PQMN四点都在椭圆x^2+Y^2/2=1上,F为椭圆在Y轴正半轴上的焦点.已知向量PF与向量FQ共线,向量MF与向量FN…共线,且向量PF*向量MF=0.求四边形PMQN面积的最小值和最大值.
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![PQMN四点都在椭圆x^2+Y^2/2=1上,F为椭圆在Y轴正半轴上的焦点.已知向量PF与向量FQ共线,向量MF与向量FN…共线,且向量PF*向量MF=0.求四边形PMQN面积的最小值和最大值.](/uploads/image/z/1592393-41-3.jpg?t=PQMN%E5%9B%9B%E7%82%B9%E9%83%BD%E5%9C%A8%E6%A4%AD%E5%9C%86x%5E2%2BY%5E2%2F2%3D1%E4%B8%8A%2CF%E4%B8%BA%E6%A4%AD%E5%9C%86%E5%9C%A8Y%E8%BD%B4%E6%AD%A3%E5%8D%8A%E8%BD%B4%E4%B8%8A%E7%9A%84%E7%84%A6%E7%82%B9.%E5%B7%B2%E7%9F%A5%E5%90%91%E9%87%8FPF%E4%B8%8E%E5%90%91%E9%87%8FFQ%E5%85%B1%E7%BA%BF%2C%E5%90%91%E9%87%8FMF%E4%B8%8E%E5%90%91%E9%87%8FFN%E2%80%A6%E5%85%B1%E7%BA%BF%2C%E4%B8%94%E5%90%91%E9%87%8FPF%2A%E5%90%91%E9%87%8FMF%3D0.%E6%B1%82%E5%9B%9B%E8%BE%B9%E5%BD%A2PMQN%E9%9D%A2%E7%A7%AF%E7%9A%84%E6%9C%80%E5%B0%8F%E5%80%BC%E5%92%8C%E6%9C%80%E5%A4%A7%E5%80%BC.)
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