语_初中教育_教育专区成都实验外国语学校直升考试题I. Multiple Choice.1. terrible weather we’ve been having these days.A. How aB. What aC. HowD. What 2. I keep medicines on the top shelf, out of the children’s .A. reachB. handC. holdD. place 3. He suddenly saw Sue the room. He pushed his way the crowd of people to get to her.A. across, acrossB. over; throughC. over, intoD. across, through4. Ideally for Broadway theatres and Fifth Avenue, the New York Park hotel is favourite with many guests.A. locatingB. being locatedC. having been locatedD. located. 5. Dogs have a very good of smell and are often used to search for survivors in an earthquake.A. senseB. viewC. meansD. idea 6. I am sure David will be able to find the library,he has a pretty good of direction.A. ideaB. feelingC. experienceD. sense 7. —Wow! I’ve burnt myself!—How did you do that?—I a hot pot.A. touchedB. keptC. feltD. held 8. Please remain until the plane has come to a complete stop.A. to seatB. to be seatedC. seatingD. seated 9. These oranges taste .A. goodB. wellC. to be goodD. to be well10. If by any chance someone comes to see me, ask him to leave a .A. messageB. letterC. sentenceD. notice 11. We the last bus and didn’t have any money for taxi, we had to walk home.A. reachedB. lostC. missedD. caught 12. The traffic lights green and I pulled away.A. cameB. grewC. gotD. went 13. —_____you ______him around the museum yet?— Yes. We had a great time there.A. Have showB. Do showC. Had showD. Did show 14. I can hardly hear the radio. Would you please ?A. turn it onB. turn I downC. turn it upD. turn it off 15. Mike didn’t play football yesterday because he had his leg.A. damagedB. hurtC. hitD. struck 16. —Why didn’t you b uy the camera you had longed for?—I had planned to, but I was ,50 .A. fewerB. lessC. cheapD. short 17. It is really to play computer games. But remember not to play too much. A. funs B. fun C. a fun D. funny1II. Fill in the blanks with the proper forms of the words given.1. The situation is very . All get about it. (worry)2. What us most is that nobody can find out the answer. (disappoint)3. To his , his son shouted at the guests. (embarrass)4. It is very to walk to the mountain carrying a heavy backpack. (tire)5. The movie us deeply. (move)6. Sorry, I forget (tell) you there would be a meeting.7.—Do remember _____ (tell) Tom to feed the bird.—Oh, I totally forgot _____ (buy) him a bird as a present.8.—Johnson, I’m in want of mon ey. Would you please return my money?—I remember ____ (not borrow) any from you.—But I do remember _____ (lend) you a 100-dollar note last Friday.—Yeah, I remember.II. Each of the following sentences has four underlined part labeled A, B, C and D. Identify the part is incorrect.1. Don’t worry. There is nothing much wrong to you .2. Eat the medicine twice a day and take it easy.3. In a few days you’ll be good.4. You need to have your blood checked.5. At present, there’s no effective cure of AIDS.6. The patient was diagnosed for heart trouble.7. The visitor has fallen ill since he came here.8. How long have you caught a cold?9. After operation, he was in the hospital for a fortnight. 10. My grandma keeps on taking exercise and is in a good health.11.The thief stole my pocket in the crowd.12.The robber was put into the prison.13.The foxy guy cheated me from my money.14.The prison is not the only effective way to prevent crimes.15.The eyewitness failed to give enough evidences in court.16. Bush was elected the president again.17. The kingdom had been under control of the king for forty years before his death. 