配套习题- 正方形中最值问题的解题策略（一） -【青果学院】

挑战习题

1/5单选题

难度：

1.如图，已知正方形ABCD的边长为4，点M在DC上，DM=1，点N是AC上的一个动点，那么DN+MN的最小值是（　　）

A	3
B	4
C	5
D	6

提示1：: IOeUseato+aWueW9oueahOWvueensOaAp+WPr+efpeeCuULkuI5E5YWz5LqO55u057q/QUPlr7nnp7DvvIzov57mjqVCTeS6pEFD5LqOTuKAsueCue+8jE7igLLljbPkuLrmiYDmsYLlnKhSdOKWs0JDTeS4reWIqeeUqOWLvuiCoeWumueQhuWNs+WPr+axguWHukJN55qE6ZW/5Y2z5Y+vLg==

正确答案：Qw==

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2/5单选题

难度：

2.如图，E是正方形ABCD的边AB上的一点，AE=3，BE=1，P是AC上一动点，则当PB+PE为最小值时，点P在（　　）

A	AC的三等分点
B	AC的中点
C	连接DE与AC的交点
D	以上都不对

提示1：: IOeUseato+aWueW9ouaAp+i0qOeahOW+l+WHukLjgIFE5YWz5LqOQUPlr7nnp7DvvIzmoLnmja7kuKTngrnkuYvpl7Tnur/mrrXmnIDnn63lj6/nn6XvvIzov57mjqVERe+8jOS6pEFD5LqOUO+8jOi/nuaOpUJQ77yM5YiZ5q2k5pe2UEIrUEXnmoTlgLzmnIDlsI8u

正确答案：Qw==

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3/5单选题

难度：

3.如图，正方形ABCD的面积为16，△ABE是等边三角形，点E在正方形ABCD内，在对角线AC上有一动点P，则PD+PE的和最小值为（　　）

A
B	4
C	3
D

提示1：: IOeUseS6jueCuULkuI5E5YWz5LqOQUPlr7nnp7DvvIzmiYDku6Xov57mjqVCRe+8jOS4jkFD55qE5Lqk54K55Y2z5Li6UOeCuS4g5q2k5pe2UEQrUEU9QkXmnIDlsI/vvIzogIxCReaYr+etiei+ueKWs0FCReeahOi+ue+8jEJFPUFC77yM55Sx5q2j5pa55b2iQUJDROeahOmdouenr+S4ujnvvIzlj6/msYLlh7pBQueahOmVv++8jOS7juiAjOW+l+WHuue7k+aenC4=

正确答案：Qg==

6Kej77ya6K6+QkXkuI5BQ+S6pOS6jueCuVAn77yM6L+e5o6lQkQuIDxicj48aW1nIHdpZHRoPTEyMyBoZWlnaHQ9MTExIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvMTAvRDkvckJBQ0ZGTjE2N3FURnMxRkFBQVZtUFlUS19jOTMwLnBuZyIgYWx0PemdkuaenOWtpumZoj48YnI+4oi154K5QuS4jkTlhbPkuo5BQ+WvueensO+8jDxicj7iiLRQJ0Q9UCdC77yMIDxicj7iiLRQJ0QrUCdFPVAnQitQJ0U9QkXmnIDlsI8uIDxicj7iiLXmraPmlrnlvaJBQkNE55qE6Z2i56ev5Li6MTbvvIw8YnI+4oi0QUI9NO+8jDxicj7lj4jiiLXilrNBQkXmmK/nrYnovrnkuInop5LlvaLvvIw8YnI+4oi0QkU9QUI9NC4gPGJyPuaVhemAiUIuIA==

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4/5单选题

难度：

4.如图，在边长为2cm的正方形ABCD中，点Q为BC边的中点，点P为对角线AC上一动点，连接PB、PQ，则△PBQ周长的最小值为（）. （结果不取近似值）.

