24.△ABC為等邊三角形,BC交y軸于點(diǎn)D,A(a,0),B(b,0),且a,b滿足
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(1)如圖1,求點(diǎn)A,B的坐標(biāo)及CD的長;
(2)如圖2,P是AB的延長線上一點(diǎn),點(diǎn)E是CP右側(cè)一點(diǎn),CP=PE,且∠CPE=60°,連接EB,求證:直線EB必過點(diǎn)D關(guān)于x軸對稱的對稱點(diǎn);
(3)如圖3,若點(diǎn)M在CA的延長線上,點(diǎn)N在AB的延長線上,且∠CMD=∠DNA,求AN-AM的值.