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# 矩 形 的 定 义 及 性 质 - PowerPoint PPT Presentation

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## PowerPoint Slideshow about '矩 形 的 定 义 及 性 质' - kyle

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A

D

C

B

∵∠ABC = ∠DCB = 90°

（）

AB = DC ， BC = CB

∴△ABC≌△DCB ∴AC = BD

?

D

A

C

B

∴ ACBE是矩形

∴CE = AB（）

E

∵AD = BD ，CD = ED

∴ACBE是平行四边形

?

AC = BD

OA = AC

OD = BD

A

D

1

O

B

C

∠AOD=120°，AB = 4cm.

∴OA = OD（）

∵ ∠AOD=120°

∴ ∠1=30°

∴BD = 2AB=2×4=8cm

?

[ ]

1. 下面性质中，矩形不一定具有的是

A．对角线相等B．四个角都相等

C．是轴对称图形D．对角线垂直

[ ]

A．对角线相等的四边形B．对角线互相平分且相等的四边形

C．对角线互垂直平分的四边形 D．对角线垂直的四边形

3. 已知矩形的一条对角线与一边的夹角是40°，则两

[ ]

A．50° B．60° C．70° D．80°

4. 矩形ABCD中，AB=2BC，E在CD上，AE=AB，

[ ]

A．30° B．45° C．60° D．120°

D

2. 过四边形的各个顶点分别作对角线的平行线，若这四

D

D

A

A：四边形集合

B

C

A

B：矩形集合

C：平行四边形集合