江苏省苏州市2017届中考数学二模试题

江苏省苏州市2017届中考数学二模试题

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1、江苏省苏州市2017届中考数学二模试题9.如图△ABC中,∠C=90°,AC=4,BC=3,将△ABC绕点A逆时针旋转,使点C落在线段AB上的点E处,点B落在点D处,则B、D两点间的距离为()A.2B.C.3D.2110.如图点A、B在反比例函数y=(k>0,x>0)图象上,BC∥x轴,交y轴于点C,动点P从坐标原点O出发,沿O→A→B→C(图中“→”所示路线)匀速运动,终点为C,过P作PM⊥x轴,垂足为M.设三角形OMP的面积为S,P点运动时间为t,则S关于x的函数图象大致为A.B.C.D.2三、解答题:本大题共11小题,共76分.把解答过程写在答题卡相应位置上,解答时应写出必要的

2、计算过程、推演步骤或文字说明,作图时用2B铅笔或黑色墨水签字笔.2019.(本题满分5分)计算:(3)2(5).x1220.(本题满分5分)解不等式组:2x2x1345参考答案一、选择题(每小题3分,共30分)题号12345678910答案CBCAADBDBA二、选择题(每小题3分,共24分)7211.(a+3)(a-3)12.4.51×1013.814.901015.6016.17.43一418.①、②、③3三、解答题(共11大题,共76分)19.(本题共5分)解:原式=32+1·································

3、·············································3分=2···························································································5分20.(本题共5分)解:由①式得:x>3.·············································································2分由②式得:x4.············································

4、·······························4分∴不等式组的解集为:3x4.·················································5分21.(本题共6分)xx解:原式=·············································································1分2x1x1xx1=······································································2分(x1)(x1)x1=

5、······················································································4分x11当x=21时,原式=····································································5分22=.····················································································6分222.(本题满分6分)解:设骑电瓶车学生的速度为xkm/h,汽

6、车的速度为2xkm/h,可得:··········1分101020=+,x2x60·········································6······································3分解得x=15,······················································································4分经检验,x=15是原方程的解,······························································

7、5分2x=2×15=30.答:骑车学生的速度和汽车的速度分别是15km/h,30km/h.·························6分23.(本题共8分)(1)证明:∵四边形ABCD为平行四边形∴AD∥BC,AB∥CD,AB=CD,·····································································1分∴∠B+∠C=180°,∠AEB=∠DAE,················

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