全国中考真题分类汇编04课考点3单项式和多项式的概念

全国中考真题分类汇编04课考点3单项式和多项式的概念
全国中考真题分类汇编04课考点3单项式和多项式的概念

1、(2013济宁)如果整式x n﹣2﹣5x+2是关于x的三次三项式,那么n等于()

A.3 B.4 C.5 D.6

考点:多项式.

专题:计算题.

分析:根据题意得到n﹣2=3,即可求出n的值.

解答:解:由题意得:n﹣2=3,

解得:n=5.

故选C

点评:此题考查了多项式,熟练掌握多项式次数的定义是解本题的关键.

2、(2013凉山州)如果单项式﹣x a+1y3与是同类项,那么a、b的值分别为()

A.a=2,b=3 B.a=1,b=2 C.a=1,b=3 D.a=2,b=2

考点:同类项.

分析:根据同类项的定义(所含字母相同,相同字母的指数相同)列出方程,求出a,b的值.

解答:解:根据题意得:,

则a=1,b=3.

故选C.

点评:考查了同类项,同类项定义中的两个“相同”:相同字母的指数相同,是易混点,因此成了中考的常考点

12、(2013年佛山市)多项式的次数及最高次项的系数分别是( )

A.B.C.D.

分析:根据多项式中次数最高的项的次数叫做多项式的次数可得此多项式为3次,最高次项是﹣3xy2,系数是数字因数,故为﹣3.

解:多项式1+2xy﹣3xy2的次数是3,

最高次项是﹣3xy2,系数是﹣3;

故选:A.

点评:此题主要考查了多项式,关键是掌握多项式次数的计算方法与单项式的区别

22、(2013?淮安)观察一列单项式:1x,3x2,5x2,7x,9x2,11x2,…,则第2013个单项式是4025x2.

考点:单项式.

专题:规律型.

分析:先看系数的变化规律,然后看x的指数的变化规律,从而确定第2013个单项式.

解答:解:系数依次为1,3,5,7,9,11,…2n﹣1;

x的指数依次是1,2,2,1,2,2,1,2,2,可见三个单项式一个循环,

故可得第2013个单项式的系数为4025;

∵=671,

∴第2013个单项式指数为2,

故可得第2013个单项式是4025x2.

故答案为:4025x2.

点评:本题考查了单项式的知识,属于规律型题目,解答本题关键是观察系数及指数的变化规律.

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