18. The citizens considered the project profitable, so they voted against it.19. Women should be equal with men in all fields.20.The governments at all levels ought to lay stress on(重视) education. IV. Reading comprehensionAMany people go to school for an education. They learn languages, history, geography, physics, chemistry and mathematics. Others go to school to learn a skill so that they can make a living. School education is very important and useful. Yet no one can learn everything from school. A teacher, no matter how much he knows cannot teach his students everything they want to know. The teacher’s job is to show his students how to learn. Heteaches them how to read and how to think. So much more is to be learned outside school by the students themselves.It is always more important to study by oneself that to memorize some facts or a formula (公式). It is2actually quite easy to learn a certain fact in history or a formula in math. But it is very difficult to use a formula in working out a math problem. Great scientists, such as Einstein, Newton and Galileo didn’t get everything fromschool. But they were all so successful. They invented so manythings for mankind. The reason for their success is that they worked hard all their lives, wasting not a single moment. They would ask many questions as they read and they did thousands of experiments.Above all, they knew how to use their brains.1. The subject which is not spoken of in the article is _________.A. mathB. historyC. physiologyD. physics2. The teacher’s job is to reach __________.A. everything the students want to knowB. the students everything that they knowC. the students some facts of formulasD. the students how to learn3. Einstein, Newton and Galileo did so many things for mankind because __________.A. they learned a lot at schoolB. they knew how to learn new things outside class by themselvesC. they were so usefulD. they went to college and learned from professors4. From the passage we know that if we want to be successful, we should ___________.A. only learn more at schoolB. needn’t go to schoolC. only learn science subjectsD. learn to learn at school and learn more outside schoolBFrance has been one of the main pioneers of many forms of artistic expression throughout its history. France and art are strongly connected with each other, and it would not be possible to think of world art without thinking of France.The importance of art in France can be easily seen by the great number of museums and art exhibitions throughout the country. They include the Musee du Louvre, which is one of the greatest museums of the world. There is also the Musee du Moyen Age in this list, which exhibits medieval artworks, and the Centre Pompidou, exhibiting art from the twentieth century. Among other important museums and exhibitions are the Musee d’Orsay,where visitors can observe a collection of French art from the 20th century, and the Musee Picasso, which exhibits amazing artworks fromthis outstanding artist. The Musee Rodin is another great place to visit in order to enjoy French art and to observe some amazing sculptures from this artist.The relation between France and art can be traced back to as long ago as the Stone Age. Many artworks dating from this period have been found in France and provide unique information about the culture and art of the world. In France, each time was strongly connected with art andhad its own art expression forms and characteristics, and they were closely connected with French history and culture.36. We can learn from the first paragraph that _____________.A. France is famous for its artB. France has the greatest museum of the worldC. French art plays an important role in world artD. France has the largest number of famous artists37. How many museums are mentioned in the passage in total?A.4.B.5.C.6.D.7.38. If you want to observe some amazing sculptures, which of the following places should you visit?A. The Musee d'Orsay.B. The Musee du Moyen Age.C. The Centre Pompidou.D. The Mus6e Rodin.39. It is implied in the last paragraph that _____________.A. France has the longest history of art in the world3B. artworks from the Stone Age are