题目

如图14,△ABC中,AB =AC,AD⊥BC,M为AD中点,CM交AB于P点,DN∥CP交AB于N点.若AB =6cm,则AP =       cm.(　　)图14A.2                              B.3                       C.4                       D.5 答案：思路解析:在△AND中,∵M为AD中点,DN∥CP,∴AP =PN.又∵AB =AC,AD⊥BC,∴BD =DC.在△BCP中,∵BD =DC,DN∥PC,∴BN =NP.∴AP ==2.答案:A

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