配套习题- 利用正方形的性质求线段长度 -【青果学院】

1/5单选题

难度：

1.已知正方形的对角线长是

，则正方形两条对角线的交点到一边的距离是（　　）

A
B
C
D	1

正确答案：Qw==

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

2/5单选题

难度：

2.如图，正方形ABCD的对角线交于点0，∠BAC的平分线交BD于点E，若正方形的边长是1cm，则DE的长是（　　）

A
B
C
D

正确答案：Qg==

6Kej77ya4oi1QUJDROS4uuato+aWueW9ou+8jDxicj7iiLTiiKBBQkU94oigQkFDPeKIoERBQz00NcKwLiA8YnI+4oi1QUXlubPliIbiiKBCQUPvvIw8YnI+4oi04oigQkFFPeKIoEVBQz0yMi41wrAuIDxicj7iiLTiiKBEQUU9NDXCsCsyMi41wrA9NjcuNcKw77ybPGJyPuKIoEFFRD3iiKBBQkUr4oigQkFFPTQ1wrArMjIuNcKwPTY3LjXCsC4gPGJyPuKItOKIoERBRT3iiKBBRUTvvIw8YnI+4oi0REU9QUQ9MS4gPGJyPuaVhemAiUIuIA==

3/5单选题

难度：

3.如图，在边长为2的正方形ABCD中，M为边AD的中点，延长MD至点E，使ME=MC，以DE为边作正方形DEFG，点G在边CD上，则DG的长为（　　）

A
B
C
D

正确答案：RA==

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

4/5单选题

难度：

4.如图，正方形ABCD的边长为4，点E在对角线BD上，且∠BAE=22.5°，EF⊥AB，垂足为F，则EF的长为（　　）

A	1
B
C
D

正确答案：Qw==

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

5/5单选题

难度：

5.如图，小正方形边长为1，连接小正方形的三个顶点，可得△ABC，则AC边上的高是（　　）

A
B
C
D

正确答案：Qw==

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