最新北师大版八年级下数学期中测试卷及答案

1、最新北师大版 八年级下册 数学期中测试卷一选择题1. 到三角形三个顶点的距离相等的点是三角形（ ）的交点.a. 三个内角平分线 b. 三边垂直平分线 c. 三条中线 d. 三条高2. 如果的解集为，则的取值范围是（）a. b. c. d. 是任意实数3. 如图所示，de是线段ab的垂直平分线，下列结论一定成立的是（）a. ed=cd b. dac=b c. c2b d. b+ade=904不等式组的解集是（ ）ax8bx2c0x2d2x85、已知等腰三角形的两边长分别为5、2，则该等腰三角形的周长是（ ）a7 b9 c12或者9 d126. 如图，已知ab=ac，a=36，ac的垂直平分线mn

2、交ab于d，ac于m，以下结论：bcd是等腰三角形；射线cd是acb的角平分线；bcd的周长cbcd=ab+bc；admbcd。正确的有（）a. b. c. d. 7函数ykxb（k、b为常数，k0）的图象如图所示，则关于x的不等式kx+b0的解集为（ ）ax0 bx0 cx28. 下列各组图形中，图形甲变成图形乙，既能用平移，又能用旋转的是（）a. b. c. d. 9. 初三的几位同学拍了一张合影作为留念，已知拍一张底片需要5元，洗一张相片需要0.5元。拍一张照片，在每位同学得到一张相片的前提下，平均每人分摊的钱不足1.5元，那么参加合影的同学人数为（）a. 至多6人b. 至少6人c. 至

3、多5人d. 至少5人10如图，已知直线y1=x+m与y2=kx1相交于点p（1，1），则关于x的不等式x+mkx1的解集在数轴上表示正确的是（）abcd二、填空题（每小题3分，共21分）1不等式2x3x的解集是 2.若关于x的不等式（1a）x2可化为x，则a的取值范围是 .3. 一元一次不等式组的解集是 .4如图，在正方形abcd中，边长为2的等边三角形aef的顶点e、f分别在bc和cd上，下列结论：cecfaeb750be+dfefs正方形abcd2+，其中正确的序号是 。（把你认为正确的都填上） 5如图，已知bc=ec，bce=acd，要使abcdec，则应添加的一个条件为 （不唯一，只需

4、填一个）6. 已知一个等腰三角形的底边长为5，这个等腰三角形的腰长为x，则x的取值范是 。7. 如图所示，在abc中，a=90，bd是abc的平分线，de是bc的垂直平分线，则c= 。8. 如图，在abc中，ad是bac的平分线，ad的垂直平分线交bc的延长线于点f，已知b=50，则caf的度数为 。9. 如图，rtabc中，c=90，bc=15，斜边ab的垂直平分线与cab的平分线都交bc于d点，则点d到斜边ab的距离为 。10. 点（1，2）关于原点对称点的坐标是 ；关于轴对称点的坐标是 ；关于轴对称点的坐标是 。3、 解答题1、解不等式组，并指出它的所有的非负整数解.2如图，已知，ec=

5、ac，bce=dca，a=e；求证：bc=dc3如图，在正方形abcd中，e是ab上一点，f是ad延长线上一点，且dfbe（1）求证：cecf；（2）若点g在ad上，且gce45，则gebe+gd成立吗？为什么？4雅安地震后，政府为安置灾民，从某厂调拔了用于搭建板房的板材5600m3和铝材2210m3,计划用这些材料在某安置点搭建甲、乙两种规格的板房共100间.若搭建一间甲型 板房或一间乙型板房所需板材和铝材的数量如下表所示：板房规格 板材数量(m3)铝材数量(m3)甲型4030乙型 6020 请你根据以上信息，设计出甲、乙两种板房的搭建方案.5、将两块大小一样含30角的直角三角板，叠放在一起

6、，使得它们的斜边ab重合，直角边不重合，已知ab=8，bc=ad=4，ac与bd相交于点e，连结cd若以ab所在直线为轴，过点a垂直于ab的直线为轴建立如图10的平面直角坐标系，保持abd不动，将abc向轴的正方向平移到fgh的位置，fh与bd相交于点p，设af=t，fbp面积为s，求s与t之间的函数关系式，并写出t的取值值范围.edchfgbapyx图10kqcwa3ptgz7r4i30ka1dkagtgkqcwa3p tgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32

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