｜x1｜+｜x2｜≥｜x1-x2｜
｜x2｜+｜x3｜≥｜x2-x3｜
｜x3｜+｜x4｜≥｜x3-x4｜
……
……
｜x2009｜+｜x2010｜≥｜x2009-x2010｜
｜x2010｜+｜x1｜≥｜x2010-x1｜
2（｜x1｜+｜x2｜+...+｜x2010｜）=左边之和≥｜x1-x2｜+｜x2-x3｜+...+｜x2010-x1｜=1
｜x1｜+｜x2｜+...+｜x2010｜之最小值=1/2
x1,x2,...x2010为相异实数,若｜x1-x2｜+｜x2-x3｜+...+｜x2010-x1｜=1,则｜x1｜+
1个回答
相关问题
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2010x/1+2 + 2010x/ 1+2+3 + 2010x/1+2+3+4 + 2010x/1+2+.2010=2
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X1·X2·X3···X2010=1,且X1,X2,···X2010都是正数.（1+X1）（1+X2）····（1+X2
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若(1-3X）^2010=a0+a1X+a2X^2+.+a2010X^2010,则a1/3+a2/3^2+.+a2010
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解方程-1/X(X+1)+1/(X+1)(X+2)+.+1/(X+2009)(X+2010)+1/x+2010=2010
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若f(x)=(x-1)(x-2)...(x-2010)(x-2011),则f'(1)=
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x/1x2+x/2x3+.+x/2010x2011=2010
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x/1x2+x/2x3+x/3x4+.x/2010x2011=2010
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f(x)=(x-1)(x-2)(x-3).(x-2010),则f(2010)的导数=?
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x1x2x3.x2011=1x1-x2x3.x2011=1x1x2-x3x4.x2011=1.x1x2.x2010-x2
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1/1x2+1/2x3+.1/2010x2011=?