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代入园C的方程得:(x-2)²+3(x-1)²=4;化简得:4x²-10x+3=0;
设P₁(x₁,y₁),P₂(x₂,y₂);则x₁+x₂=5/2;x₁x₂=3/4;y₁+y₂=(√3)(x₁+x₂)-2√3=(1/2)√3;
故P₁P₂中点M的坐标为(5/4,(1/4)√3);直线L的斜率k=√3,故与其垂直的直线的斜率k₁
=-1/√3=-(√3)/3;∴过M且⊥L的直线方程为:y=-(√3/3)(x-5/4)+(1/4)√3=-(√3/3)x+(2/3)√3
写成一般式就是:(√3)x-3y-2√3=0
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