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如图,在四边形ABCD中,AB=BC,对角线BD平分∠ABC,P是BD上一点,过点P作PM⊥AD,PN⊥CD,垂足分别为M,N.
(1)求证:∠ADB=∠CDB;
(2)若∠ADC=90°,求证:四边形MPND是正方形.
考点分析:
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如图,在梯形ABCD中,AD∥BC,AB=DC,AC与BD相交于P.已知A(2,3),B(1,1),D(4,3),则点P的坐标为(
,
).
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![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101193417368566054/SYS201311011934173685660013_ST/images0.png)
已知如图所示的图形的面积为24,根据图中的条件,可列出方程:
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