the most valuableC. French people now don't think art is important in their livesD. in France different periods of time have different styles of art40. In which section of a newspaper would you most probably readthis passage?A. Business.B. Education.C. Art.D. GeographyCIf there is one thing I'm sure about, it is that in a hundred years from now we will still be reading newspapers. Now some people get mostof their news from television or radio. Many buy a newspaper only on Saturday or Sunday. But for most people reading a newspaper has become a habit passed down from generation to generation.The nature of what is news may change. What basically makes news is what affects our lives-the big political stories, the coverage of the wars, earthquakes and other disasters, will continue much the same. I think there will be more coverage of scientific researches, though. It's already happening in areas that may directly affect our lives, like genetic engineering. In the future, I think there will be more coverage of scientific explanations of why we feel as we do-as we develop abetter understanding of how the brain operates and what our feelings really are.It's quite possible that in the next century newspapers will be transmitted (传递) electronically from FleetStreet and printed out in our own homes. In fact, I'm pretty surehow it will happen in the future. You will probably be able to choose from a menu, making up your own newspaper by picking out the things you want to read----sports and international news, etc.I think people have got it wrong when they talk about thecompetition among the different media. They actually feed off each other. It was once predicted that television would kill off newspapers, butthat hasn't happened. What is read on the printed page lasts longer thanpictures on a screen or sound lost in the air. And as for the Internet,it's never really pleasant to read something just on a screen.41. What is the best title for the passage?A. The Best Way to Get NewsB. The Changes of MediaC. Make Your Own NewspapersD. The Future of Newspapers42. In the writer's opinion, in the future, ______________.A. more big political affairs, wars and disasters will make newsB. newspapers will not be printed in publishing houses any longerC. newspapers will cover more scientific researchesD. more and more people will watch TV43. What will probably be on in the newspaper made by yourself?A. Sports and international news.B. A menu of important news.C. The most important news.D. What you are interested in.44. From the passage, we can infer ______________.A. newspapers will win the competition among the different mediaB. newspapers will stay with us together with other mediaC. television will take the place of newspaperD. the writer believes some media will die out45. The phrase "feed off" in the last paragraph means ______________.A. supportB. divideC. separateD. break up4。
成都七中实验学校2012年初升高(2)
成都七中实验学校2012年初升高英语试题本试卷分选择题和非选择题,选择题将正确答案用2B铅笔涂在机读卡上,非选择题用钢笔或圆珠笔写在答题卷上相应的位置。
全卷共3张8页。
注意事项:1、请同学们务必将自己的姓名、考号用钢笔或圆珠笔填写在机读卡上,用2B铅笔涂好考号,并在答题卷规定的位置上用钢笔或圆珠笔填写自己的姓名和考号。
3、考试结束时,将机读卡和第二卷一并交回。
第一部分英语知识运用(共两节,满分45分)第一节、单项填空(共15小题每小题1分,满分15分)从四个选项中,选出可以填入空白处的最佳选项,并在答题卡相应番号后将该项涂黑。
1.--- It’s said John will be in a job paying over $80,000 year.--- Right, he will also get paid by week.A.the; the B.a; the C.the; a D.a; a2.I’ll spend half of my holiday practicing English an d _______ half learning drawing.A. anotherB. the otherC. other’sD. other3. ---- Tom is never late for work. Why is he absent today?------ Something _________ to himA. must happenB. should have happenedC. could have happenedD. must have happened4. Jane, I’ve shared just about everything since the first day ofkindergarten, spent the weekend with me last month.A. whoB. for whomC. with whomD. that5. Please remain ________;the winner of the prize will be announced soon.A. seatingB. seatedC. to seatD. to be seated6. As a child , Tom studied in a village school ,_____ is named after his grandfather.A. whichB. whereC. whatD. that7. There are ________of students in our school who will go to Beijing for thesummer camping.______ of the students is about 300.A. a great number; The numberB. the number; A numberC. numbers ; The numbersD. a number ; A number;8.------ Could you be so kind as to close the window? ----______。
