互不相等且全不为零的三个数a,b,c,满足3a+2b/2a-3b=3b+c/2b-2c=2c-4a/c-a且5a≠2b+9c,求a+2b+3c/5a-2b-9c.
人气:434 ℃ 时间:2020-06-02 05:25:35
解答
令k1(2a-3b)+k2(2b-2c)+k3(c-a)=5a-2b-9c,解出k1=6,k2=8,k3=7令3a+2b/2a-3b=3b+c/2b-2c=2c-4a/c-a=k设所求式子=n则5a-2b-9c=(a+2b+3c)/n则k1(3a+2b)+k2(3b+c)+k3(2c-4a)=k(5a-2b-9c)=k/n(a+2b+3c)-10a+36b+22c=k/n(...
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