问题
填空题
设0<x<1,化简(
|
答案
原式=(
+1+x
-1+x 1-x
)(1-x
-1+x 1-x
-1-x2 x
)1 x
=
•
+1+x 1-x
-1+x 1-x
-11-x2 x
=
•(
+1+x
)21-x (1+x)-(1-x)
-11-x2 x
=
•2+2 1-x2 2x
-11-x2 x
=(1-x2)-1 x2
=-1.
故本题答案为-1.
设0<x<1,化简(
|
原式=(
+1+x
-1+x 1-x
)(1-x
-1+x 1-x
-1-x2 x
)1 x
=
•
+1+x 1-x
-1+x 1-x
-11-x2 x
=
•(
+1+x
)21-x (1+x)-(1-x)
-11-x2 x
=
•2+2 1-x2 2x
-11-x2 x
=(1-x2)-1 x2
=-1.
故本题答案为-1.