1.设集合A={X|-3≤x≤2},B={x|2k-1≤x≤2k+1},且A不包含B,则实数k的取值范围是?
∵ A不包含B ∴ 2k+1>2或2k-1k>1/2或k-1),则f(f(-2))=_0___;f(x)=3,则x=_√3____.
f(-2)=0,f(f(-2))=f(0)=0^2=0;f(x)=3,x>-1时,x^2=3==>x=√3 ;[x=2√[4(x-5)·9/(x-5)]+20=32
4(x-5)=9/(x-5)(x-5)²=9/4,x=13/2 取等
x=13/2时 f(x)取得最小值是32
6.已知x>0,y>0,(1/x)+(1/y)=1,则xy的最小值为多少?
1=1/x+1/y>=2√(1/xy)xy≥4 最小值为4(x=y=1/2时取等)
7.设00)和x^2(x≤0),则满足f(a)>1的a的取值范围是多少?
x>0,且 log2x>1 ==>x>2
x1 x2或a1,若f(x)=2,则x=_log(3) 2___.
x≤1,3^x=2 ==> x =log(3底) 2
10.已知
f(x)= x^2,x>0和 f(x+1),x≤0,则f(3)=9
f(-3)=f(-2)=f(-1)=f(0)=f(1)=1
f(3)+f(-3)的值为10