2012成都市实验外国语七上期末试题
2012-2013学年度(七)上学期期末考试Written testPart A (55 scores)一.选出与划线部分发音不同的一项:1. A.prize B.time C.pencil D.child2. A.hurry B.put C.duster D.upstairs3. A.tables B.cups C.actors D.letters4. zy B.basket C.banana D.father5. A.which B.where C.who D.white6. A.book B.look C.school D.football7. A.these B.thirsty C.mother D.brother8. A.postman B.woman C.German D.man9. A.please B.icecream C.ready D.teacher10.A.French B.thank C.English D.hungry二.单项选择:1.-_______ caps are in the locker?-Billy’s and Bob’s.A.Who’sB.WhoseC.WhichD.What2.Sandy and Sue are at home. ________ schoolbags are on the table.A.TheirB.ThereC.They’reD.They3. What are these ________ English?A.withB.forC.toD.in4.There is a _________ car near the shop.A.black newB.new EnglishC.German redD.old Chinese5.-These biscuits are for you, Kate. -__________.A.It’s all right.B.OKC.Thank you.D.You’re welcome.6.Kevin’s father is _________ actor. __________ very well.A.an, He’sB.an, HisC.an, HeD.a, His7.-Who is that woman with a bag?-She’s _________ teacher Miss Wiliams.A.Billy and TomB.Billy’s and Tom’sC.Billy’s and TomD.Billy and Tom’s8.-________ is your sister? -She’s a policeman.A.WhatB.WhoC.WhichD.How9.-___________ are very thirsty, Mum.-You can eat some apples.A.Frank and meB.I and FrankC.Frank and youD.Frank and I10.-We are sorry, Miss Jones. We are late again.-__________. But don’t be late next time.A.You are welcome.B.Yes, you are.C.Don’t worry.D.It’s all right.11.-________new balls are there in the shop? -There are ten.-________ are they? -They are $60 each.A.How many, How manyB.How much, How muchC.How many, How muchD.How much, How many12.Those boxes of sweets are nice. Give ________ two boxes please.A.themB.theyC.theirD.them13.These four girls _________ from Beijing.A.are bothB.both areC.are allD.all are14.-________ hot and thirsty? -The postmen are.A.Who areB.Whose isC.Whose areD.Who is15. Look at that clever dog! What’s _______ name?A.itB.itsC.it’sD.the16.Put _______ that black hat, Rose. It’s very cold today.A.onB.outC.offD.in17.-_______are the pictures on the wall?-They are very beautiful.A.WhereB.WhichC.HowD.What18. –What’s in that locker? -________ some books and a shoe.A.There areB.They areC.Their areD.These are19.-What’s the time? -It’s three o’clock.-It’s time for tea. What ______ tea? -Let me ________.A.for, to seeB.in, seeC.for, seeD.in, to see20.The ________ are at the door. There are four letters _______Alan and Fiona.A.postman, forB.postman, toC.postman, toD.postman, for三.完型填空:Look at this picture of a _1_. It’s big and __2__. There’s a teachers’ table in the front and there are 32 desks and __3__for students. Students __4__ lessens here. There are also some big windows. An __5__ TV is near the windows. __6__ are the students? Perhaps the boys are __7__the playground. They like __8__ basketball very much. And the __9__ are in the music class. They are good at __2__ songs.1. A.classroom B.school C.bedroom D.room2. A.full B.handsome C.clean D.hot3. A.balls B.chairs C.tables D.books4. A.have B.listen C.take D.do5. A.new B.big C.old D.nice6. A.Who B.How C.What D.Where7. A.on B.in C.near D.at8. A.play B.plays C.playing D.player9. A.boys B.parents C.teachers D.girls10.A.sing B.to sing C.sings D.singingPart B (65 scores)一.