一道初中数学题(在线等)(要有详细解答过程!!!!)满意的追加

2024-11-05 07:53:43
推荐回答(5个)
回答1:

1)设动点A的速度是x单位长度/秒,那么动点B的速度是4x单位长度/秒,然后根据3秒后,两点相距15个单位长度即可列出方程解决问题;
(2)设x秒时,原点恰好处在两个动点的正中间,那么A运动的长度为x,B运动的长度为4x,然后根据(1)的结果和已知条件即可列出方程解题.解答:解:(1)设动点A的速度是x单位长度/秒,
根据题意得3(x+4x)=15
∴15x=15
解得:x=1,
则4x=4.
答:动点A的速度是1单位长度/秒,动点B的速度是4单位长度/秒;
(2)设x秒时,原点恰好处在两个动点的正中间,
根据题意得:3+x=12-4x
∴5x=9
∴x=
答: 秒时,原点恰好处在两个动点的正中间.

回答2:

解:(1)设动点A速度为X单位每秒,则动点B的速度为4X单位每秒
所以 X*3+4X*3=15
X=1
3*X=3 3*4*X=12
答: A速度为1个单位每秒,B的速度为4个单位每秒,A(-3,0)B(12,0)
(2) 1 0 2*(3+t+2t)=12-4t-2t t=0.5
2 2 2t-(12-4t)=2t+3+t t=5 (不成立,舍去)
3 t>3
4t-12+2t=2t+t+3 t=5
答:当t=0.5 或t=5时成立
(3)设B用a秒追上A
15+3a=4a a=15
所以长度为 15*20=300

回答3:

(1)相同时间内,AB两点运动距离比应与速度比相同。
即AB运动距离比为1:4。
所以A(-3,0),B(12,0)。
又因为运动了三秒,所以A的速度为1个单位长度/秒,B为4个/秒

(2)点C到A距离可以表示为2t+(t+3)
点C到B距离可以表示为:
(-4t+12)-2t,0≤t≤2.(点C在点B左侧时)
2t-(-4t+12),t≥2.(点C在点B右侧时)
分类讨论:
1、当0≤t≤2时,
依题设可得方程-2t-4t+12=2(2t+t+3)
解得t=1/2.符合题设
2、当t≥2时,
依题设可得方程2t+4t-12=2(2t+t+3)
方程无解。
∴t=1/2

(3)点C运动距离可以表示为点C的运动速度×运动时间。
运动时间即AB相遇时间=15/(4-1)=5.
∴点C运动距离为20×5=100

回答4:

解:(1)设A点运动速度为x单位长度/秒,则B点运动速度为4x单位长度/秒.
由题意得:3x+3×4x=15
解得:x=1
∴A点的运动速度是1单位长度/秒,B点的速度是4单位长度/秒;

(2)设y秒后,原点恰好处在A、B的正中间.
由题意得:y+3=12-4y
解得:
答:经过 秒后,原点恰处在A、B的正中间;
(3)设B追上A需时间z秒,则:
4×z-1×z=2×( +3)
解得: ,
=64
答:C点行驶的路程是64长度单位.
点评:解题关键是要读懂题目的意思,根据题目给出的条件,找出合适的等量关系,列出方程,再求解.

回答5:

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