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【329353】《可化为一元一次方程的分式方程》综合练习1

时间:2025-01-21 12:58:04 作者: 字数:4428字
简介:

3.7 可化为一元一次方程的分式方程

一、选择题

1.函数y= <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 中自变量x的取值范围是( ).

A.x≠-1 B.x>-1 C.x≠1 D.x≠0

2.若分式 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 的值为零,x的值为( ).

A.3 B.3-3 C.-3 D.0

3.若分式 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 的值为零,x等于( ).

A.0 B.1 C.  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> D.-1

4.化简 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 的结果是( ).

A.  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> B.  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> C.  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> D.a+b

5.当分式 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 的值为零时,x的值为( ).

A.0 B.3 C.-3 D.±3

6.化简 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 的结果是( )

A.  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> B.- <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> C.  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> D.  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

7.化简 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> + <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 的结果是( )

A.  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> B.  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> C.  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> D.  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

8.下面计算正确的是( )

A.  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> B.  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

C.  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> D.  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

9.暑假期间,红星中学“启明文学社”的全体同学包租一辆面包车前去某景点游览,面包车的租价为180元.出发时又增加了两名同学,结果每个同学比原来少摊了3元车费.若设“启明文学社”有x人,则所列方程为( )

A. <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> B. <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

C. <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> D. <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

10、当x=_____时, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 的值与 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 的值相等。

A.1   B.4   C.5   D.0

11、如果 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 的值为0,那么代数式 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>x的值为( )

A.1   B.0   C.1  D.±1

12、在数学活动课中老师出了这样一道题目让同学们讨论:现有铁丝重m1克,铜丝重m2克,铁丝、铜丝的截面半径分别为r1cmr2 cm,不用直接测量长度,分别计算它们的长度(铁的密度为7.8g/cm3,铜的密度为8.9g/cm3)正确的回答是( )

A.铁丝为  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> cm 铜丝为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> cm

B.铁丝为  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> cm 铜丝为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> cm

C.铁丝为  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> cm 铜丝为  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> cm

D.铁丝为  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> cm 铜丝为  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> cm

二、填空题

1.若分式 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 的值为零,x=________.

2.x=______,分式 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 的值为1.

3.已知a+ <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> =3,a2+ <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> =_______.

4.已知a2-6a+9与│b-1│互为相反数,则式子( <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> )÷(a+b)的值为____.

5.已知 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> ,则分式 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 的值为________.

6、关于x的分式方程 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 有增根,则a=_______


三、解答题

1.已知x= <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> +1,求代数式 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 的值.







2.如图,小明家、王老师家、学校在同一条路上,小明家到王老师家的路程为3km,王老师家到学校的路程为0.5km,由于小明的父母战斗在抗“非典”第一线,为了使他能按照到校,王老师每天骑自行车接小明上学.已知王老师骑自行车的速度是步行速度的3,每天比平时步行上班多用了20min,问王老师的步行速度及骑自行车速度各是多少?

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

3. <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> ,试求AB的值.





4.关于x的方程 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 会产生增根,求k的值





5.在“汶川地震”捐款活动中,某同学对甲、乙两班捐款情况进行了统计:甲班捐款人数比乙班捐款人数多3人,甲班共捐款2400元,乙班共捐款1800元,乙班平均每人捐款的钱数是甲班平均每人捐款钱数的 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 倍.求甲、乙两班各有多少人捐款?







6.在某年春运期间,我国南方出现大范围冰雪灾害,导致某地电路断电.该地供电局组织电工进行抢修.供电局距离抢修工地15千米.抢修车装载着所需材料先从供电局出发,15分钟后,电工乘吉昔车从同一地点出发,结果他们同时到达抢修工地.已知吉普车速度是抢修车速度的1.5倍,求这两种车的速度。

参考答案

一、1.A 2.C 3.D 4.A 5.B 6.B 7.B 8.A 9.C 10.A 11.B 12.A

二、1.3 2.1 3.7 4.  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 5.  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 6. a=-3

三、1.  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 2.设王老师的步行速度为xkm/h,则骑自行车速度为3xkm/h.

依题意, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> .

解得x=5,

经检验:x=5是所列方程的解,

3x=3×5=15.

:王老师的步行速度及骑自行车速度分别为5km/h15km/h.

3.A=3,B=2.4.k=3

5. 解法一:设乙班有 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 人捐款,则甲班有 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 人捐款.

根据题意得:

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

解这个方程得 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

经检验 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 是所列方程的根.

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> (人)

答:甲班有48人捐款,乙班有45人捐款.

解法二:设甲班有 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 人捐款,则乙班有 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 人捐款.

根据题意得:

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

解这个方程得 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a>

经检验 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 是所列方程的根.

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> (人)

答:甲班有48人捐款,乙班有45人捐款.

6.解:设抢修车的速度为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 千米/时,则吉普车的速度为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 千米/

由题意得,

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> .

解得, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> .

经检验, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 是原方程的解,并且 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/846/" title="分式" class="c1" target="_blank">分式</a> 都符合题意.

答:抢修车的的速度为20千米/时,吉普车的速度为30千米/.