解析几何中求切线长最大值

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解析几何中求切线长最大值
(前略)E:(x^2)/4+y^2=1,设直线l与圆C:x^2+y^2=R^2(1

数学人气:528 ℃时间:2020-10-02 04:47:29
优质解答
设B(a,b)则AB:ax/4+yb=1设A(m,n)则AB:xm/R²+yn/R²=1且有a=4m/R²,b=n/R²得4m²+n²=R^4m²+n²=R²故|AB|²=(a-m)²+(b-n)²=R²+(16m²+n²)/R^4-...
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设B(a,b)则AB:ax/4+yb=1设A(m,n)则AB:xm/R²+yn/R²=1且有a=4m/R²,b=n/R²得4m²+n²=R^4m²+n²=R²故|AB|²=(a-m)²+(b-n)²=R²+(16m²+n²)/R^4-...