1/((x-1)*(x-2))+1/((x-2)*(x-3))+1/((x-3)*(x-4)).+1/((x+2006)
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/10/03 05:50:38
1/((x-1)*(x-2))+1/((x-2)*(x-3))+1/((x-3)*(x-4)).+1/((x+2006)*(x-2007))
很难,难于上青天!
提示:是(x-1)*(x-2)分之一加上.,.是省略号,有关分式加减的
很难,难于上青天!
提示:是(x-1)*(x-2)分之一加上.,.是省略号,有关分式加减的
1/(x-1)(x-2)=1/(x-2)-1/(x-1)
同理
1/(x-2)(x-3)=1/(x-3)-1/(x-2)
1/(x-3)(x-4)=1/(x-4)-1/(x-3)
.
1/(x-2006)(x-2007)=1/(x-2007)-1/(x-2006)
1/((x-1)*(x-2))+1/((x-2)*(x-3))+1/((x-3)*(x-4)).+1/((x+2006)*(x-2007))
=1/(x-2)-1/(x-1)+1/(x-3)-1/(x-2)+1/(x-4)-1/(x-3)+...
+1/(x-2007)-1/(x-2006)
=1/(x-2007)-1/(x-1)
=(x+2006)/(x-1)(x-2007)
同理
1/(x-2)(x-3)=1/(x-3)-1/(x-2)
1/(x-3)(x-4)=1/(x-4)-1/(x-3)
.
1/(x-2006)(x-2007)=1/(x-2007)-1/(x-2006)
1/((x-1)*(x-2))+1/((x-2)*(x-3))+1/((x-3)*(x-4)).+1/((x+2006)*(x-2007))
=1/(x-2)-1/(x-1)+1/(x-3)-1/(x-2)+1/(x-4)-1/(x-3)+...
+1/(x-2007)-1/(x-2006)
=1/(x-2007)-1/(x-1)
=(x+2006)/(x-1)(x-2007)
x+2/x+1-x+3/x+2-x+4/x+3+x+5/x+4
x^5+x^4 = (x^3-x)(x^2+x+1)+x^2+x
x^4+x^3+x^2+x+1=0,x^2006+x^2005+x^2004+x^2003+x^2002
|X-1|+|X-2|+|X-3|+|X-4|+|X-5|+|X-6|+|X-7|+|X-8|+|X-9|+|X-10|
x-1)(X-2)(x-3)...(x-50)+x(x-2)(X-3)...(X-50)+...+x(x-1)(x-2)
x(2-1/x)+x/(x^2-2x)÷(3-x)/(x^2-4)
1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)+...1/(x+2005)(x+2006)
1+x+x^2+x^3+.+x^99+x^100
|x^2-3x-4|>x+1
(x+1-1/1-x)÷(x-x²/x-1) (x-4/x-x-6+ x+2/x-3)÷x+1/x-3
若x^3+x^2+x+1=0,求代数式1+x+x^2+x^3+x^4+x^5+...+x^2006+x^2007的值
(x-1)^3(x+1)(x-2)/(x+4)