配套习题- 正方形的性质与判定 -【青果学院】

1/5单选题

难度：

1.正方形具有而矩形不一定具有的性质是（）

A	对角线互相平分
B	对角线相等
C	四个角都相等
D	对角线互相垂直

正确答案：RA==

6Kej562U77yaQeOAgeW5s+ihjOWbm+i+ueW9ouWvueinkue6v+mDveaYr+W5s+WIhueahO+8jOaVhemUmeivr++8mzxicj5C44CB55+p5b2i77yM5q2j5pa55b2i5a+56KeS57q/6YO95piv55u4562J55qE77yM5pWF6ZSZ6K+v77ybPGJyPkPjgIHmraPmlrnlvaLvvIznn6nlvaLlm5vkuKrop5Lpg73mmK/nm7Top5LvvIzmlYXplJnor6/vvJs8YnI+ROOAgeato+aWueW9ouWvueinkue6v+ebuOS6kuWeguebtO+8jOS9huefqeW9ouWvueinkue6v+S4jeS4gOWumuWeguebtO+8jOaVheato+ehru+8jg==

2/5单选题

难度：

2.如图，四边形ABCD是正方形，延长BC至点E，使CE=CA，连接AE交CD于点F，则∠AFC的度数是()

A	150°
B	125°
C	135°
D	112.5°

正确答案：RA==

6Kej77ya4oi15Zub6L655b2iQUJDROaYr+ato+aWueW9ou+8jENFPUNBPGJyPuKItOKIoEFDRT00NcKwKzkwwrA9MTM1wrDiiKBFPTIyLjXCsDxicj7iiLTiiKBBRkM9OTDCsCsyMi41wrA9MTEyLjXCsO+8jjxicj7mlYXpgIlE77yO

3/5单选题

难度：

3.在正方形ABCD的边AB、BC、CD、DA上分别任意取点E、F、G、H．这样得到的四边形EFGH中，是正方形的有（　　）

A	1个
B	2个
C	3个
D	无穷多个

正确答案：RA==

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

4/5单选题

难度：

4.

