2022年二元一次方程组提高题归纳教程文件 .pdf
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1、二元一次方程组类型总结(提高题)类型一:二元一次方程的概念及求解例(1)已知(a2)xby|a|15 是关于x、y的二元一次方程,则a_,b_(2)二元一次方程3x2y15 的正整数解为 _类型二:二元一次方程组的求解例(3)若|2a3b7|与(2a5b1)2互为相反数,则a_,b _(4)2x3y4xy5 的解为 _类型三:已知方程组的解,而求待定系数。例(5)已知12yx是方程组274123nyxymx的解,则m2n2的值为 _(6)若满足方程组6)12(423ykkxyx的x、y的值相等,则k_练习:若方程组10)1(232ykkxyx的解互为相反数,则k的值为。若方程组52243yba
2、xyx与5243yxbyxa有相同的解,则a=,b=。类型四:涉及三个未知数的方程,求出相关量。设“比例系数”是解有关数量比的问题的常用方法例(7)已知2a3b4c,且abc121,则a_,b_,c_(8)解方程组634323xzzyyx,得x_,y_,z _练习:若2a5b 4c0,3ab 7c0,则abc=。由方程组0432032zyxzyx可得,xyz是()A、1 21 B、1(2)(1)C、1(2)1 D、12(1)说明:解方程组时,可用一个未知数的代数式表示另外两个未知数,再根据比例的性质求解当方程组未知数的个数多于方程的个数时,把其中一个未知数看作已知常数来解方程组。类型五:列方程
3、组求待定字母系数是常用的解题方法例(9)若20yx,311yx都是关于x、y的方程|a|xby6 的解,则ab的值为(10)关于x,y的二元一次方程axby的两个解是11yx,12yx,则这个二元一次方程是练习:如果21yx是方程组10cybxbyax的解,那么,下列各式中成立的是()A、a4c2 B、4ac2 C、a4c20 D、4ac20 类型六:方程组有解的情况。(方程组有唯一解、无解或无数解的情况)方程组222111cybxacybxa满足条件时,有唯一解;满足条件时,有无数解;满足条件时,有无解。例(11)关于x、y的二元一次方程组2312ymxyx没有解时,m(12)二元一次方程组
4、23xymxny有无数解,则m=,n=。类型七:解方程组例(13)022325232yxyyx(14)8001005.8%60%10)503(5)150(2yxyx(15)6)(2)(3152yxyxyxyx(16)441454yxzxzyzyx类型八:解答题例(17)已知0254034zyxzyx,xyz0,求222223yxzxyx的值文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编
5、码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E
6、7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T
7、1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10
8、U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2
9、O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3
10、S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M
11、4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1(18)甲、乙两人解方程组514byaxbyx,甲因看错a,解得32yx,乙将其中一个方程的b写成了它的相反数,解得21yx,求a、b的值练习:甲、乙两人共同解方程组byxyax24155,由于甲看错了方程中的a,得到方程组的解为13yx;乙看错了方程中的b,得到方程组的解为45yx。试计算20052004101ba的值.(19)已知满足方程2 x 3 ym4 与 3 x4 ym5 的x,y也满足方程2x3y3m8,求m的
12、值(20)当x 1,3,2 时,代数式ax2bxc的值分别为2,0,20,求:(1)a、b、c的值;(2)当x 2 时,ax2bxc的值类型九:列方程组解应用题(21)有一个三位整数,将左边的数字移到右边,则比原来的数小45;又知百位上的数的9 倍比由十位上的数与个位上的数组成的两位数小3求原来的数(22)某人买了4 000 元融资券,一种是一年期,年利率为9%,另一种是两年期,年利率是12%,分别在一年和两年到期时取出,共得利息780 元两种融资券各买了多少?(23)汽车从A地开往B地,如果在原计划时间的前一半时间每小时驶40 千米,而后一半时间由每小时行驶文档编码:CR5E7N7P3T1
13、HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1
14、J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7
15、 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8
16、T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O
17、1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:
18、CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N
19、7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O150 千米,可按时到达 但汽车以每小时40 千米的速度行至离AB中点还差40 千米时发生故障,停车半小时后,又以每小时55 千米的速度前进,结果仍按时到达B地求AB两地的距离及原计划行驶的时间单元测验九
20、(二元一次方程组的应用)姓名得分1、12.某铁路桥长1750m,现有一列火车从桥上通过,测得该火车从开始上桥到完全过桥共用了80s,整列火车完全在桥上的时间共60s;设火车的速度为xm/s,火车的长度为 ym,根据题意得方程组为2、通讯员要在规定时间内将密件从师部送到团部。如果他以50km/h 的速度行驶就会迟到24min;如果他以75km/h的速度行驶就会提前24min 到达团部。求若要在规定时间到达速度应该为多少km/h。3、某校办工厂去年总利润(总利润总收入总支出)为50 万元。计划今年的总收入比去年增加10%,总支出节约 20%,这样今年总利润为58 万元,求今年的总收入和总支出分别为
21、多少万元?4、甲乙两个商店各进洗衣机若干台,若甲店拨给乙店12 台,则两店的洗衣机一样多;若乙店拨给甲店12 台,则甲店的洗衣机比乙店洗衣机数的3 倍还多 2 台,求甲、乙两店各进洗衣机多少台?若设甲店进洗衣机x 台,乙店进洗衣机y 台。则根据题意,可列出方程组为:5、甲是乙现在的年龄时,乙10 岁;乙是甲现在的年龄时,甲25 岁,甲、乙今年分别多少岁?文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10
22、M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档
23、编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5
24、E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3
25、T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU10U1J1M2O7 ZQ3S8T10M4O1文档编码:CR5E7N7P3T1 HU1
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