弦长公式推导y1 - y2 = k(x1 - x2),两点间距离公式是|AB| = √[(x1 - x2)² + (y1 - y2)² ] ,我令|AB| = (√[(x1 - x2)² + (y1 - y2)² ] )/1,然后分子分母同除以(x1 - x2)²,然后推出的弦长公式是|AB|
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![弦长公式推导y1 - y2 = k(x1 - x2),两点间距离公式是|AB| = √[(x1 - x2)² + (y1 - y2)² ] ,我令|AB| = (√[(x1 - x2)² + (y1 - y2)² ] )/1,然后分子分母同除以(x1 - x2)²,然后推出的弦长公式是|AB|](/uploads/image/z/6072533-53-3.jpg?t=%E5%BC%A6%E9%95%BF%E5%85%AC%E5%BC%8F%E6%8E%A8%E5%AF%BCy1+-+y2+%3D+k%28x1+-+x2%29%2C%E4%B8%A4%E7%82%B9%E9%97%B4%E8%B7%9D%E7%A6%BB%E5%85%AC%E5%BC%8F%E6%98%AF%7CAB%7C+%3D+%E2%88%9A%5B%28x1+-+x2%29%26%23178%3B+%2B+%28y1+-+y2%29%26%23178%3B+%5D+%2C%E6%88%91%E4%BB%A4%7CAB%7C+%3D+%EF%BC%88%E2%88%9A%5B%28x1+-+x2%29%26%23178%3B+%2B+%28y1+-+y2%29%26%23178%3B+%5D+%EF%BC%89%2F1%2C%E7%84%B6%E5%90%8E%E5%88%86%E5%AD%90%E5%88%86%E6%AF%8D%E5%90%8C%E9%99%A4%E4%BB%A5%28x1+-+x2%29%26%23178%3B%2C%E7%84%B6%E5%90%8E%E6%8E%A8%E5%87%BA%E7%9A%84%E5%BC%A6%E9%95%BF%E5%85%AC%E5%BC%8F%E6%98%AF%7CAB%7C)
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弦长公式推导y1 - y2 = k(x1 - x2),两点间距离公式是|AB| = √[(x1 - x2)² + (y1 - y2)² ] ,我令|AB| = (√[(x1 - x2)² + (y1 - y2)² ] )/1,然后分子分母同除以(x1 - x2)²,然后推出的弦长公式是|AB|
弦长公式推导
y1 - y2 = k(x1 - x2),两点间距离公式是|AB| = √[(x1 - x2)² + (y1 - y2)² ] ,我令|AB| = (√[(x1 - x2)² + (y1 - y2)² ] )/1,然后分子分母同除以(x1 - x2)²,然后推出的弦长公式是|AB| =( √(1 + k²))/|x1 - x2|,请问我推导的有错么?
弦长公式推导y1 - y2 = k(x1 - x2),两点间距离公式是|AB| = √[(x1 - x2)² + (y1 - y2)² ] ,我令|AB| = (√[(x1 - x2)² + (y1 - y2)² ] )/1,然后分子分母同除以(x1 - x2)²,然后推出的弦长公式是|AB|
你这个指的是一次函数(直线)的弦长吧?
那就没问题,只是要考虑下K不存在即直线垂直于X轴的情况,此时弦长=|Y1-Y2|