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1、A B C D E 昌平五中 2010-2011 学年第二学期初二年级期中考试数 学 试 卷（120 分钟）2011.4 一、选择题（每小题3 分，共 24 分）1已知22(5)0ab，那么ab的值为（）A3 B.-3 C.7 D.0 2.下列根式中是最简二次根式的是（）A8 B 3 C12D123关于 x 的方程 ax2-3x+2=0 是一元二次方程，则（）Aa0 Ba0 C98aD98a4.方程xx22的解为（）A.x2 B.x12，x20 C.x12，x20 D.x0 5以下列各组数为边长，能构成直角三角形的是（）A2，3，4 B3，4，6 C5，12，13 D4，6，6 6.如图，P为
2、菱形ABCD对角线AC上一点，PEAB于点E，PFAD于点F，若3PFcm，则点P到AB的距离PE的长是（）A1cm B2cm C3cm D4cm 7.如图，在平行四边形ABCD 中，52ADAB，AE平分BAD交BC边于点E，则线段BEEC、的长度分别为（）A2和3 B3和2C4和1 D1和48.如果等腰梯形两底的差等于一腰长，那么这个等腰梯形的锐角是（）A60 B30 C45 D75二、填空题(每小题 3 分，共 24 分)9.要使2x在实数范围内有意义，x应满足的条件是 _ 10.若实数 a,b 满足0)1(32ba，则代数式2aab的值为.11.方程032 xx的解是 _。12.已知关
3、于 x的一元二次方程022mxx有两个不相等的实数根，则m 的取值范围是 _ 13.已知反比例函数y=xk的图象经过点（1，4）,则 k=.14.在平行四边形 ABCD 中，A100,则B=_；15.如图，在ABC中，90B，DE、分别是边ABAC、的中点，4,10DEAC，则AD的长为_16.如图，菱形 ABCD 中，AB=2，BAD=60，E 是 AB的中点，P 是对角线 AC 上的一个动点，则PE+PB 的最小值是三、解答题（共35 分）17计算（每小题 5 分，共 10 分）（1）118503 82；（2）.1018(3)2 322.18解下列方程（每小题5 分，共 10 分）（1）2
4、3100 xx；（2）2214xx（配方法）19.（5 分）已知关于 x 的一元二次方程 x2+3x+k2+3k-4=0 的一个根为 0，求 2k2+6 k 的值DCEBAEBPCFDA昌平五中初一_班姓名_学号_我答卷的时间是_-密-封-线-DABCE20（本题 5 分）已知：如图，ABCD 中，点 E 是 AD 的中点，延长 CE 交 BA 的延长线于点 F求证：AB=AF21.（本题 5 分）如图，已知矩形ABCD，点 E 为矩形外一点，且AE=DE。求证：BE=CE四、解答题（共 37 分）22.（7 分）如图，正方形ABCD中,点 F 在边 BC 上，E 在边 BA 的延长线上，且
5、DEDF。（1）求证：DCFDAE；（2）若3,2AEBF,求四边形BFDE的面积.解：23（本题 6 分）如图，在梯形ABCD中，ADBC，ABDCAD，60C，AEBD于点E，1AE，求BC的长24（本题 6 分）列方程或方程组解应用题：随着人们节能意识的增强，节能产品的销售量逐年增加 某地区高效节能灯的年销售量为 10 万只，预计 20XX 年将达到 14.4 万只求该地区到 20XX年高效节能灯年销售量的平均增长率.解：25（本题 7 分）已知：关于 x 的一元二次方程 kx2+（2k3)x+k3=0 有两个不相等实数根（k0）（1）用含 k 的式子表示方程的两实数根；（2）设方程的两
6、实数根分别是1x，2x（其中21xx），若一次函数 y=(3k1)x+b 与反比例函数 y=xb的图像都经过点（x1，kx2），求一次函数与反比例函数的解析式26.（本题 4 分）如图 8-1、9-1，现将二张形状、大小完全相同的平行四边形透明纸片，分别放在方格纸中，方格纸中的每个小正方形的边长均为 1，并且平行四边形纸片的每个顶点与小正方形的顶点重合分别在图 8-1、图 9-1 中，经过平行四边形纸片的任意一个顶点画一条裁EDCBADCFBEAEBCDAF昌平五中初一_班姓名_学号_我答卷的时间是_-密-封-线-昌平五中初一_班姓名_学号_我答卷的时间是_-密-封-线-文档编码:CY4G9R
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9、9E8V4 HH8Y4X8J2Y4 ZH8K1A5I8R3文档编码:CY4G9R9E8V4 HH8Y4X8J2Y4 ZH8K1A5I8R3文档编码:CY4G9R9E8V4 HH8Y4X8J2Y4 ZH8K1A5I8R3文档编码:CY4G9R9E8V4 HH8Y4X8J2Y4 ZH8K1A5I8R3文档编码:CY4G9R9E8V4 HH8Y4X8J2Y4 ZH8K1A5I8R3文档编码:CY4G9R9E8V4 HH8Y4X8J2Y4 ZH8K1A5I8R3文档编码:CY4G9R9E8V4 HH8Y4X8J2Y4 ZH8K1A5I8R3文档编码:CY4G9R9E8V4 HH8Y4X8J2Y4 ZH
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11、9E8V4 HH8Y4X8J2Y4 ZH8K1A5I8R3文档编码:CY4G9R9E8V4 HH8Y4X8J2Y4 ZH8K1A5I8R3文档编码:CY4G9R9E8V4 HH8Y4X8J2Y4 ZH8K1A5I8R3文档编码:CY4G9R9E8V4 HH8Y4X8J2Y4 ZH8K1A5I8R3文档编码:CY4G9R9E8V4 HH8Y4X8J2Y4 ZH8K1A5I8R3文档编码:CY4G9R9E8V4 HH8Y4X8J2Y4 ZH8K1A5I8R3文档编码:CY4G9R9E8V4 HH8Y4X8J2Y4 ZH8K1A5I8R3文档编码:CY4G9R9E8V4 HH8Y4X8J2Y4 ZH
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13、9E8V4 HH8Y4X8J2Y4 ZH8K1A5I8R3文档编码:CY4G9R9E8V4 HH8Y4X8J2Y4 ZH8K1A5I8R3文档编码:CY4G9R9E8V4 HH8Y4X8J2Y4 ZH8K1A5I8R3剪线，沿此裁剪线将平行四边形纸片裁成两部分，按所采裁图形的实际大小，在图8-2中拼成正方形，在图9-2 中拼成一个角是135的三角形要求：（1）裁成的两部分在拼成几何图形时要互不重叠且不留空隙；（2）所拼出的几何图形的各顶点必须与小正方形的顶点重合.27（本题 7 分）如图，在直角梯形ABCD中，,8,24,90,/0cmABcmADBBCADcmBC26，动点P从A开始沿AD边
14、向D以scm/1的速度运动；动点Q从点C开始沿CB边向B以scm/3的速度运动。P、Q分别从点A、C 同时出发，当其中一点到达端点时，另外一点也随之停止运动，设运动时间为ts。（1）当 t为何值时，四边形PQCD平行为四边形？（2）当 t为何值时，四边形PQCD为等腰梯形？（3）当 t为何值时，四边形PQCD为直角梯形？ 文档编码:CY4G9R9E8V4 HH8Y4X8J2Y4 ZH8K1A5I8R3文档编码:CY4G9R9E8V4 HH8Y4X8J2Y4 ZH8K1A5I8R3文档编码:CY4G9R9E8V4 HH8Y4X8J2Y4 ZH8K1A5I8R3文档编码:CY4G9R9E8V4 H
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