若方程(c²+a²)x+2(b²-c²)x+c²-b²=0有两个相等的实数根,且a,b,c是三角形ABC的三边,证明此三角形是等腰
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![若方程(c²+a²)x+2(b²-c²)x+c²-b²=0有两个相等的实数根,且a,b,c是三角形ABC的三边,证明此三角形是等腰](/uploads/image/z/8624305-1-5.jpg?t=%E8%8B%A5%E6%96%B9%E7%A8%8B%EF%BC%88c%26%23178%3B%2Ba%26%23178%3B%EF%BC%89x%2B2%EF%BC%88b%26%23178%3B-c%26%23178%3B%EF%BC%89x%2Bc%26%23178%3B-b%26%23178%3B%3D0%E6%9C%89%E4%B8%A4%E4%B8%AA%E7%9B%B8%E7%AD%89%E7%9A%84%E5%AE%9E%E6%95%B0%E6%A0%B9%2C%E4%B8%94a%2Cb%2Cc%E6%98%AF%E4%B8%89%E8%A7%92%E5%BD%A2ABC%E7%9A%84%E4%B8%89%E8%BE%B9%2C%E8%AF%81%E6%98%8E%E6%AD%A4%E4%B8%89%E8%A7%92%E5%BD%A2%E6%98%AF%E7%AD%89%E8%85%B0)
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若方程(c²+a²)x+2(b²-c²)x+c²-b²=0有两个相等的实数根,且a,b,c是三角形ABC的三边,证明此三角形是等腰
若方程(c²+a²)x+2(b²-c²)x+c²-b²=0有两个相等的实数根,
且a,b,c是三角形ABC的三边,证明此三角形是等腰
若方程(c²+a²)x+2(b²-c²)x+c²-b²=0有两个相等的实数根,且a,b,c是三角形ABC的三边,证明此三角形是等腰