设A.B.C为三角形的三内角,且方程(sinB-sinA)X^2+(sinA-sinC)X+(sinC-sinB)=0有等根,那么角B角B 是否能等于60°,等于60°时,题中等根不是相冲突么?当B为60度时,易得 A=B=C,即方程有无数解,但为什么答案
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![设A.B.C为三角形的三内角,且方程(sinB-sinA)X^2+(sinA-sinC)X+(sinC-sinB)=0有等根,那么角B角B 是否能等于60°,等于60°时,题中等根不是相冲突么?当B为60度时,易得 A=B=C,即方程有无数解,但为什么答案](/uploads/image/z/7829963-35-3.jpg?t=%E8%AE%BEA.B.C%E4%B8%BA%E4%B8%89%E8%A7%92%E5%BD%A2%E7%9A%84%E4%B8%89%E5%86%85%E8%A7%92%2C%E4%B8%94%E6%96%B9%E7%A8%8B%28sinB-sinA%29X%5E2%2B%28sinA-sinC%29X%2B%28sinC-sinB%29%3D0%E6%9C%89%E7%AD%89%E6%A0%B9%2C%E9%82%A3%E4%B9%88%E8%A7%92B%E8%A7%92B+%E6%98%AF%E5%90%A6%E8%83%BD%E7%AD%89%E4%BA%8E60%C2%B0%2C%E7%AD%89%E4%BA%8E60%C2%B0%E6%97%B6%2C%E9%A2%98%E4%B8%AD%E7%AD%89%E6%A0%B9%E4%B8%8D%E6%98%AF%E7%9B%B8%E5%86%B2%E7%AA%81%E4%B9%88%3F%E5%BD%93B%E4%B8%BA60%E5%BA%A6%E6%97%B6%EF%BC%8C%E6%98%93%E5%BE%97+A%3DB%3DC%EF%BC%8C%E5%8D%B3%E6%96%B9%E7%A8%8B%E6%9C%89%E6%97%A0%E6%95%B0%E8%A7%A3%EF%BC%8C%E4%BD%86%E4%B8%BA%E4%BB%80%E4%B9%88%E7%AD%94%E6%A1%88)
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