已知点E(m,n)为抛物线y^2=2px(p>0)内一定点,过E作斜率分别为k1,k2的两条直线交抛物线于A,B,C,D,且M,N分别是线段AB,CD的中点.1)n=0 k1*k2=-1求三角形EMN的面积最小值.2)若k1+k2=λ(λ≠0,λ为常数),证明
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![已知点E(m,n)为抛物线y^2=2px(p>0)内一定点,过E作斜率分别为k1,k2的两条直线交抛物线于A,B,C,D,且M,N分别是线段AB,CD的中点.1)n=0 k1*k2=-1求三角形EMN的面积最小值.2)若k1+k2=λ(λ≠0,λ为常数),证明](/uploads/image/z/12781843-43-3.jpg?t=%E5%B7%B2%E7%9F%A5%E7%82%B9E%28m%2Cn%29%E4%B8%BA%E6%8A%9B%E7%89%A9%E7%BA%BFy%5E2%3D2px%28p%3E0%29%E5%86%85%E4%B8%80%E5%AE%9A%E7%82%B9%2C%E8%BF%87E%E4%BD%9C%E6%96%9C%E7%8E%87%E5%88%86%E5%88%AB%E4%B8%BAk1%2Ck2%E7%9A%84%E4%B8%A4%E6%9D%A1%E7%9B%B4%E7%BA%BF%E4%BA%A4%E6%8A%9B%E7%89%A9%E7%BA%BF%E4%BA%8EA%2CB%2CC%2CD%2C%E4%B8%94M%2CN%E5%88%86%E5%88%AB%E6%98%AF%E7%BA%BF%E6%AE%B5AB%2CCD%E7%9A%84%E4%B8%AD%E7%82%B9.1%EF%BC%89n%3D0+k1%2Ak2%3D-1%E6%B1%82%E4%B8%89%E8%A7%92%E5%BD%A2EMN%E7%9A%84%E9%9D%A2%E7%A7%AF%E6%9C%80%E5%B0%8F%E5%80%BC.2%EF%BC%89%E8%8B%A5k1%2Bk2%3D%CE%BB%EF%BC%88%CE%BB%E2%89%A00%2C%CE%BB%E4%B8%BA%E5%B8%B8%E6%95%B0%EF%BC%89%2C%E8%AF%81%E6%98%8E)
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