初中数学相似之动点问题综合测试卷

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1、初中数学相似之动点问题综合测试卷一、单选题(共2道，每道50分)1.如图,□OABC在平面直角坐标系中,O为坐标原点,点A在x轴上,∠AOC=60°,OC=4cm.OA=8cm.动点P从点O出发,以1cm/s的速度沿线段OA→AB运动;动点Q同时从点O出发,以acm/s的速度沿线段OC→CB运动,其中一点先到达终点B时,另一点也随之停止运动.设运动时间为t(秒). (1)当a=1时,设△OPQ的面积为S,则S与t的函数关系式为___________. (2)当点P在OA边上,点Q在CB边上时,线段PQ与对角线OB交于点M.若以O,M,P为顶点的三角形

2、与△OAB相似,则a与t的函数关系式为___________(并直接写出t的取值范围). A.;(0

3、出自变量t的取值范围; (2)在这个运动过程中,当△MPA为等腰三角形时,则t的值为() A.B. C.D. 9JWKffwvG#tYM*Jg&6a*CZ7H$dq8KqqfHVZFedswSyXTy#&QA9wkxFyeQ^!djs#XuyUP2kNXpRWXmA&UE9aQ@Gn8xp$R#͑Gx^Gjqv^$UE9wEwZ#Qc@UE%&qYp@Eh5pDx2zVkum&gTXRm6X4NGpP$vSTT#&ksv*3tnGK8!z89AmYWpazadNu##KN&MuWFA5uxY7JnD6YWRrWwc^vR9CpbK!zn%Mz

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