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【330104】18.2.1 第1课时 矩形的性质2

时间:2025-02-08 16:45:56 作者: 字数:2130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. 矩形具有而一般平行四边形不具有的性质是( )

A. 对边相互平行 B. 对角线相等 C. 对角线相互平分 D. 对角相等

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.是轴对称图形 D.对角线互相垂直

3. 在矩形ABCD, 对角线交于O点,AB=6, BC=8, 那么△AOB的面积为_______________; 周长为_______________.


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> . 一个矩形周长是16cm, 对角线长是7cm, 那么它的面积为__________________.

5. 如图, 矩形ABCD的对角线交于O, OA=1, BC= <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> , 那么 <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> BDC的大小为________________.


 <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>

6. 如图, 矩形ABCD对角线交于O, 且满足AM=BN, 给出以下结论: MN //DC;  <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> DMN= <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> MNC;  <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> . 其中正确的是______________.




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> . 如图, 在矩形ABCD, AE平分 <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> BAD,  <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> CAE= <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> , 那么 <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的度数为__________________.





8. 在矩形ABCD, AB=3, BC=4, P为形内一点, 那么PA+PB+PC+PD的最小值为__________________.

9. 在△ABC, AM是中线,  <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> BAC= <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> , AB=6cm, AC=8cm, 那么AM的长为_______.

  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>, 在矩形ABCD,DE <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> AC于点E, BC= <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> , CD=2, 那么CE=________BE=_________


  1. 如图, 在矩形ABCD, AP=DC, PH=PC,

 <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)求证:△ABH≌△PAD

2)求证: PB平分 <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> CBH.










12. 如图, 在矩形ABCD, CEF为等腰直角三角形,

 <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> 1)求证:AE=AB

2)若矩形ABCD的周长为16cm, DE=2cm,求△CEF的面积.














  1. 如图, 在矩形ABCD, AD=12, AB=7, DF平分 <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> ADC, AF <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> EF,

 <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)求证:AF=EF (2)EF;














  1. 如图,在矩形ABCD中,AB=3BC=4,如果将该矩形沿对角线BD重叠,

 <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)求证:△ABE≌△C1DE

2)求图中阴影部分的面积.













 <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>

15. 如图矩形 <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,延长 <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> ,使 <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> <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> 中点.

求证: <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>