椭圆中心在原点,焦点在坐标轴上,与P(1,2)且K=-2的直线L相交所得弦恰好被P平分,求离心率我的过程是这样子的.设A(X1,Y1),B(X2,Y2),椭圆:x^2/a^2+y^2/b^2=1L:Y=-2X+4因为P平分x1+x2=2y1+y2=4点插法:b^2*x1^2+a^
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![椭圆中心在原点,焦点在坐标轴上,与P(1,2)且K=-2的直线L相交所得弦恰好被P平分,求离心率我的过程是这样子的.设A(X1,Y1),B(X2,Y2),椭圆:x^2/a^2+y^2/b^2=1L:Y=-2X+4因为P平分x1+x2=2y1+y2=4点插法:b^2*x1^2+a^](/uploads/image/z/5632053-69-3.jpg?t=%E6%A4%AD%E5%9C%86%E4%B8%AD%E5%BF%83%E5%9C%A8%E5%8E%9F%E7%82%B9%2C%E7%84%A6%E7%82%B9%E5%9C%A8%E5%9D%90%E6%A0%87%E8%BD%B4%E4%B8%8A%2C%E4%B8%8EP%EF%BC%881%2C2%EF%BC%89%E4%B8%94K%3D-2%E7%9A%84%E7%9B%B4%E7%BA%BFL%E7%9B%B8%E4%BA%A4%E6%89%80%E5%BE%97%E5%BC%A6%E6%81%B0%E5%A5%BD%E8%A2%ABP%E5%B9%B3%E5%88%86%2C%E6%B1%82%E7%A6%BB%E5%BF%83%E7%8E%87%E6%88%91%E7%9A%84%E8%BF%87%E7%A8%8B%E6%98%AF%E8%BF%99%E6%A0%B7%E5%AD%90%E7%9A%84.%E8%AE%BEA%28X1%2CY1%29%2CB%28X2%2CY2%29%2C%E6%A4%AD%E5%9C%86%EF%BC%9Ax%5E2%2Fa%5E2%2By%5E2%2Fb%5E2%3D1L%3AY%3D-2X%2B4%E5%9B%A0%E4%B8%BAP%E5%B9%B3%E5%88%86x1%2Bx2%3D2y1%2By2%3D4%E7%82%B9%E6%8F%92%E6%B3%95%3Ab%5E2%2Ax1%5E2%2Ba%5E)
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