用所给单词的适当形式填空:The _1_ (policeman) in the car is tall, and the _2_ (postman) near the car are tall too. There is a boy with a football in the playground. He is a thin _3_(children). _4_(he) shoes are new.The cats are under the table. What about _5_(they)? Oh, they are lazy cats. _6_(go) to the playground quickly. It’s time for PE class. Those girls in that shop are very beautiful. Perhaps they are _7_(actress). Let me _8_(show) you my new shoes. They are very nice. Your mother _9_(be) not at home now. She goes to the shops. _10_(Liz) teacher is not Miss Williams. Her teacher is Mr Crisp.二.连词成句:1.both, school, Tom, late, morning, Billy, this, and, are, for______________________________________________________________________________ 2.pencil-box, pen, open, out, your, a take, and______________________________________________________________________________ 3.are, five, near, schoolboys, shop, there, fat, the____________________________________________________________________________ 4.Sandy’s , the, in, mother, is , car, white____________________________________________________________________________ 5.nice, show, basket, please, clean, me, that____________________________________________________________________________ 6.Jim’s , are, big, Peter’s, or, picture, the____________________________________________________________________________ 7.girls, perhaps, the, now, are, asleep, still.____________________________________________________________________________ 8.hands, once, and, wash, dirty, go, your, at____________________________________________________________________________ 9.shoes, tight, these, very, are, black.___________________________________________________________________________ 10.American, the, big, street, the, in cars, are___________________________________________________________________________三.句型转换:1.-_________ ________ _________ those football?-They are yellow.2.-_________ __________ _________ ___________?-No, Sue’s bicycle isn’t old. It’s new.3.-________ ___________ ___________ the boys in Mr Crisp’s class?-They are seven.4. -_________ ________ _________those bicycles at the door?-Those bicycles at the door are Chinese.5.-____________ ________ are the biscuits?-They are five shillings a packets.6. -_________ ________ _________are there in the refrigerator?-There are four icecreams in the refrigerator.7.- _________ __________ _________ ___________?-Tom’s and Billy’s lockers are full.8.- _________ __________ _________ Miss William’s?-The blue umbrella.9.-________ ________ in the shop?-There are some children in the shop.10.-_______ ________ __________ that handsome actor?-He is English.四.根据课文和首字母填空:1. Mr Clark and Mrs Clark have two c____1_____. Their n____2____ are Sandy and Sue. It’s e_____3_____ o’clock. B____4_____ is r____5_____, but Sandy and Sue are very q_____6____. Perhaps they are s____7_____ a____________. Are they late this morning? No, it’s a h___9_____ and the school is s____10_____ today. Sandy and Sue are in Mr Hill’s shop. They want to buy two p____11______ of sweets. They are a shilling each. That’s all their p____12____ money. So they buy two l___13______ i_____14______.2. Mother and Sue are in the shop. Sue puts on a pair of shoes, but they are very t____1____. There are some p___2____ shoes on the table. Mother wants Sue to t____3____ them on, and they are j___4____ right. Sue is in Mr Crisp’s class. There are two new p___5____ in her class. They are t____6_____.3. It’s tea time, but Sandy’s hands are very d_________. Mother asks Sandy to w________ his hands. Sandy cleans his hands with mother’s t__________. It’s not clean now. Mother gives Sandy an egg. He eats the egg q__________ and puts in the e_________. Father is home, and he’s very h_______. He wants to eat the egg, but it’s e________.4.Look at the boys in Miss William’s class. Their schoolbag are very h_______. What’s in Sandy’s schoolbag? There are six books and six e_________. Billy’s schoolbag is f_________. What’s in it? There is one book, two apples, three o________ and a banana. Billy has some s_________ too. Sandy and Tom take them out and put in a book and a d_________. Billy is angry. There are some nice s________ on Billy’s desk. They are l________ and French.。
