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python/数学课程/【翻折问题】角平分线2.md

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  • 延长ACD,使得AD=AB \triangle ABP \cong \triangle ADP

也就是\triangle APB根据AP翻折后得到\triangle APD

\because \angle APB=150^{\circ} \therefore \angle BPD=60^{\circ} 并且BP=PD \therefore \triangle PBD是等边三角形 \because \angle PBC=30^{\circ} \therefore \angle CBD=30^{\circ}

\triangle PBC \cong \triangle BCD,SAS \therefore PC=CD \therefore \angle CPD=\angle CDP\angle PDC=\angle ABP=6^{\circ}

\therefore \angle ACP=2*6^{\circ}=12^{\circ}