A
B
C
D	5

提示1：: IOKWs1BCUeWRqOmVv+etieS6jlBCK1BRK0JR77yM6ICMQlHmmK/mraPmlrnlvaLovrnplb/nmoTkuIDljYrvvIzmmK/kuIDkuKrlrprlgLwx77yM5qC55o2u5q2j5pa55b2i55qE5oCn6LSo55+l6YGT54K5QuS4jueCuUTlhbPkuo5BQ+WvueensO+8jOi/nuaOpURR77yM5LqkQUPkuo7ngrlQ77yM6L+e5o6lUEIuIOaJgOS7pUJQPURQ

正确答案：QQ==

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5/5单选题

难度：

5.如图，正方形ABCD的边长为8，点E、F分别在AB、BC上，AE=3，CF=1，P是对角线AC上的个动点，则PE+PF的最小值是（　　）

A
B
C
D

提示1：: IOi/h0XkvZxBQ+eahOWegue6v+S6pEFE5LqO54K5ReKAsu+8jOi/nuaOpUXigLJG5LqkQUPkuo7ngrlQ77yM6L+HRuS9nEFE55qE5Z6C57q/5LqkQUTkuo7ngrlH77yM5YiZReKAskbljbPkuLrmiYDmsYLvvIzmoLnmja7mraPmlrnlvaLnmoTmgKfotKjlj6/nn6XilrNBRUXigLLmmK/nrYnohbDkuInop5LlvaLvvIxBReKAsj0z77yMR0Q9Q0Y9Mu+8jOeUsUFEPTjljbPlj6/msYLlh7pHReKAsueahOmVv++8jOWGjeeUseWLvuiCoeWumueQhuWNs+WPr+axguWHukXigLJG55qE6ZW/Lg==

正确答案：Qw==

6Kej77ya6L+HReS9nEFD55qE5Z6C57q/5LqkQUTkuo7ngrlF4oCy77yM6L+e5o6lReKAskbkuqRBQ+S6jueCuVDvvIzov4dG5L2cQUTnmoTlnoLnur/kuqRBROS6jueCuUfvvIzliJlF4oCyRuWNs+S4uuaJgOaxgu+8jDxicj48aW1nIHdpZHRoPTEzMiBoZWlnaHQ9MTI3IHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNEMvRTQvckJBQ0UxTjE2OEdEMVh3U0FBQVA2WjBPdmtNNDYyLnBuZyI+PGJyPuKIteWbm+i+ueW9okFCQ0TmmK/mraPmlrnlvaLvvIw8YnI+4oi04oigREFDPeKIoEJBQz00NcKw77yMPGJyPuKItUVF4oCy4oqlQUPvvIw8YnI+4oi04pazQUVF4oCy5piv562J6IWw5LiJ6KeS5b2i77yMPGJyPuKItEFFPUFF4oCyPTPvvIw8YnI+4oi1R0biiqVBRO+8jDxicj7iiLRHRD1DRj0x77yMPGJyPuKItEdF4oCyPTgtR0QtQUXigLI9OC0zLTE9NO+8jDxicj7lnKhSdOKWs0dGReKAsuS4re+8jEdF4oCyPTTvvIxHRj0477yMPGJyPuKItEXigLJGPTxpbWcgd2lkdGg9ODAgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNEMvRTQvckJBQ0UxTjE2OEh5cE9OTUFBQUNtNmd2R3MwNjQzLnBuZyI+PTxpbWcgd2lkdGg9NTMgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvMTAvRDkvckJBQ0ZGTjE2OEhqckM2VkFBQUNMRjlpMUhVNzg2LnBuZyI+PTQ8aW1nIHdpZHRoPTE5IGhlaWdodD0yMSBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzRDL0U0L3JCQUNFMU4xNjhIQnNCOXpBQUFCWkxldjBzbzk1My5wbmciPi4gPGJyPuaVhemAiUMuIA==

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