已知双曲线C:x^2/4减y^2=1,P为C上的任意点(1)求证:点P到双曲线C的两条渐近线的距离的乘积是一个常数(2...已知双曲线C:x^2/4减y^2=1,P为C上的任意点(1)求证:点P到双曲线C的两条渐近线的距离的乘
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![已知双曲线C:x^2/4减y^2=1,P为C上的任意点(1)求证:点P到双曲线C的两条渐近线的距离的乘积是一个常数(2...已知双曲线C:x^2/4减y^2=1,P为C上的任意点(1)求证:点P到双曲线C的两条渐近线的距离的乘](/uploads/image/z/9885652-52-2.jpg?t=%E5%B7%B2%E7%9F%A5%E5%8F%8C%E6%9B%B2%E7%BA%BFC%3Ax%5E2%2F4%E5%87%8Fy%5E2%3D1%2CP%E4%B8%BAC%E4%B8%8A%E7%9A%84%E4%BB%BB%E6%84%8F%E7%82%B9%281%29%E6%B1%82%E8%AF%81%EF%BC%9A%E7%82%B9P%E5%88%B0%E5%8F%8C%E6%9B%B2%E7%BA%BFC%E7%9A%84%E4%B8%A4%E6%9D%A1%E6%B8%90%E8%BF%91%E7%BA%BF%E7%9A%84%E8%B7%9D%E7%A6%BB%E7%9A%84%E4%B9%98%E7%A7%AF%E6%98%AF%E4%B8%80%E4%B8%AA%E5%B8%B8%E6%95%B0%282...%E5%B7%B2%E7%9F%A5%E5%8F%8C%E6%9B%B2%E7%BA%BFC%3Ax%5E2%2F4%E5%87%8Fy%5E2%3D1%2CP%E4%B8%BAC%E4%B8%8A%E7%9A%84%E4%BB%BB%E6%84%8F%E7%82%B9%281%29%E6%B1%82%E8%AF%81%EF%BC%9A%E7%82%B9P%E5%88%B0%E5%8F%8C%E6%9B%B2%E7%BA%BFC%E7%9A%84%E4%B8%A4%E6%9D%A1%E6%B8%90%E8%BF%91%E7%BA%BF%E7%9A%84%E8%B7%9D%E7%A6%BB%E7%9A%84%E4%B9%98)
已知双曲线C:x^2/4减y^2=1,P为C上的任意点(1)求证:点P到双曲线C的两条渐近线的距离的乘积是一个常数(2...已知双曲线C:x^2/4减y^2=1,P为C上的任意点(1)求证:点P到双曲线C的两条渐近线的距离的乘
已知双曲线C:x^2/4减y^2=1,P为C上的任意点(1)求证:点P到双曲线C的两条渐近线的距离的乘积是一个常数(2...
已知双曲线C:x^2/4减y^2=1,P为C上的任意点(1)求证:点P到双曲线C的两条渐近线的距离的乘积是一个常数(2)设点A的坐标为(3,0),求|PA|的最小值 急
已知双曲线C:x^2/4减y^2=1,P为C上的任意点(1)求证:点P到双曲线C的两条渐近线的距离的乘积是一个常数(2...已知双曲线C:x^2/4减y^2=1,P为C上的任意点(1)求证:点P到双曲线C的两条渐近线的距离的乘
(1)渐近线为X土2y=0,点(X,y)到它们分别为:lx土2yI/(1平方+2平方)的平方根.乘起来(X平方-(2y)平方)/5.而由原解析式可得X平方-(2y)平方为4.故定值4/5 (2)转化成到右准线的距离可知P为右顶点(2,O)时lPA|最小,为1