抛物线高中数学问题已知抛物线y2=4x的焦点为F,过点P(2,0)的直线交抛物线于A(x1,x2),B(x1,x2)俩点,直线AF,BF分别与抛物线交于点M,N.记直线MN的斜率为k1,直线AB的斜率为k2,证明:k1/k2为定值
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![抛物线高中数学问题已知抛物线y2=4x的焦点为F,过点P(2,0)的直线交抛物线于A(x1,x2),B(x1,x2)俩点,直线AF,BF分别与抛物线交于点M,N.记直线MN的斜率为k1,直线AB的斜率为k2,证明:k1/k2为定值](/uploads/image/z/3175973-53-3.jpg?t=%E6%8A%9B%E7%89%A9%E7%BA%BF%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E9%97%AE%E9%A2%98%E5%B7%B2%E7%9F%A5%E6%8A%9B%E7%89%A9%E7%BA%BFy2%3D4x%E7%9A%84%E7%84%A6%E7%82%B9%E4%B8%BAF%2C%E8%BF%87%E7%82%B9P%282%2C0%29%E7%9A%84%E7%9B%B4%E7%BA%BF%E4%BA%A4%E6%8A%9B%E7%89%A9%E7%BA%BF%E4%BA%8EA%28x1%2Cx2%29%2CB%28x1%2Cx2%29%E4%BF%A9%E7%82%B9%2C%E7%9B%B4%E7%BA%BFAF%2CBF%E5%88%86%E5%88%AB%E4%B8%8E%E6%8A%9B%E7%89%A9%E7%BA%BF%E4%BA%A4%E4%BA%8E%E7%82%B9M%2CN.%E8%AE%B0%E7%9B%B4%E7%BA%BFMN%E7%9A%84%E6%96%9C%E7%8E%87%E4%B8%BAk1%2C%E7%9B%B4%E7%BA%BFAB%E7%9A%84%E6%96%9C%E7%8E%87%E4%B8%BAk2%2C%E8%AF%81%E6%98%8E%3Ak1%2Fk2%E4%B8%BA%E5%AE%9A%E5%80%BC)
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