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【330105】18.2.1 第1课时 矩形的性质3

时间:2025-02-08 16:45:59 作者: 字数:2978字

18.2 特殊的平行四边形

18.2.1 矩形

1课时 矩形的性质


1.矩形具备而平行四边形不具有的性质是(

A.对角线互相平分 B.邻角互补 C.对角相等 D.对角线相等

2.在下列图形性质中,矩形不一定具有的是(

A.对角线互相平分且相等 B.四个角相等

C.既是轴对称图形,又是中心对称图形 D.对角线互相垂直平分

3 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a> 、如图,在矩形ABCD中,两条对角线ACBD相交于点OABOA4 cm,求BDAD的长.







4 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a> 如图,矩形ABCD的两条对角线相交于点O,∠AOD120°AB2,则矩形的对角线AC的长是______.







5、已知:△ABC的两条高为BECF,点MBC的中点. 求证:MEMF




6、如左下图,矩形ABCD中,ACBD相交于一点OAE平分∠BAD,若∠EAO15°,

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a>BOE的度数.









7 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a> 、把一张长方形的纸片按右上图所示的方式折叠,EMFM为折痕,折叠后的C点落在BMBM的延长线上,那么∠EMF的读度为(

A85° B90° C95° D100°



8、如右图所示,把两个大小完全一样的矩形拼成“L形图案,则∠FAC=_______

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a> FCA=________




9 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a> 、如右图,在矩形ABCD中,EFABGHBCEFGH的交点PBD上,图中面积相等

的四边形有(

A3 B4 C5 D6



1 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a> 0、如图4,矩形ABCD的周长为68,它被分成7个全等的矩形,则矩形ABCD的面积为(

A98 B196 C280 D284




11如左下图所示,矩形ABCD中,MBC的中点,且MA⊥MD,若矩形的周长为36 cm,求此矩形的面积。

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a>





1 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a> 2、如图,折叠矩形,使AD边与对角线BD重合,折痕是DG,点A的对应点是E

AB=2BC=1,求AG.











1 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a> 3如图,在矩形 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a> 中, <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a> 上一点, <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a> 上一点, <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a> ,且 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a>

矩形 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a> 的周长为 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a> ,求 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a> <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a> 的长.










15、【提高题】

如图,将矩形纸片ABCD沿对角线AC折叠,使点B落到点B的位置,ABCD交于点E.

1)试找出一个与△AED全等的三角形,并加以证明.

2)若AB=8DE=3P为线段AC上的任意一点,

PGAEGPHECH,试求PG+PH的值,并说明理由.


 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a>














矩形的性质 答案

1、【答案】 D

2、【答案】 D

3、【答案】BD8 cmAD <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a> (cm)

4、【答案】 4

5、【提示】 直角三角形斜边上的中线等于斜边的一半。

6【答案】 BOE= <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a>

7、【答案】 B

8、【答案】 90° 45°

9、【答案】 C

10、【答案】 C

11【答案】 72

1 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a> 2【答案】


13、【答案】  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a>  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a>

14、【答案】

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/386/" title="性质" class="c1" target="_blank">性质</a> <a href="/tags/900/" title="矩形" class="c1" target="_blank">矩形</a>