3/(a+b)=a/(b+c)=b/(a+c)=k,求k的值.急需!要有解题步骤!!
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3/(a+b)=a/(b+c)=b/(a+c)=k,求k的值.急需!要有解题步骤!!
3/(a+b)=a/(b+c)=b/(a+c)=k,求k的值.
急需!
要有解题步骤!!
3/(a+b)=a/(b+c)=b/(a+c)=k,求k的值.急需!要有解题步骤!!
由后面两个等号得:
a=kb+kc
b=ka+kc
上面两式相减得:
a-b=k(b-a)
(a-b)(1+k)=0
所以:a-b=0或1+k=0
由a=b得:k=0.5
由k=-1得c=3,a+b=-3且a、b不等于0.
答:k为0.5或-1
3a+3b=ab+ac=ab+bc可以知道a=b,可以得出6a=a*a+ac=a*a+ac,所以a+c=6,k=6a
0.5