解:18分鐘 = (18/60)小時 = 0.3小時
設(shè)武廣高鐵長為x千米.
則根據(jù)題意列方程,得:
x/3 - x/(3+0.3) = 35
(3.3/3)x - x = 35*3.3
0.1x = 35*3.3
x = 35*33
x = 105*11
x = 1155
答:.
|a+4| +(b-1)²=0
又因為對一切實數(shù)a、b, |a+4|>=0 且(b-1)²>=0
所以|a+4| = (b-1)² =0
所以a=-4且b=1
|PA|+|PB|=5
|a-x| +|b-x| =5
|-4-x| +|1-x| =5
|x+4| + |x-1| =5
當(dāng)x<-4時,x+4<0 且x-1<0
此時,-(x+4) -(x-1) =5
x+4+x-1 = -5
2x = -5-3
x = -4 (x<-4)
所以當(dāng)x<-4時,原方程無解
當(dāng)-4<=x<=1時,x+4>=0 且x-1<=0
此時,(x+4) -(x-1) =5
x+4-x+1 = 5
5 = 5
此時方程恒成立
所以當(dāng)-4<=x<=1時,原方程恒成立
當(dāng)x>1時,x+4>1 且x-1>=0
此時,(x+4) +(x-1) =5
x+4+x-1 = 5
2x = 5-3
x = 1 (x>1)
所以當(dāng)x<-4時,原方程無解
綜上所述,當(dāng)|PA|+|PB|=5時,x可以是[-4,1]上的任意值
顯然當(dāng)P在A左側(cè)時,|PA| - |PB| =5
因為P在A左側(cè),所以 x<a 即x<-4
|PA| = |-4-x| = |x+4| = -(x+4) = -x-4
|PB| = |1-x| = 1-x
所以|PA|-|PB| = -x-4 -(1-x) = -x-4-1+x = -5 不變