配套习题- 矩形判定的解题策略 -【青果学院】

挑战习题

1/5单选题

难度：

1.下列命题中，属于假命题的是（）

A	三角形三个内角的和等于180°
B	两直线平行，同位角相等
C	矩形的对角线相等
D	对角线相等的四边形是矩形

提示1：: IOagueaNruS4ieinkuW9oueahOWGheinkuWSjOWumueQhuWIpOWumu+8mw==

提示2：: IOagueaNruW5s+ihjOe6v+eahOaAp+i0qOWIpOWumg==

提示3：: IOagueaNruefqeW9oueahOaAp+i0qOWIpOWumg==

正确答案：RA==

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2/5单选题

难度：

2.用一刻度尺检验一个四边形是否是矩形，以下方法可行的有（）
①量出四边及两条对角线，比较对边是否相等，对角线是否相等.
②量出对角线的交点到四个顶点的距离，看是否相等.
③量出一组邻的长a、b以及和这两边组成三角形的那条对角线的长c，计算是否有a²+b²=c².
④量出两条对角线长，看是否相等.

A	一种
B	二种
C	三种
D	四种

提示1：: IOagueaNruS4pOe7hOWvuei+ueWIhuWIq+ebuOetieeahOWbm+i+ueW9ouaYr+W5s+ihjOWbm+i+ueW9ouaYr+efqeW9oi4=

提示2：: IOagueaNruWvueinkue6v+ebuOetieeahOW5s+ihjOWbm+i+ueW9ouaYr+efqeW9oi4=

提示3：: IOagueaNruWvueinkue6v+S6kuebuOW5s+WIhuS4lOebuOetieeahOWbm+i+ueW9ouaYr+efqeW9oi4=

正确答案：Qg==

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3/5单选题

难度：

3.在△ABC中，点D、E、F分别在BC、AB、CA上，且DE∥CA，DF∥BA，则下列三种说法：
①如果∠BAC=90°，那么四边形AEDF是矩形
②如果AD平分∠BAC，那么四边形AEDF是菱形
③如果AD⊥BC且AB=AC，那么四边形AEDF是菱形
其中正确的有（）

A	3个
B	2个
C	1个
D	0个

提示1：: IOagueaNrumimOaEj+WPr+W+l+Wbm+i+ueW9okFFREbmmK/lubPooYzlm5vovrnlvaLvvJs=

提示2：: IOeUseKIoEJBQz05MMKw77yM5b6X5Zub6L655b2iQUVERuaYr+efqeW9ou+8mw==

提示3：: IOeUsUFE5bmz5YiG4oigQkFD77yM5b6X5Zub6L655b2iQUVERuaYr+iPseW9ou+8mw==

提示4：: IOW9k0FE4oqlQkPkuJRBQj1BQ+aXtu+8jOWbm+i+ueW9okFFREbmmK/oj7HlvaIu

正确答案：QQ==

PGRpdj7op6PvvJriiLVEReKIpUNB77yMREbiiKVCQe+8jDxicj7iiLTlm5vovrnlvaJBRURG5piv5bmz6KGM5Zub6L655b2i77ybPGJyPuKIteKIoEJBQz05MMKw77yMPGJyPuKItOWbm+i+ueW9okFFREbmmK/nn6nlvaLvvJs8YnI+4oi1QUTlubPliIbiiKBCQUPvvIw8YnI+4oi04oigRUFEPeKIoEZBRO+8jDxicj7iiLTiiKBGQUQ94oigQURG77yMPGJyPuKItEFGPURG77yMPGJyPuKItOWbm+i+ueW9okFFREbmmK/oj7HlvaLvvJs8YnI+4oi1QUTiiqVCQ+S4lEFCPUFD77yMPGJyPuKItEFE5bmz5YiG4oigQkFD77yMPGJyPuKItOWbm+i+ueW9okFFREbmmK/oj7HlvaLvvJs8YnI+5pWF4pGg4pGh4pGi5q2j56GuLiA8YnI+5pWF6YCJQS4gPC9kaXY+

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4/5单选题

难度：

如图，已知在▱ABCD中，E，F分别是AB，CD的中点，BD是对角线，AG∥DB交CB延长线于G. 若四边形BEDF是菱形，则四边形AGBD是（）

青果学院

A	平行四边形
B	矩形
C	菱形
D	正方形

提示1：: PHA+55Sx6I+x5b2i55qE5oCn6LSo5b6X5Ye6QUU9QkU9REXvvJs8L3A+

提示2：: PHA+6YCa6L+H6KeS5LmL6Ze055qE5YWz57O75rGC5Ye64oigMiviiKAzPTkwwrDljbPiiKBBREI9OTDCsDwvcD4=

正确答案：Qg==

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5/5单选题

难度：

如图，在△ABC中，D是BC边上的一点，E是AD的中点，过A点作BC的平行线交CE的延长线于点F，且AF=BD，连接BF. 当△ABC满足（）条件时，四边形AFBD是矩形。

青果学院

A	AB=BC
B	AC=BC
C	AB=AC
D	∠BAC=90°

提示1：: PHA+5Lik55u057q/5bmz6KGM77yM5YaF6ZSZ6KeS55u4562J5rGC5Ye64oigQUZFPeKIoERDRe+8jOeEtuWQjuWIqeeUqOKAnOinkuinkui+ueKAneivgeaYjuKWs0FFRuWSjOKWs0RFQ+WFqOetie+8jOagueaNruWFqOetieS4ieinkuW9ouWvueW6lOi+ueebuOetieWPr+W+l0FGPUNE77ybPC9wPg==

提示2：: PHA+5Yip55So5LiA57uE5a+56L655bmz6KGM5LiU55u4562J55qE5Zub6L655b2i5piv5bmz6KGM5Zub6L655b2i6K+B5piO5Zub6L655b2iQUZCROaYr+W5s+ihjOWbm+i+ueW9ou+8jDwvcD4=

提示3：: PHA+5qC55o2u5LiA5Liq6KeS5piv55u06KeS55qE5bmz6KGM5Zub6L655b2i5piv55+p5b2i77yM5Y+v55+l4oigQURCPTkwwrDvvIznlLHnrYnohbDkuInop5LlvaLkuInnur/lkIjkuIDnmoTmgKfotKjlj6/nn6Xlv4XpobvmmK9BQj1BQzwvcD4=

正确答案：Qw==

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