A,B两城相距600千米,甲、乙两车同时从A城出发驶向B城,甲车到达B

AB两城相距600千米,甲、乙两车同时从A城出发驶向B城,甲车到达B城后立即返回.如图是它们离A城的距离y(千米)与行驶时间 x(小时)之间的函数图象.

1)求甲车行驶过程中yx之间的函数解析式,并写出自变量x的取值范围;

2)当它们行驶了7小时时,两车相遇,求乙车的速度及乙车行驶过程中yx之间的函数解析式,并写出自变量x的取值范围;

3)当两车相距100千米时,求甲车行驶的时间.

答案

1=.

2x=7时,y=525, ∴(千米/小时)=75x(0x8).

(3)设两车之间的距离为W(千米),则Wx之间的函数关系式为:

W=,当W=100时,求得x=4.故甲车行驶的时间为4小时或小时或小时.

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