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阅读下列内容后,解答下列各题:几个不等于0的数相乘,积的符号由负因数的个数决定. 例如:考查代数式(x-1)(x-2)的值与0的大小 当x<1时,x-1<0,x-2<0,∴(x-1)(x-2)>0 当1<x<2时,x-1>0,x-2<0,∴(x-1)(x-2)<0 当x>2时,x-1>0,x-2>0,∴(x-1)(x-2)>0 综上:当1<x<2时,(x-1)(x-2)<0 当x<1或x>2时,(x-1)(x-2)>0 (1)填写下表:(用“+”或“-”填入空格处) (2)由上表可知,当x满足______时,(x+2)(x+1)(x-3)(x-4)<0; (3)运用你发现的规律,直接写出当x满足______时,(x-7)(x+8)(x-9)<0. x<-2 -2<x<-1 -1<x<3 3<x<4 x>4 x+2 - + + + + x+1 - - + + + x-3 - - - + + x-4 - - - - + (x+2)(x+1)(x-3)(x-4) + -
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