1、已知椭圆(X^2/A^2)+(Y^2/B^2)=1上任意一点M(除短轴端点外)与短轴两端点B1,B2的连线分别与X轴交于P,Q两点,O为椭圆中心.求证:|OP|·|OQ|为定值2、求证:等轴双曲线上任意一点到两渐近线的距离
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![1、已知椭圆(X^2/A^2)+(Y^2/B^2)=1上任意一点M(除短轴端点外)与短轴两端点B1,B2的连线分别与X轴交于P,Q两点,O为椭圆中心.求证:|OP|·|OQ|为定值2、求证:等轴双曲线上任意一点到两渐近线的距离](/uploads/image/z/6932893-13-3.jpg?t=1%E3%80%81%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86%28X%5E2%2FA%5E2%29%2B%28Y%5E2%2FB%5E2%29%3D1%E4%B8%8A%E4%BB%BB%E6%84%8F%E4%B8%80%E7%82%B9M%EF%BC%88%E9%99%A4%E7%9F%AD%E8%BD%B4%E7%AB%AF%E7%82%B9%E5%A4%96%EF%BC%89%E4%B8%8E%E7%9F%AD%E8%BD%B4%E4%B8%A4%E7%AB%AF%E7%82%B9B1%2CB2%E7%9A%84%E8%BF%9E%E7%BA%BF%E5%88%86%E5%88%AB%E4%B8%8EX%E8%BD%B4%E4%BA%A4%E4%BA%8EP%2CQ%E4%B8%A4%E7%82%B9%2CO%E4%B8%BA%E6%A4%AD%E5%9C%86%E4%B8%AD%E5%BF%83.%E6%B1%82%E8%AF%81%EF%BC%9A%7COP%7C%C2%B7%7COQ%7C%E4%B8%BA%E5%AE%9A%E5%80%BC2%E3%80%81%E6%B1%82%E8%AF%81%EF%BC%9A%E7%AD%89%E8%BD%B4%E5%8F%8C%E6%9B%B2%E7%BA%BF%E4%B8%8A%E4%BB%BB%E6%84%8F%E4%B8%80%E7%82%B9%E5%88%B0%E4%B8%A4%E6%B8%90%E8%BF%91%E7%BA%BF%E7%9A%84%E8%B7%9D%E7%A6%BB)
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