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如图,已知B′C′∥BC,C′D′∥CD,D′E′∥DE.

(1)求证:四边形BCDE位似于四边形B′C′D′E′.
(2)若
AB′
B′B
=3
,S四边形BCDE=20,求S四边形B′C′D′E′
人气:289 ℃ 时间:2019-10-18 21:56:21
解答
(1)证明:∵B′C′∥BC,C′D′∥CD,D′E′∥DE,∴AD′AD=AC′AC=C′D′CD=E′D′ED=B′C′BC=B′E′BE,又四边形BCDE与四边形B′C′D′E′对应顶点相交于一点A,∴四边形BCDE位似于四边形B′C′D′E′;(2)∵...
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