例如:考查代數(shù)式的值與0的大小 查看更多

 

題目列表(包括答案和解析)

29、閱讀下列內(nèi)容后,解答下列各題:幾個(gè)不等于0的數(shù)相乘,積的符號(hào)由負(fù)因數(shù)的個(gè)數(shù)決定.
例如:考查代數(shù)式(x-1)(x-2)的值與0的大小
當(dāng)x<1時(shí),x-1<0,x-2<0,∴(x-1)(x-2)>0
當(dāng)1<x<2時(shí),x-1>0,x-2<0,∴(x-1)(x-2)<0
當(dāng)x>2時(shí),x-1>0,x-2>0,∴(x-1)(x-2)>0
綜上:當(dāng)1<x<2時(shí),(x-1)(x-2)<0
當(dāng)x<1或x>2時(shí),(x-1)(x-2)>0
(1)填寫下表:(用“+”或“-”填入空格處)
(2)由上表可知,當(dāng)x滿足
時(shí),(x+2)(x+1)(x-3)(x-4)<0;
(3)運(yùn)用你發(fā)現(xiàn)的規(guī)律,直接寫出當(dāng)x滿足
時(shí),(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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16、閱讀下列內(nèi)容后,解答下列各題:幾個(gè)不等于0的數(shù)相乘,積的符號(hào)由負(fù)因數(shù)的個(gè)數(shù)決定.
例如:考查代數(shù)式(x-1)(x-2)的值與0的大。
當(dāng)x<1時(shí),x-1<0,x-2<0,∴(x-1)(x-2)>0
當(dāng)1<x<2時(shí),x-1>0,x-2<0,∴(x-1)(x-2)<0
當(dāng)x>2時(shí),x-1>0,x-2>0,
綜上:當(dāng)1<x<2時(shí),(x-1)(x-2)<0;當(dāng)x<1或x>2時(shí),(x-1)(x-2)>0
閱讀下表:
x<-2 -2<x<-1 -1<x<3 x>3
x+2 - + + +
x+1 - - + +
x-3 - - - +
由表可知,當(dāng)x滿足
x<-2或-2<x<-1或-1<x<3
時(shí),(x+2)(x+1)(x-3)<0
運(yùn)用你發(fā)現(xiàn)的規(guī)律,寫出當(dāng)x滿足
-8<x<-6或7<x<9
時(shí),(x+6)(x-7)(x+8)(x-9)<0.

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閱讀下列內(nèi)容后,解答下列各題:幾個(gè)不等于0的數(shù)相乘,積的符號(hào)由負(fù)因數(shù)的個(gè)數(shù)決定.
例如:考查代數(shù)式(x-1)(x-2)的值與0的大小.
當(dāng)x<1時(shí),x-1<0,x-2<0,∴(x-1)(x-2)>0;當(dāng)1<x<2時(shí),x-1>0,x-2<0,∴(x-1)(x-2)<0;當(dāng)x>2時(shí),x-1>0,x-2>0,∴(x-1)(x-2)>0;綜上:當(dāng)1<x<2時(shí),(x-1)(x-2)<0;當(dāng)x<1或x>2時(shí),(x-1)(x-2)>0
(1)填寫下表:(用“+”或“-”填入空格處)
x<-2-2<x<-1-1<x<3
x+2x1=3,x2=-1C(-1,0)P(xp,yp
x+1-|yP|=5______
x-3x______yP=-5
(2)由上表可知,當(dāng)x滿足______時(shí),(x+2)(x+1)(x-3)<0.

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閱讀下列內(nèi)容后,解答下列各題:幾個(gè)不等于0的數(shù)相乘,積的符號(hào)由負(fù)因數(shù)的個(gè)數(shù)決定.
例如:考查代數(shù)式(x-1)(x-2)的值與0的大小
當(dāng)x<1時(shí),x-1<0,x-2<0,∴(x-1)(x-2)>0
當(dāng)1<x<2時(shí),x-1>0,x-2<0,∴(x-1)(x-2)<0
當(dāng)x>2時(shí),x-1>0,x-2>0,∴(x-1)(x-2)>0
綜上:當(dāng)1<x<2時(shí),(x-1)(x-2)<0
當(dāng)x<1或x>2時(shí),(x-1)(x-2)>0
(1)填寫下表:(用“+”或“-”填入空格處)
(2)由上表可知,當(dāng)x滿足時(shí),(x+2)(x+1)(x-3)(x-4)<0;
(3)運(yùn)用你發(fā)現(xiàn)的規(guī)律,直接寫出當(dāng)x滿足時(shí),(x-7)(x+8)(x-9)<0.
x<-2-2<x<-1-1<x<33<x<4x>4
x+2-++++
x+1--+++
x-3---++
x-4----+
(x+2)(x+1)(x-3)(x-4)+-

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閱讀下列內(nèi)容后,解答下列各題:幾個(gè)不等于0的數(shù)相乘,積的符號(hào)由負(fù)因數(shù)的個(gè)數(shù)決定.
例如:考查代數(shù)式(x-1)(x-2)的值與0的大小
當(dāng)x<1時(shí),x-1<0,x-2<0,∴(x-1)(x-2)>0
當(dāng)1<x<2時(shí),x-1>0,x-2<0,∴(x-1)(x-2)<0
當(dāng)x>2時(shí),x-1>0,x-2>0,∴(x-1)(x-2)>0
綜上:當(dāng)1<x<2時(shí),(x-1)(x-2)<0
當(dāng)x<1或x>2時(shí),(x-1)(x-2)>0
(1)填寫下表:(用“+”或“-”填入空格處)
(2)由上表可知,當(dāng)x滿足______時(shí),(x+2)(x+1)(x-3)(x-4)<0;
(3)運(yùn)用你發(fā)現(xiàn)的規(guī)律,直接寫出當(dāng)x滿足______時(shí),(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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