2008年民大附中自主招生考试一批正录学生请于8月18日至21日

2008年民大附中自主招生考试一批正录学生请于8月18日至21日
2008年民大附中自主招生考试一批正录学生请于8月18日至21日

2008年民大附中自主招生考试一批正录学生请于8月18日至21日(详见录取通知书)报到,学校将组织学生免费观看奥运比赛(地点:鸟巢奥体中心)。

复旦附中自主招生英文试题

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8. 如图①, 将某四边形纸片ABCD (其中AB <BC )沿BD 对折,点A 恰好落在 BC 上,展开后出现折痕BD ,如图②.如图③,再将图片对折,使得B 、D 两 点重合,展开后出现折痕AE ,如图④.根据图④判断下列关系正确的是 E D B A C ( D )D C A B D ① ② ③ ④ A .AB//CD B .AD//B C C .∠ADB =∠BDC D .∠ADB >∠BDC 9. 小颖同学想用“描点法”画二次函数y =ax 2+bx +c (a ≠0) 的图象,取自变量x 的5个值,分别计算出对应的y 值,如下表: 由于粗心,小颖算错了其中的一个y 值,则这个算错的y 值所对应的x 为 A. -2 B. -1 C. 1 D.2 10.如图,已知正方形ABCD 的边长为2, △EFG 的边GE 在 直线AB 上,且EF =EG =2,∠FEG =90?,动点E 从点A 开始沿直线AB 向右平移,直到点G 与点B AE 的长为x ,△EFG 与正方形ABCD 重合部分(部分)的面积为y ,则y 与x 之间的函数关系的图象大致是 A B C D 二、填空题(本题共24分,每小题4分) 11. 已知a 、b 为两个连续的整数,且a <15< b ,则a + b = . 12. 如图,含?30角的直角三角尺DEF 放置在△ABC 上,?30角 的顶点D 在边AB 上,AB DE ⊥.若B ∠为锐角,DF BC //,

【2020-2021自招】中央民族大学附属中学初升高自主招生数学模拟试卷【4套】【含解析】

第一套:满分150分 2020-2021年中央民族大学附属中学初升高 自主招生数学模拟卷 一.选择题(共8小题,满分48分) 1.(6分)如图,△ABC中,D、E是BC边上的点,BD:DE:EC=3:2:1,M在AC边上,CM:MA=1:2,BM交AD,AE于H,G, 则BH:HG:GM=() A.3:2:1 B.5:3:1 C.25:12:5 D.51:24:10 2.(6分)若关于x的一元二次方程(x-2)(x-3)=m有实数根x1,x2,且x1≠x2,有下列结论: ①x1=2,x2=3;②1 > ; m 4 ③二次函数y=(x-x1)(x-x2)+m的图象与x轴交点的坐标为(2,0)和(3,0). 其中,正确结论的个数是【】 A.0 B.1 C.2 D.3 3.(6分)已知长方形的面积为20cm2,设该长方形一边长为ycm,另一边的长为xcm,则y与x之间的函数图象大致是()

A. B. C. D. 4.(6分)如图,在平面直角坐标系中,⊙O 的半径为1,则直线y x 2=-与⊙O 的位置关系是( ) A .相离 B .相切 C .相交 D .以上三种情况都有可能 5.(6分)若一直角三角形的斜边长为c ,内切圆半径是r ,则内切圆的面积与三角形面积之比是( ) A . B . C . D . 6.(6分)如图,Rt △ABC 中,BC=,∠ACB=90°,∠A=30°, D 1是斜边AB 的中点,过D 1作D 1 E 1⊥AC 于E 1,连结BE 1交CD 1于D 2;过D 2作D 2E 2⊥AC 于E 2,连结BE 2交CD 1于D 3;过D 3作D 3E 3⊥AC 于E 3,…,如此继续,可以依次得到点E 4、E 5、…、E 2013,分别记△BCE 1、△BCE 2、△BCE 3、…、△BCE 2013的面积为S 1、S 2、S 3、…、S 2013.则S 2013的大小为( ) A. 31003 B.320136 C.310073 D. 671 4 7.(6分)抛物线y=ax 2与直线x=1,x=2,y=1,y=2围成的正方形有公共点,则实数a 的取值范围是( ) A .≤a ≤1 B .≤a ≤2 C .≤a ≤1 D .≤a ≤2