将五个边长都为2cm的正方形按如图所示摆放，点A、B、C、D分别是四个正方形的中心，则图中四块阴影面积的和为（）

A	2cm²
B	4cm²
C	6cm²
D	8cm²

正确答案：Qg==

PHA+6Kej77ya5aaC5Zu+77yM6L+e5o6lQVDvvIxBTu+8jOeCuUHmmK/mraPmlrnlvaLnmoTlr7nop5Lnur/nmoTkuqTngrk8aW1nIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvRjAvRDcvckJBQ0UxWHhMNG5UUW5GWUFBQVlmVGlyTWpzMTQyLnBuZyIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC9GMC9ENy9yQkFDRTFYeEw0blRRbkZZQUFBWWZUaXJNanMxNDIucG5nIiBhbHQ9IiIgc3R5bGU9IndpZHRoOiAxNjRweDsgaGVpZ2h0OiAxMzZweDsiPjxicj7liJlBUD1BTu+8jOKIoEFQRj3iiKBBTkU9NDXCsO+8jDxicj7iiLXiiKBQQUYr4oigRkFOPeKIoEZBTiviiKBOQUU9OTDCsO+8jDxicj7iiLTiiKBQQUY94oigTkFF77yMPGJyPuKItOKWs1BBRuKJjOKWs05BRe+8jDxicj7iiLTlm5vovrnlvaJBRU5G55qE6Z2i56ev562J5LqO4pazTkFQ55qE6Z2i56ev77yMPGJyPuiAjOKWs05BUOeahOmdouenr+aYr+ato+aWueW9oueahOmdouenr+eahDxzcGFuIGNsYXNzPSJtYXRocXVpbGwtcmVuZGVyZWQtbWF0aCIgc3R5bGU9ImZvbnQtc2l6ZToyMHB4OyI+PHNwYW4gY2xhc3M9InRleHRhcmVhIj48dGV4dGFyZWEgZGF0YS1ja2UtZWRpdGFibGU9IjEiIGNvbnRlbnRlZGl0YWJsZT0iZmFsc2UiPjwvdGV4dGFyZWE+PC9zcGFuPjxzcGFuIGNsYXNzPSJmcmFjdGlvbiBub24tbGVhZiIgbWF0aHF1aWxsLWNvbW1hbmQtaWQ9IjQiPjxzcGFuIGNsYXNzPSJudW1lcmF0b3IiIG1hdGhxdWlsbC1ibG9jay1pZD0iNSI+PHNwYW4gbWF0aHF1aWxsLWNvbW1hbmQtaWQ9IjgiPjE8L3NwYW4+PC9zcGFuPjxzcGFuIGNsYXNzPSJkZW5vbWluYXRvciIgbWF0aHF1aWxsLWJsb2NrLWlkPSI2Ij48c3BhbiBtYXRocXVpbGwtY29tbWFuZC1pZD0iOSI+NDwvc3Bhbj48L3NwYW4+PHNwYW4gc3R5bGU9ImRpc3BsYXk6aW5saW5lLWJsb2NrO3dpZHRoOjAiPiZuYnNwOzwvc3Bhbj48L3NwYW4+PC9zcGFuPjxzcGFuPiZuYnNwOzwvc3Bhbj7ogIzmraPmlrnlvaLnmoTpnaLnp6/kuLo077yMPGJyPuKItOWbm+i+ueW9okFFTkbnmoTpnaLnp6/kuLoxY208c3VwPjI8L3N1cD7vvIzlm5vlnZfpmLTlvbHpnaLnp6/nmoTlkozkuLo0Y208c3VwPjI8L3N1cD7vvI48YnI+5pWF6YCJQu+8jjxicj48YnI+PC9wPg==

5/5单选题

难度：

5.如图所示，在正方形ABCD所在平面找点P，使得△PAB、△PBC、△PDC、△PAD均为等腰三角形，则满足条件的点P有( )

A	5
B	9
C	11
D	13

正确答案：Qg==

6Kej562U77ya5YiG5Li65LiJ56eN5oOF5Ya177ya4pGg5q2j5pa55b2i5a+56KeS57q/55qE5Lqk54K577ybPGJyPuKRoeS9nEFC55qE5Z6C55u05bmz5YiG57q/WFnvvIw8YnI+5LulQuS4uuWchuW/g++8jOS7pUJD5Li65Y2K5b6E55S75byn77yM5LqkWFnkuo5QPHN1Yj4xPC9zdWI+77yMUDxzdWI+Mjwvc3ViPu+8jOS7pUPkuLrlnIblv4PvvIzku6VCQ+S4uuWNiuW+hOeUu+W8p++8jOS6pFhZ5LqOUDxzdWI+Mzwvc3ViPu+8jFA8c3ViPjQ8L3N1Yj7vvIw8aW1nIHdpZHRoPTEyNyBoZWlnaHQ9MjkzIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvNkUvMTkvckJBQ0oxVV9VM1B3RlNHRkFBQUsxcEV3QW9rMDk1LnBuZyIgPjxicj7ikaLlkIznkIbkvZxBROeahOWeguebtOW5s+WIhue6v++8jDxicj7ku6VC5Li65ZyG5b+D77yM5LulQUTkuLrljYrlvoTnlLvlvKfvvIzkuqRBQueahOWeguebtOW5s+WIhue6v+S6juS4pOeCue+8jOS7pUHkuLrlnIblv4PvvIzku6VBROS4uuWNiuW+hOeUu+W8p++8jOS6pEFC55qE5Z6C55u05bmz5YiG57q/5LqO5Lik54K577yMPGJyPuWNs+WFsTErNCs0PTnkuKrngrnvvJs8YnI+5pWF6YCJQu+8jg==