如图,在三角形ABC中,AB=AC,∠BAC=90°,在AB上取点P.在CA的延长线上取点Q,使AP=AQ,边CP与BQ交与点S,求证:△CAP全等于△BAQ

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如图,在三角形ABC中,AB=AC,∠BAC=90°,在AB上取点P.在CA的延长线上取点Q,使AP=AQ,边CP与BQ交与点S,求证:△CAP全等于△BAQ
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如图,在三角形ABC中,AB=AC,∠BAC=90°,在AB上取点P.在CA的延长线上取点Q,使AP=AQ,边CP与BQ交与点S,求证:△CAP全等于△BAQ
如图,在三角形ABC中,AB=AC,∠BAC=90°,在AB上取点P.在CA的延长线上取点Q,使AP=AQ,边CP与BQ交与点S,求证:△CAP全等于△BAQ

如图,在三角形ABC中,AB=AC,∠BAC=90°,在AB上取点P.在CA的延长线上取点Q,使AP=AQ,边CP与BQ交与点S,求证:△CAP全等于△BAQ
由AB=AC,
∠BAQ=∠CAP=90°,
AQ=AP,
∴△BAQ≌△CAP(SAS)
证毕.