067](1)解:∵直角梯形 当时.四边形 为平行四边形. 由题意可知: 当时.四边形为平行四边形.································································· 3分 (2)解:设与相切于点 过点作垂足为 直角梯形 由题意可知: 为的直径. 为的切线 ····················································· 5分 在中.. 即:.. .因为在边运动的时间为秒 而..当秒时.与相切.································ 8分 [068]解:(1)如图4.过B作 则 过Q作 则 ························································································· 要使四边形PABQ是等腰梯形.则. 即 或(此时是平行四边形.不合题意.舍去)························· (2)当时.. ··············································· ···················································· ··································································· (3)①当时.则 ···························································································· ②当时. 即······················································ ③当时. ········· 综上.当时.△PQF是等腰三角形.·············· 【查看更多】

 

题目列表(包括答案和解析)

23、已知直角梯形ABCD的四条边长分别为AB=1,BC=CD=10,AD=6,过B、D两点作圆,与BA的延长线交于点E,与CB的延长线交于点F,并延长CD交圆于G点.
(1)试证:BF=DG;
(2)求BE-BF的值.

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9、已知直角梯形ABCD的四条边长分别为AB=2,BC=CD=10,AD=6,过B、D两点作圆,与BA的延长线交于点E,与CB的延长线交于点F,则BE-BF的值为
4
.

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7、下列命题中,真命题是(  )

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已知:直角梯形OABC的四个顶点是O(0,0),A(
3
2
,1),精英家教网B(s,t),C(
7
2
,0),抛物线y=x2+mx-m的顶点P是直角梯形OABC内部或边上的一个动点,m为常数.
(1)求s与t的值,并在直角坐标系中画出直角梯形OABC;
(2)当抛物线y=x2+mx-m与直角梯形OABC的边AB相交时,求m的取值范围.

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已知:直角梯形OABC的四个顶点是O(0,0),A(,1),B(s,t),C(,0),抛物线y=x2+mx-m的顶点P是直角梯形OABC内部或边上的一个动点,m为常数.
(1)求s与t的值,并在直角坐标系中画出直角梯形OABC;
(2)当抛物线y=x2+mx-m与直角梯形OABC的边AB相交时,求m的取值范围.

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