Question

当1≤x≤2时，经化简

x+2 x-1

+

x-2 x-1

等于______．

Answer 1

∵1≤x≤2，
∴

x+2 x-1

+

x-2 x-1

=

( x-1 +1)2

+

( x-1 -1)2

=

x-1

+1+1-

x-1

=2．
故答案为：2．