成都石室中学2012年外地生入学考试英语试卷及答案
成都石室中学2012年外地生入学考试英语试题说明:本试卷共两卷,卷I和卷Ⅱ。
卷I的答案请涂在机读卡上,卷II的答案请填在答题卷上。
试卷总分为100分,考试时间为90分钟。
第1卷第一部分英语知识运用(共两节,满分30分)第一节单项选择(共10题;每小题1分,满分10分)从A,B,C,D四个选项中选出最佳选项,并在机读卡上将该项涂黑。
1. -Last Sunday Fred went to Ann's birthday party.- .And .A.So did he; so did IB.So he did; so I didC. So did he; so I didD.So he did; so did l2.- When____he____ his work?- He____it before you came backA.have,finish; have finishedB.have,finished; had finishedC. did,finish; had finishedD.did,finish; have finished3. The hotel they are staying at is very expensive.A.in whichB.thatC.whomD.where4. Taiwan is____the southeast of China and Japan is the east of China.A. in;inB.in; toC.to; toD.to; on5.Jessica's parents hope____doing her homework first before playing.A. their daughter to finishB.their daughter finishC. their daughter that she can finishD.that she can finish6.-Do you know____boy standing under the tree?-Yes,he is my friend,Jack He is___ honest boy.A.the;aB.the; an C a;a D.a;the7.-What____you do if you had a million dollars?-I'd give it to charity.A. willB.didC. wereD.would8.-Tom looks so tired today. What's wrong with him?-He was____busy a man he didn't go to bed until midnight yesterday.A.too; toB.enough,toC.so; thatD.such; that9. When she got to school,she realized she had her sports shoes at home.A. gotB.forgottenC.thrownD.left10. Our chemistry teacher came into the classroom. with a bottle with water in her handA. filledB.filling C to fill D.be filled第二节完形填空(共20题;每小题1分,满分20分)阅读下面短文,从A,B9C,D四个选项中选出最佳选项,并在机读卡上将该项涂黑。
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成都市实验外国语学校2012年直升生考试 数学试题 一、选择题(每小题4分,共40分,请将正确答案填入表格中) 1、多项式225441225xxyyx的最小值为( ) A、4 B、5 C、16 D、25 解析:5x²-4xy+4y²+12x+25 =x²+4x²-4xy+4y²+12x+25 =(x²-4xy+4y²)+4(x²+3x+2.25)+16 =(x-2y)²+4(x+1.5)²+16 ∵(x-2y)²≥0,(x+1.5)²≥0 ∴(x-2y)²+4(x+1.5)²+16≥16 (当且仅当x-2y=0,x+1.5=0,即x=-1.5,y=-0.75时取到最小值) ∴多项式5x²-4xy+4y²+12x+25的最小值为16
2、若函数212yxxc的自变量x的取值范围为一切实数,则c的取值范围是( ) A、1c B、1c C、1c D、1c 解析:由题意得:x^2+2x+c恒不等于零,又因为系数是大于零的,所以有:判别式是小于零的,即:4-4c<0,即c>1 3、在锐角ABC中,已知某两边1,3ab,那么第三边c的变化范围是( c )
A、24c B、23c C、210c D、810c 解析:已知三角形锐角ABC 所以A+B>C(三角形两边之和大于第三边) 所以C<1+3 C<4 从顶点A做一条垂线,垂足为D 构造RT三角形ADB. 由勾股定理得 AD^2=AB^2-BD^2 =1-4 =-根号3 再算另一个RT三角形得出 2
4、已知1O的半径为3cm,2O的半径为7cm,若12,OO的公共点不超过一个,则两圆的圆心距不可能是( C ) A、0cm B、4cm C、8cm D、12cm 5、已知a是实数,且关于x的二次方程220xaxa有实根,则该方程的根x所能取的最大值是( )
A、0 B、32 C、22 D、322 解析:把x^2+a^2x+a = 0看成关于a的二元一次方程 即,xa^2+a+x^2=0 因为,a为实数 所以,方程xa^2+a+x^2=0有实根 则,Δ=1-4x^3≥0 x≤3^√(1/4) 即3√2/2
6、方程227(13)20xkxkk(k是常数)有实根,,且01,12,那么k的范围是( ) A、34k B、21k C、2134kk或 D、无解 f(x)=7x^2-(k+13)x+k^2-k-2 抛物线开口向上 作图可知 充要条件: f(0)>0 k^2-k-2>0 k<-1或k>2 f(1)<0 k^2-2k-8<0 -2f(2)>0 k^2-3k>0 k<0或k>3 不等式组解 -27、已知抛物线224(03)yaxaxa,1122(,),(,)AxyBxy是抛物线上两点,若
12xx,且121xxa,则( )
A、12yy B、12yy C、12yy D、12,yy大小无法确定 解:将A点代入方程得:Y1=AX1^2+2AX1+4,① 将B点代入方程得:Y2=AX2^2+2AX2+4,② ①-②得:Y1-Y2=A(X1+X2)(X1-X2)+2A(X1-X2)=A(X1-X2)(X1+X2+2)=A(X1-X2)(3-A)∵x18、锐角ABC的三边两两不等,D是BC边上一点,90BADC,则AD一定过ABC的( )
A、重心 B、内心 C、外心 D、垂心 外心; 作辅助线,延长ad到e使∠dce=∠bad,于是∠ace=90°,从而ae就是三角形abc外接圆的直径,ae的中点即外心在ad上,所以ad一定过三角形abc的外心
9、一个一次函数的图像与直线59544yx平行,与x轴、y轴的交点分别是,AB,并且过点(1,25),则在线段AB上(包括端点,AB),横、纵坐标均为整数的点有( )个 A、4个 B、5个 C、6个 D、7个 由y=ax+b与y=(5/4)x+95/4平行, ∴a=5/4,得y=(5/4)x+b, 将(-1,-25)代入: -25=-5/4+b,b=-95/4 得:y=(5/4)x+95/4. 当y=0,x=-19,∴A(-19,0) 当x=0,y=95/4,∴B(0,95/4) ∵y=(5/4)x+95/4 =(5x+95)/4 当5x+95是4的整倍数时, 即x=-3,-7,-11,-15,-19时 y=20,15,10,5,0 共有5个点(-3,20)(-7,15)(-11,10)(-14,5)(-19,0)。
10、若,ab是两个正数,且1110abba,则ab的取值范围是( )
A、2ab B、1ab C、413ab D、413ab 设t=a+b>0 原式整理得 ab=(a+b)(a+b-1) ab=t(t-1)>0 且(a+b)^2≥4ab代入得t^2≥4t(t-1) 则解不等式组 ①. t(t-1)>0 ②.t^2≥4t(t-1) 通过t>0很容易看出这是个一元一次不等式组 解得答案1<a+b≤4/3 二、填空题(每小题4分,共40分)
1、若2224252xxxx,则22xx= .
