问题
填空题
已知-1<a<0,化简
|
答案
因为-1<a<0,所以
<-1<a,即a-1 a
>0,且a+1 a
<0.1 a
+(a+
)2-41 a
,(a-
)2+41 a
=
+a2-2+ 1 a2
,a2+2+ 1 a2
=
+(a-
)2 1 a
,(a+
)21 a
=a-
-(a+1 a
),1 a
=-
.2 a
故答案为:-
.2 a
已知-1<a<0,化简
|
因为-1<a<0,所以
<-1<a,即a-1 a
>0,且a+1 a
<0.1 a
+(a+
)2-41 a
,(a-
)2+41 a
=
+a2-2+ 1 a2
,a2+2+ 1 a2
=
+(a-
)2 1 a
,(a+
)21 a
=a-
-(a+1 a
),1 a
=-
.2 a
故答案为:-
.2 a