配套习题-利用正方形的对称性解决问题 -【青果学院】

本课配套习题挑战模式1/5

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难度系数：

1.如图所示，正方形ABCD中，点E是CD边上一点，连接AE，交对角线BD于点F，连接CF，则图中全等三角形共有（　　）

A: 1对

B: 2对

C: 3对

D: 4对

提示1：IOagueaNruato+aWueW9oueahOaAp+i0qOWPr+W+l+WHuu+8muato+aWueW9oueahOS4gOadoeWvueinkue6v+W5s+WIhuS4gOe7hOWvueinku+8jOiAjOS4lOWbm+i+ueebuOetie+8jOagueaNrui+ueinkui+ueWFrOeQhuWPr+ivgeWHuuKWs0FCROKJjOKWs0NCRO+8jOKWs0FCRuKJjOKWs0NCRu+8jOKWs0FGROKJjOKWs0NGRO+8jOacieS4ieWvueWFqOetieeahOS4ieinkuW9ou+8jA==
答案：Qw==
6Kej77ya4oi1QUQ9Q0TvvIziiKBBREI94oigQ0RCPTQ1wrDvvIxERj1ERu+8mzxicj7iiLTilrNBREbiiYzilrNDREbvvJs8YnI+5ZCM55CG5Y+v5b6X77ya4pazQUJG4omM4pazQ0JG77ybPGJyPuKItUFEPUNE77yMQUI9QkPvvIxCRD1CRDxicj7iiLTilrNBQkTiiYzilrNDQkQuIDxicj7lm6DmraTmnKzpopjlhbHmnIkz5a+55YWo562J5LiJ6KeS5b2i77yMPGJyPuaVhemAiUMuIA==

本课配套习题挑战模式2/5

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难度系数：

2.如图，正方形的网格中，∠1+∠2+∠3十∠4+∠5等于（　　）

A: 175°

B: 180°

C: 210°

D: 225°

提示1：IOS7lOe7huWIhuaekOWbvuS4reinkuW6pu+8jOWPr+W+l+WHuu+8jOKIoDEr4oigNT05MMKw77yM4oigMiviiKA0PTkwwrDvvIziiKAzPTQ1wrDvvIzmiYDku6XiiKAxK+KIoDIr4oigM+WNgeKIoDQr4oigNT0yMjXCsC4=
答案：RA==
6Kej77ya4oi14oigMeWSjOKIoDXmiYDlnKjnmoTkuInop5LlvaLlhajnrYnvvIw8YnI+4oi04oigMSviiKA1PTkwwrDvvIw8YnI+4oi14oigMuWSjOKIoDTmiYDlnKjnmoTkuInop5LlvaLlhajnrYnvvIw8YnI+4oi04oigMiviiKA0PTkwwrDvvIw8YnI+6ICM77ya4oigMz00NcKw77yMPGJyPuKItOKIoDEr4oigMiviiKAz5Y2B4oigNCviiKA1PTIyNcKwLiA8YnI+5pWF6YCJRC4g

本课配套习题挑战模式3/5

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单选题

难度系数：

3.如图，正方形ABCD的边长为4，点M在边DC上，且DM=1，N为对角线AC上任意一点，则DN+MN的最小值为（　　）

A: 3

B: 5

C: 6

D: 无法确定

提示1：IOeUseato+aWueW9oueahOWvueensOaAp+WPr+efpeeCuULkuI5E5YWz5LqO55u057q/QUPlr7nnp7DvvIzov57mjqVCTeS6pEFD5LqOTuKAsueCue+8jE7igLLljbPkuLrmiYDmsYLlnKhSdOKWs0JDTeS4reWIqeeUqOWLvuiCoeWumueQhuWNs+WPr+axguWHukJN55qE6ZW/5Y2z5Y+vLg==
答案：Qg==
6Kej77ya4oi15Zub6L655b2iQUJDROaYr+ato+aWueW9ou+8jDxicj7iiLTngrlC5LiOROWFs+S6juebtOe6v0FD5a+556ew77yMPGJyPui/nuaOpUJE77yMQk3kuqRBQ+S6jk7igLLvvIzov57mjqVETuKAsu+8jE7igLLljbPkuLrmiYDmsYLnmoTngrnvvIw8YnI+5YiZQk3nmoTplb/ljbPkuLpETitNTueahOacgOWwj+WAvO+8jDxicj7iiLRBQ+aYr+e6v+autUJE55qE5Z6C55u05bmz5YiG57q/77yMPGJyPuWPiOKItUNNPUNELURNPTQtMT0z77yMPGJyPuKItOWcqFJ04pazQkNN5Lit77yMQk09PGltZyB3aWR0aD03OCBoZWlnaHQ9MjEgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC82Mi83Ri9yQkFDRkZPVmNXZmdRVURSQUFBQ1czZjdWdEE2ODMucG5nIj49PGltZyB3aWR0aD01NCBoZWlnaHQ9MjEgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC82Mi83Ri9yQkFDRkZPVmNXZmlwTi1RQUFBQnp4UFNBOFk4ODMucG5nIj49NTxicj7mlYXpgInvvJpCLiA8YnI+

本课配套习题挑战模式4/5

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难度系数：

4.已知：如图，AC为正方形ABCD的对角线，E为AC上一点，连接EB，ED，当∠BED=126°时，∠EDA的度数为（　　）

A: 54°

B: 27°

C: 36°

D: 18°

提示1：IOeUsUFCQ0TmmK/mraPmlrnlvaLlvpfiiKBEQUM9NDXCsO+8jOWPiOeUseKIoEJFRD0xMjbCsOW+l+KIoERFQz02M8Kw77yM5aSW6KeS562J5LqO55u46YK75YaF6KeS55qE5ZKM6ICM5b6XLg==
答案：RA==
6Kej77ya4oi1QUJDROaYr+ato+aWueW9ou+8jDxicj7iiLTiiKBEQUM9NDXCsO+8jDxicj7iiLXiiKBCRUQ9MTI2wrDvvIw8YnI+4oi04oigREVDPTYzwrDvvIw8YnI+4oi04oigRURBPTE4wrAuIDxicj7mlYXpgIlELiA=

本课配套习题挑战模式5/5

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单选题

难度系数：

5.如图，正方形ABCD的边长为4，E是BC边的中点，P是对角线BD上一个动点，则PE+PC的最小值是（　　）

A: 2

B: 2+2

C: 4

D: 6

提示1：IOimgeaxglBFK1BD55qE5pyA5bCP5YC877yMUEXvvIxQQ+S4jeiDveebtOaOpeaxgu+8jOWPr+iAg+iZkemAmui/h+S9nOi+heWKqee6v+i9rOWMllBF77yMUEPnmoTlgLzvvIzku47ogIzmib7lh7rlhbbmnIDlsI/lgLzmsYLop6Mu
答案：QQ==
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本课配套习题挑战模式3/5

本课配套习题挑战模式4/5

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