已知|x1-1|+|x2-2|+|x3-3|+...+|x2010-2011|=0,试求代数式2x1-2x2-2x3-…-2x2010+2x2011的值
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![已知|x1-1|+|x2-2|+|x3-3|+...+|x2010-2011|=0,试求代数式2x1-2x2-2x3-…-2x2010+2x2011的值](/uploads/image/z/5172217-25-7.jpg?t=%E5%B7%B2%E7%9F%A5%7Cx1-1%7C%2B%7Cx2-2%7C%2B%7Cx3-3%7C%2B...%2B%7Cx2010-2011%7C%3D0%2C%E8%AF%95%E6%B1%82%E4%BB%A3%E6%95%B0%E5%BC%8F2x1-2x2-2x3-%E2%80%A6-2x2010%2B2x2011%E7%9A%84%E5%80%BC)
已知|x1-1|+|x2-2|+|x3-3|+...+|x2010-2011|=0,试求代数式2x1-2x2-2x3-…-2x2010+2x2011的值
已知|x1-1|+|x2-2|+|x3-3|+...+|x2010-2011|=0,试求代数式2x1-2x2-2x3-…-2x2010+2x2011的值
已知|x1-1|+|x2-2|+|x3-3|+...+|x2010-2011|=0,试求代数式2x1-2x2-2x3-…-2x2010+2x2011的值
|x1-1|+|x2-2|+|x3-3|+...+|x2011-2011|=0
得x1-1=x2-2=x3-3=.=x2011-2011=0
故xi=i(1≤i≤2011,i∈Z)
2x1-2x2-2x3-…-2x2010+2x2011
=2(x1+x2011)-2(x2+x3+...+2010)
=4024-2×(2+2010)×2009/2
=4024-2011×2009
=-4 036 075