问题 解答题
已知,x、y满足x=
y-2x
x+y
-
2x-y
x+y
+1
,求(x+y)+(x2+2y)+(x3+3y)+…+(x199+199y)的值.
答案

y-2x
x+y
≥0且
2x-y
x+y
≥0

∴y-2x=0,

∴x=1,y=2;

(x+y)+(x2+2y)+(x3+3y)+…+(x199+199y),

=(1+2)+(1+4)+(1+6)+…+(1+398),

=3+5+7+…+399,

=

(3+399)×199
2

=39999.

单项选择题 A1/A2型题
单项选择题