试题 试卷
题型:证明题 题类:常考题 难易度:普通
如图,在△ABC中,∠ACB=90°,AC=BC,点P是△ABC内一点,且∠APB=∠APC=135°.(1)求证:△CPA∽△APB;(2)试求tan∠PCB的值.
(1)若∠A=∠A1 , ∠C=∠C1 , 则△ABC∽△A1B1C1;
(2)若AC:A1C1=CB:C1B1 , ∠C=∠C1 , 则△ABC∽△A1B1C1;
(3)若AB=kA1B1 , AC=kA1C1 , (k≠0),∠A=∠A1 , 则△ABC∽△A1B1C1;
(4)若S△ABC= , 则△ABC∽△A1B1C1 .
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