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,全章热门考点整合应用,第,3,章 代数式,1,2,3,4,5,6,7,8,10,答 案 呈 现,温馨,提示,:,点击,进入,讲评,习题链接,9,12,11,A,C,B,A,C,13,答 案 呈 现,温馨,提示,:,点击,进入,讲评,习题链接,14,15,16,17,18,1,在长、宽分别为,a,,,b,(,a,,,b,均是大于或等于,2,的正整数,单位:,m),的长方形房间内,沿墙壁四周摆满边长为,1 m,的正方形桌子,那么正方形桌子的数量是,(,),A,2,a,2,b,4,B,2,a,2,b,2,C,2,a,2,b,D,2,a,2,b,2,A,2,(3,a,60),【哈尔滨,南岗区期末】,一架飞机无风时飞行的速度为,a,km/h,,风的速度为,20 km/h,,这架飞机顺风飞行,3 h,,这架飞机飞行了,_km.,3,C,4,【广州,模拟】,多项式,3,xy,2,2,y,1,的次数及一次项的系数分别是,(,),A,3,,,2,B,3,,,2,C,2,,,2,D,1,,,2,5,B,6,已知关于,x,的多项式,mx,4,(,m,2),x,3,(2,n,1),x,2,3,x,n,不含,x,3,和,x,2,的项,试写出这个多项式,并求当,x,1,时该多项式的值,7,3,a,,,5,,,xy,【中考,黔东南州】,如果,3,ab,2,m,1,与,9,ab,m,1,是同类项,那么,m,等于,(,),A,2,B,1 C,1,D,0,8,A,9,若代数式,2,ax,2,y,3,xy,4,5,x,2,y,7,x,7,ax,2,y,m,化简后不含,x,2,y,项,则,a,2,021,4,_,5,【点拨】,因为代数式,2,ax,2,y,3,xy,4,5,x,2,y,7,x,7,ax,2,y,m,化简后不含,x,2,y,项,,所以,2,ax,2,y,5,x,2,y,7,ax,2,y,0,,,所以,2,a,5,7,a,0,,,解得,a,1.,故,a,2 021,4,5.,10,合并同类项,5,m,2,n,m,3,n,_,4,m,n,11,下列等式中:,a,(,b,c,),a,b,c,;,a,(,b,c,),a,b,c,;,a,(,b,c,),a,b,c,;,a,(,b,c,),a,b,c,.,运算结果正确的个数为,(,),A,1,B,2 C,3,D,4,C,12,13,解:原式,7,a,3,6,a,3,b,3,a,3,6,a,3,b,10,a,3,3,3,,,由多项式化简可知,多项式的值与,a,和,b,无关,,所以无论多项式中,a,和,b,的值是多少,多项式的值都是,3.,【中考,大庆】,归纳,“T”,字形,用棋子摆成的,“T”,字形如图所示,按照图,,图,,图,的规律摆下去,摆成第,n,个,“T”,字形需要的棋子个数为,_,14,3,n,2,【中考,青海】,观察下列各式的规律:,13,2,2,3,4,1,;,24,3,2,8,9,1,;,35,4,2,15,16,1.,请按以上规律写出第,4,个算式为,_,用含有字母的式子表示第,n,个算式为,_,15,46,5,2,24,25,1,n,(,n,2),(,n,1),2,1,16,已知,2,ma,4,b,6,与,ma,4,b,3,n,的和是单项式,(,m,、,n,是常数,),,求,m,、,n,的值,解:分以下两种情况讨论:,(1),当,m,0,时,,n,可取任意数;,(2),当,m,0,时,由已知可得两个单项式是同类项,则,6,3,n,,解得,n,2.,综上所述,,m,0,,,n,取任意数或,m,0,时,,n,2.,17,阅读材料:,“,如果代数式,5,a,3,b,的值为,4,,那么代数式,2(,a,b,),4(2,a,b,),的值是多少?,”,我们可以这样来解:原式,2,a,2,b,8,a,4,b,10,a,6,b,2(5,a,3,b,),2(,4),8.,仿照上面的解题方法,完成下面的问题:,已知,3,a,7,b,3,,求代数式,2(2,a,b,1),5(4,b,a,),3,b,的值,解:当,3,a,7,b,3,时,,原式,4,a,2,b,2,20,b,5,a,3,b,9,a,21,b,2,3(3,a,7,b,),2,9,2,11.,18,在整式的加减练习课中,已知,A,3,a,2,b,2,ab,2,abc,,小江同学错将,“2,A,B,”,看成,“2,A,B,”,,算得错误结果是,4,a,2,b,3,ab,2,4,abc,.,请你解决以下问题:,(1),求出整式,B,;,解,:由,题意得,B,4,a,2,b,3,ab,2,4,abc,2,A,4,a,2,b,3,ab,2,4,abc,2(3,a,2,b,2,ab,2,abc,),4,a,2,b,3,ab,2,4,abc,6,a,2,b,4,ab,2,2,abc,2,a,2,b,ab,2,2,abc,;,(2),求正确计算结果;,解:,正确,结果是,2,A,B,2(3,a,2,b,2,ab,2,abc,),(,2,a,2,b,ab,2,2,abc,),6,a,2,b,4,ab,2,2,abc,2,a,2,b,ab,2,2,abc,8,a,2,b,5,ab,2,;,(3),若增加条件:,a,、,b,满足,|,a,4|,(,b,1)2,0,,你能求出,(2),中代数式的值吗?如果能,请求出最后的值;如果不能,请说明理由,解,:,能算出结果,,因为,a,,,b,满足,|,a,4|,(,b,1),2,0,,,所以,a,4,0,,,b,1,0,,解,得,a,4,,,b,1.,把,a,4,,,b,1,代入得,8,a,2,b,5,ab,2,84,2,(,1),54(,1),2,816(,1),541,128,20,148.,
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