题干

若B(﹣8,0),C(8,0)为△ABC的两个顶点,AC、AB两边上的中线和是30,求△ABC重心G的轨迹方程.
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答案(点此获取答案解析)

解:如图,设CD、BE分别是AB、AC边上的中线,则CD+BE=30,又G是△ABC的重心,
∴BG=
2
3
BE,CG= <

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