(遵义专版)2019中考数学高分一轮复习第一部分教材同步复习第二章方程(组)与不等式(组)课时7分式方程真题在线.doc

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(遵义专版)2019中考数学高分一轮复习第一部分教材同步复习第二章方程(组)与不等式(组)课时7分式方程真题在线.doc_第1页
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1、1第一部分 第二章 课时 7命题点一 解分式方程1(2015遵义)若 x3 是分式方程 0 的根,则 a 的值是( A )a 2x 1x 2A5 B5 C3 D3【解析】 x3 是分式方程 0 的根,a 2x 1x 2 0, 1, a23, a5,即 a 的值是 5.a 23 13 2 a 23命题点二 分式方程的应用2(2017遵义)为厉行节能减排,倡导绿色出行,今年 3 月以来, “共享单车”(俗称“小黄车”)公益活动登陆我市中心城区,某公司拟在甲、乙两个街道社区投放一批“小黄车” ,这批自行车包括 A, B 两种不同款型,请回答下列问题:问题 1:单价该公司早期在甲街区进行了试点投放,共

2、投放 A, B 两型自行车各 50 辆,投放成本共计 7 500 元,其中 B 型车的成本单价比 A 型车高 10 元, A, B 两型自行车的单价各是多少?问题 2:投放方式该公司决定采取如下投放方式:甲街区每 1 000 人投放 a 辆“小黄车” ,乙街区每 1 000 人投放 辆“小黄车” ,按照这种投放方式,甲街区共投放 1 500 辆,乙街区共8a 240a投放 1 200 辆,如果两个街区共有 15 万人,试求 a 的值解:问题 1:设 A 型车的成本单价为 x 元,则 B 型车的成本单价为( x10)元,依题意得 50x50( x10)7 500,解得 x70, x1080.答: A, B 两型自行车的单价分别是 70 元和 80 元问题 2:由题可得1 000 1 000150 000,1 500a 1 200a8a 240化简,得 1,10a aa 30解得 a15. 检验:当 a15 时, a(a30)0,所以 a15 是所列方程的解答: a 的值为 15.2

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