高等数学(上册)习题答案_吴赣昌_人民大学出版社_高数_理工类
x
x =x= f[f(x)]=f x≠1,x≠
x1 2x 1 x 1
1 x
x
x =xf{f[f(x)]}=f =
1 3x 1 2x 1 x
1 2x
xx1≠1,≠1 D: x≠1, x≠, x≠D: x≠1,1 x1 2x2
x
5f[ (x)]=1+cosx (x)=sinf(x)
2
12
13
(x)=t x= 1(t)
x
x (x)
1(t)t
f[ (x)]
(x)
(x)=t
x xx
f[ (x)]=f sin =1+cosx=2cos2=2 2sin2
2 22
sin
x x=t f(t)=2 2t2 t →f(x)=2 2x22
6
f(x)
[0,1]
fx2
()
f(x)
f(sinx)
f(x+a)+f(x a)
0<a
f
x)
2
[0,1]
f(A)
A∈[0,1]
x2∈[0,1] x∈[ 1,1]
sinx∈[0,1] x∈[0π]∪LL∪[2kπ, x+a∈[0,1] x∈[ a,1 a]
x a∈[0,1] x∈[+a,1+a]
(2k+1)π]L U[2kπ,(2k+1)π]
k∈Z
a<1 a0<a≤
1
2
[a,
1 a]
a≥
1
2
x2∈[0,1] x∈[ 1,1] 2
1 x≥0