问题 填空题
已知x=
2
-1
2
+1
, y=
2
+1
2
-1
,则x2-xy+y2=______.
答案

x=

2
-1
2
+1
=(
2
-1)2=3-2
2

y=

2
+1
2
-1
=(
2
+1)2=3+2
2

x2-xy+y2

=(3-2

2
2-
2
-1
2
+1
2
+1
2
-1
+(3+2
2
2

=17-12

2
-1+17+12
2

=34-1

=33.

单项选择题
单项选择题