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        1. 在梯形ABCD中,AD//BC,對(duì)角線ACBD,且AC=12,BD=9,則此梯形的
          中位線長(zhǎng)是( ).
          A.B.C.D.
          C

          試題分析:過(guò)點(diǎn)D作,交BC于點(diǎn)E,
          所以可得DE=AC,AD=CE,又因?yàn)?img src="http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824011548042608.png" style="vertical-align:middle;" />,所以BD⊥DE,根據(jù)勾股定理,,而梯形的中位線等于上底與下底的和的一半,所以梯形的中位線長(zhǎng)為
          點(diǎn)評(píng):解決本小題的關(guān)鍵是作輔助線,進(jìn)而就可以利用數(shù)量關(guān)系和勾股定理進(jìn)行求解.
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