已知a>0,b>0,c>0,a^2=b(b+c),b^2=c(a+c).求c/a+c/b的值.(正确答案是1)注:拜求各位“粘贴大神”,别再粘贴啦,俺真心想看看正确解答啊.~~~(>_
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![已知a>0,b>0,c>0,a^2=b(b+c),b^2=c(a+c).求c/a+c/b的值.(正确答案是1)注:拜求各位“粘贴大神”,别再粘贴啦,俺真心想看看正确解答啊.~~~(>_](/uploads/image/z/12297908-20-8.jpg?t=%E5%B7%B2%E7%9F%A5a%3E0%2Cb%3E0%2Cc%3E0%2Ca%5E2%3Db%28b%2Bc%29%2Cb%5E2%3Dc%28a%2Bc%29.%E6%B1%82c%2Fa%2Bc%2Fb%E7%9A%84%E5%80%BC.%EF%BC%88%E6%AD%A3%E7%A1%AE%E7%AD%94%E6%A1%88%E6%98%AF1%29%E6%B3%A8%EF%BC%9A%E6%8B%9C%E6%B1%82%E5%90%84%E4%BD%8D%E2%80%9C%E7%B2%98%E8%B4%B4%E5%A4%A7%E7%A5%9E%E2%80%9D%2C%E5%88%AB%E5%86%8D%E7%B2%98%E8%B4%B4%E5%95%A6%2C%E4%BF%BA%E7%9C%9F%E5%BF%83%E6%83%B3%E7%9C%8B%E7%9C%8B%E6%AD%A3%E7%A1%AE%E8%A7%A3%E7%AD%94%E5%95%8A.%7E%7E%7E%28%3E_)
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已知a>0,b>0,c>0,a^2=b(b+c),b^2=c(a+c).求c/a+c/b的值.(正确答案是1)注:拜求各位“粘贴大神”,别再粘贴啦,俺真心想看看正确解答啊.~~~(>_
已知a>0,b>0,c>0,a^2=b(b+c),b^2=c(a+c).求c/a+c/b的值.(正确答案是1)
注:拜求各位“粘贴大神”,别再粘贴啦,俺真心想看看正确解答啊.~~~(>_
已知a>0,b>0,c>0,a^2=b(b+c),b^2=c(a+c).求c/a+c/b的值.(正确答案是1)注:拜求各位“粘贴大神”,别再粘贴啦,俺真心想看看正确解答啊.~~~(>_
a²=b(b+c)
a²=b²+bc=c²+ac+bc
a²-c²=ac+bc
(a+c)(a-c)=c(a+b)
b²=c(a+c)
a+c=b²/c
b²/c*(a-c)=c(a+b)
b²(a-c)=c²(a+b)
(a+b)c²+b²c-ab²=0
a+b -ab
1 b
十字相乘法
[(a+b)c-ab](c+b)=0
b>0 c>0 b+c>0
所以(a+b)c-ab=0
(a+b)c=ab
ac+bc=ab
ac/ab+bc/ab=1
c/b+c/a=1