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已知函数f(x)是定义在R上的奇函数,当x<0时,f(x)=ex(x+1),给出...
已知函数f(x)是定义在R上的奇函数,当x<0时,f(x)=ex(x+1),给出下列命题:
①当x>0时,f(x)=ex(1-x);
②f(x)>0的解集为(-1,0)∪(1,+∞);
③函数f(x)有2个零点;
④∀x1,x2∈R,都有|f(x1)-f(x2)|<2,
其中正确命题的个数是( )
A.1
B.2
C.3
D.4
考点分析:
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