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□□ 2019安徽师大附中自主招生 数 学 试 卷 一、填空题(本大题共8小题,每小题7分,共56分. 把答案填在题中横线上) 1.若1x = ,则32(2(1x x x -++的值是 . 2.有6个量杯A 、B 、C 、D 、E 、F ,它们的容积分别是16毫升、18毫升、22毫升、23毫升、24毫升和34毫升.有些量杯中注满了酒精,有些量杯中注满了蒸馏水,还剩下一个空量杯,而酒精的体积是蒸馏水体积的两倍.那么注满蒸馏水的量杯是 . 3.各边互不相等的ABC ?,两条高的长度分别为4和12,若第三条高的长度也是整数,那么这条高的长度等于 . 4.如图1,在ABC ?中, AB AC = , 40=∠A ,延长AC 到D ,使CD BC =,点P 是 ABD ?的内心,则BPC ∠= . 图1 图2 图3 5.ABC ?的三边长,,a b c 都为整数,且24a bc b ca +++=,当ABC ?为等腰三角形时,它的三边边长分别为 . 6.如图2,凸五边形ABCDE 内接于半径为1的⊙O ,ABCD 是矩形, AE ED =,且BE 和CE 把AD 三等分.则此五边形ABCDE 的面积是 .

7.方程2 0x ax b ++=的两根为12,x x ,且3322121212x x x x x x +=+=+,则有序实数对 (,)a b 共有 对. 8.如图3,正EFG ?内接于正方形ABCD ,其中,,E F G 分别在边,,AB AD BC 上,若 2AE EB =,则BG BC = . 二、解答题(本大题共3小题,共44分,答题应写出文字说明、证明过程或演算步骤) 9.(本小题满分14分)如图,⊙1O 与⊙2O 相交于A 、B 两点,过点B 的直线交⊙1O 与⊙ 2O 于C 、D .弧BD 的中点为M ,AM 交⊙1O 于E ,交CD 于F ,连,,CE AD DM . (1) 求证:AD EF DM CF ?=?; (2) 求证:22EF MF CE MA =; (3) 若5,7,2,4BC BD CF DF AM MF ====,求MF 和CE 的长.

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7.(5分)若对所有的实数x,x2+ax+a恒为正,则() A.a<0B.a>4C.a<0或a>4D.0<a<4 8.(5分)已知m,n是关于x的一元二次方程x2﹣2tx+t2﹣2t+4=0的两实数根,则(m+2)(n+2)的最小值是() A.7B.11C.12D.16 9.(5分)如图,点E、F分别为正方形ABCD中AB、BC边的中点,连接AF、DE相交于点G,连接CG,则cos∠CGD=() A.B.C.D. 10.(5分)一次函数y=﹣kx+4与反比例函数的图象有两个不同的交点,点(﹣,y1)、(﹣1,y2)、(,y3)是函数图象上的三个点,则y1、y2、y3的大小关系是() A.y2<y3<y1B.y1<y2<y3C.y3<y1<y2D.y3<y2<y1 11.(5分)如图,一个粒子从原点出发,每分钟移动一次,依次运动到(0,1)→(1,0)→(1,1)→(1,2)→(2,1)→(3,0)→……,则2018分钟时粒子所在点的横坐标为() A.886B.903C.946D.990 12.(5分)二次函数y=ax2+bx+c(a≠0)的图象如图所示,下列结论:①abc>0;②当x≥1时,y随x 的增大而减小;③2a+b=0;④b2﹣4ac>0;⑤<1,其中正确的个数是()

2012年民大附中自主招生语文试题带答案.

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