已知点A在数轴上对应的数为a,点B对应的数为b,且|a+2|+(b-1)2次幂=0

2025年03月14日 18:51
有4个网友回答
网友(1):

解:(1)|a+2|+(b-1)2次幂=0所以||a+2|= (b-1)2次幂
|a+2|≥0 (b-1)2次幂≥0 所以|a+2|=0 (b-1)2次幂=0
a=-2 b=1 AB=3
(2)MA+MB=|t+2|+|t-1|
(3)x=2 设P点为c,由PA+PB=PC得|c+2|+|c-1|=|c-2|
由数轴知c<-2或-2<c<1 得c=-1

网友(2):

1)因为|a+2|=0 所以a=-2 因为(b-1)^2=0所以b=1(2)ta+tb=-t(3)2x-1=1/2x+2
x=2 所以c=2 PA+PB=PC -P=2P 因为任何数乘0都得0 所以P=0

网友(3):

1,由题意知a=-2,b=1所以AB=1-(-2)=3
2,分三种情况,(1)当t大于等于1时,MA+MB=t-(-2)+t-1=2t+1;(2)当t小于等于-2时,MA+MB=-2-t+1-t=-1-2t;(3)当t大于-2小于1时,MA+MB=t-(-2)+1-t=3.
3,解得x=2,对应点为-3

网友(4):

我是补充的 这道题的考点主要是非负性

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