初二分式化简求值(A-B)/(A+B)+(B-C)/(B+C)+(C-A)/(C+A)+(A-B)(B-C)(C-A)/(A+B)(B+C)(C+A) 拜托啦,急!还会追加分的!
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![初二分式化简求值(A-B)/(A+B)+(B-C)/(B+C)+(C-A)/(C+A)+(A-B)(B-C)(C-A)/(A+B)(B+C)(C+A) 拜托啦,急!还会追加分的!](/uploads/image/z/1076039-71-9.jpg?t=%E5%88%9D%E4%BA%8C%E5%88%86%E5%BC%8F%E5%8C%96%E7%AE%80%E6%B1%82%E5%80%BC%28A-B%29%2F%28A%2BB%29%2B%28B-C%29%2F%28B%2BC%29%2B%28C-A%29%2F%28C%2BA%29%2B%28A-B%29%28B-C%29%28C-A%29%2F%28A%2BB%29%28B%2BC%29%28C%2BA%29++++++++++++++++++++++++++++++++++++++++++++%E6%8B%9C%E6%89%98%E5%95%A6%2C%E6%80%A5%21%E8%BF%98%E4%BC%9A%E8%BF%BD%E5%8A%A0%E5%88%86%E7%9A%84%21)
初二分式化简求值(A-B)/(A+B)+(B-C)/(B+C)+(C-A)/(C+A)+(A-B)(B-C)(C-A)/(A+B)(B+C)(C+A) 拜托啦,急!还会追加分的!
初二分式化简求值
(A-B)/(A+B)+(B-C)/(B+C)+(C-A)/(C+A)+(A-B)(B-C)(C-A)/(A+B)(B+C)(C+A) 拜托啦,急!还会追加分的!
初二分式化简求值(A-B)/(A+B)+(B-C)/(B+C)+(C-A)/(C+A)+(A-B)(B-C)(C-A)/(A+B)(B+C)(C+A) 拜托啦,急!还会追加分的!
(a-b)/(a+b)+(b-c)/(b+c)+(c-a)/(c+a)+(a-b)(b-c)(c-a)/[(a+b)(b+c)(c+a)]=?
令:x=a+b,y=b+c,z=a+c
--->a-b=z-y,b-c=x-z,c-a=y-x
原式= (z-y)/x+(x-z)/y + (y-x)/z+(z-y)(x-z)(y-x)/(xyz)
= (yz-y²+x²-zx)/(xy) + (y-x)[xy+(z-y)(x-z)]/(xyz)
= (x-y)(x+y-z)/(xy) - (x-y)[xy+(zx-z²-xy+yz)]/(xyz)
= (x-y)(zx+yz-z²)/(xyz) - (x-y)(zx-z²+yz)/(xyz)
= 0