a+19=b+9=c+8 求(a+b)平方+(b-c)平方+(c-a)平方 a+19=b+9=c+8 (a+b)²+ (b-c)²+(c-a)² 这道题的值等于过少
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![a+19=b+9=c+8 求(a+b)平方+(b-c)平方+(c-a)平方 a+19=b+9=c+8 (a+b)²+ (b-c)²+(c-a)² 这道题的值等于过少](/uploads/image/z/394592-32-2.jpg?t=a%2B19%3Db%2B9%3Dc%2B8+%E6%B1%82%EF%BC%88a%2Bb%EF%BC%89%E5%B9%B3%E6%96%B9%2B%28b-c%29%E5%B9%B3%E6%96%B9%2B%28c-a%29%E5%B9%B3%E6%96%B9+a%2B19%3Db%2B9%3Dc%2B8+%28a%2Bb%29%26%23178%3B%2B+%28b-c%29%26%23178%3B%2B%28c-a%29%26%23178%3B+%E8%BF%99%E9%81%93%E9%A2%98%E7%9A%84%E5%80%BC%E7%AD%89%E4%BA%8E%E8%BF%87%E5%B0%91)
a+19=b+9=c+8 求(a+b)平方+(b-c)平方+(c-a)平方 a+19=b+9=c+8 (a+b)²+ (b-c)²+(c-a)² 这道题的值等于过少
a+19=b+9=c+8 求(a+b)平方+(b-c)平方+(c-a)平方
a+19=b+9=c+8 (a+b)²+ (b-c)²+(c-a)²
这道题的值等于过少
a+19=b+9=c+8 求(a+b)平方+(b-c)平方+(c-a)平方 a+19=b+9=c+8 (a+b)²+ (b-c)²+(c-a)² 这道题的值等于过少
题目出错了吧.
原题应该是:已知a+19=b+9=c+8 求 (a-b)²+ (b-c)²+(c-a)²
这道题的值等于多少?
因为a+19=b+9=c+8
所以a-b=-10,b-c=-1,c-a=11
所以(a-b)²+ (b-c)²+(c-a)² =100+1+121=222
∵a+19=b+9=c+8
∴a+11=b+1=c
∴a=c-11 b=c-1
∴(a+b)2+ (b-c)2+(c-a)2
=(c-11+c-1)2+ (c-1-c)2+(c-(c-11))2
=(c-11+c-1)2+ (c-1-c)2+(c-c+11)2
=(2c-12)2+ (-1)2+(11)2
=4c2+48c+266
因为a+19=b+9=c+8
所以a+11=b+1=c
所以a=c-11 b=c-1
所以(a+b)²+ (b-c)²+(c-a)²
=(c-11+c-1)²+ (c-1-c)²+(c-(c-11))²
=(c-11+c-1)²+ (c-1-c)²+(c-c+11)²
=(2c-12)²+ (-1)²+(11)²
=4c²+48c+266