已知圆(x-3)²+(y-4)²=16,直线l:kx-y-k=0,若l与圆交与两个不同点P,Q,求实数k的取值范围
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![已知圆(x-3)²+(y-4)²=16,直线l:kx-y-k=0,若l与圆交与两个不同点P,Q,求实数k的取值范围](/uploads/image/z/4326058-10-8.jpg?t=%E5%B7%B2%E7%9F%A5%E5%9C%86%EF%BC%88x-3%EF%BC%89%26%23178%3B%2B%EF%BC%88y-4%EF%BC%89%26%23178%3B%3D16%2C%E7%9B%B4%E7%BA%BFl%3Akx-y-k%3D0%2C%E8%8B%A5l%E4%B8%8E%E5%9C%86%E4%BA%A4%E4%B8%8E%E4%B8%A4%E4%B8%AA%E4%B8%8D%E5%90%8C%E7%82%B9P%2CQ%2C%E6%B1%82%E5%AE%9E%E6%95%B0k%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4)
已知圆(x-3)²+(y-4)²=16,直线l:kx-y-k=0,若l与圆交与两个不同点P,Q,求实数k的取值范围
已知圆(x-3)²+(y-4)²=16,直线l:kx-y-k=0,若l与圆交与两个不同点P,Q,求实数k的取值范围
已知圆(x-3)²+(y-4)²=16,直线l:kx-y-k=0,若l与圆交与两个不同点P,Q,求实数k的取值范围
直线和园相交
所以圆心到直线距离小于半径
所以|3k-4-k|/√(k²+1)
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