2、当x发生变化时,分式22365112xxxx的最小值是 ,222222xxxx的最小值为 . (3X^+6X+5)/(0.5X^+X+1) =6- 1/(0.5X^+X+1) =6- 2/(X^+2X+2) =6- 2/[(X+1)^+1] ∵(X+1)^+1≥1 ∴2/[(X+1)^+1]小于等于2 ∴分式最小值为4.
3、关于x的不等式组1532223xxxxa只有四个整数解,则a的取值范围是 . 解不等式1得 x<21 解不等式2得 x>2-3a 结合两解得 2-3a所以16<=2-3a<17 -54、在ABC中,60B,B所对的边1b,则其余两边之和的最大值是 . 解余弦定理b²=a²+c²-2accosB 即(1)²=a²+c²-2accos60° 即1=(a+c)²-2ac-2ac*1/2 即1=(a+c)²-3ac 即3ac=(a+c)²-1 即[(a+c)²-1]/3=ac≤[(a+c)/2]² 令t=a+c 即[(t)²-1]/3=ac≤[(t)/2]² 整理得t²≤4 即t的最大值2 即a+c的最大值为2
5、设二次函数2()fxaxbxc的顶点坐标为(1,0)且对任意实数x,不等式21()(1)2xfxx恒成立,则函数()fx的表达式为 .
将(-1,0)代入得:b=a+c 1)由x≤f(x)=ax^2+(a+c)x+c =>ax^2+(a+c-1)x+c≤0对一切x都成立,所以有 a<0且判别式=(a-c)^2-2a-2c+1≤0[1] 2)由f(x)≤(1+x^2)/2 =>(a-1/2)x^2+(a+c)x+(c-1/2)≤0对一切x都成立,所以有 a-1/2<0且判别式=(a-c)^2+2a+2c-1≤0[2] 不等式[1]和[2]两边相加得 2(a-c)^2≤0 =>a-c=0=>a=c 将结果代入[1]和[2]得 2a+2c-1≤0[3];-2a-2c+1≤0[4] 由上面两式又可以发现 2a+2c-1=0,结合a=c得 a=c=1/4,满足0所以 f(x)=(1/4)x^2+(1/2)x+(1/4) 6、如图,在RtABC中,90,:1:2CACBC,在RtABC中有多个依次排队的正方形,,DCFEGFHKPHTQ,如果第一个正方形的边长为a,则第2012个正方形的边长应为 . 对于第一个正方形DCFE,显然三角形ADE与三角形ABC相似,AD:DE=1:2。由于DE=CD,则AD:CD=1:2。也即正方形边长是AC的2/3,即EF:AC=2:3。同理,KH:EF=2:3,KH=(2/3)EF=AC*(2/3)^2,QT:KH=2:3,QT=KH*(2/3)=AC*(2/3)^3……。则第2009个正方形边长应该是AC*(2/3)^2009=EF*(2/3)^2008。由于第一个正方形边长为a,则第2009个正方形边长为a*(2/3)^2008。 (即三分之二的2008次方乘以a。其中^代表乘方的意思
(第6题图)QP
THF
KG
ED
BC
A
(第8题图)BAPONM 7、在RtABC中,90C,若sin,sinAB是方程220xxk的两个根, 求k . 在Rt△ABC中,∠C=90,故A+B=90,sinA,sinB是方程x^2-√2x-k=o的两个根,则 sinA+sinB=√2,由A+B=90得sinB=cosA,即得 sinA+cosA=√2 两边平方得,1+2sinAcosA=2,sin2A=1,2A=90,A=45,B=45 -k=sinAsinB=(√2/2*√2/2)=1/2,k=-1/2,
8、如图,MN是半圆O的直径,A是半圆的一个三等分点,B是AN的中点,P是直径MN上的点,若PAPB的最小值为22厘米,则圆的半径r .