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python/数学课程/【2022河南中考题】动点隐藏圆,面积任你玩.md

567 B

  • 直角三角形,斜边中线,等于斜边一半 BG=\frac{1}{2}EF=2
  • BG长度固定,则G在以B为圆心,长度为2的圆上运动
  • 四边形面积最小,可以看成上面的三角形ACD是固定值,只要\triangle AGC面积最小即可,从GAC引垂线,则S_{\triangle AGC}=\frac{1}{2}AC\times GM
  • GM什么时候最短呢?
  • GM>=BM-BG>=BH-BG 所以求出BH即可,按面积相等求解吧