若a>b>c求证:1/(a-b)+1/(b-c)>=4/(a-c) .....谁告诉下我..

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若a>b>c求证:1/(a-b)+1/(b-c)>=4/(a-c).....谁告诉下我..若a>b>c求证:1/(a-b)+1/(b-c)>=4/(a-c).....谁告诉下我..若a>b>c求证:1

若a>b>c求证:1/(a-b)+1/(b-c)>=4/(a-c) .....谁告诉下我..
若a>b>c求证:1/(a-b)+1/(b-c)>=4/(a-c) .....谁告诉下我..

若a>b>c求证:1/(a-b)+1/(b-c)>=4/(a-c) .....谁告诉下我..
原不等式等价于:
(a-c)/(a-b)+(a-c)/(b-c)≥4
即:(a-b+b-c)/(a-b)+(a-b+b-c)/(b-c)≥4
等价于:1+(b-c)/(a-b)+(a-b)/(b-c)+1≥4
即:(b-c)/(a-b)+(a-b)/(b-c)≥2
结论显然成立