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1、2.1整式一.判斷題(1)是關(guān)于x的一次兩項(xiàng)式.()(2)-3不是單項(xiàng)式.()(3)單項(xiàng)式xy的系數(shù)是0.()(4)x3+y3是6次多項(xiàng)式.()(5)多項(xiàng)式是整式.()二、選擇題1.在下列代數(shù)式:ab,,ab2+b+1,+,x3+x2-3中,多項(xiàng)式有()A.2個(gè)B.3個(gè)C.4個(gè)D5個(gè)2.多項(xiàng)式-23m2-n2是() A.二次二項(xiàng)式B.三次二項(xiàng)式C.四次二項(xiàng)式D五次二項(xiàng)式3.下列說法正確的是()A.3x2―2x+5的項(xiàng)是3x2,2x,5B.-與2x2―2xy-5都是多項(xiàng)式C.多項(xiàng)式-2x2+4xy的次數(shù)是3D.一個(gè)多項(xiàng)式的次數(shù)是6,則這個(gè)多項(xiàng)式中只有一項(xiàng)的次數(shù)是64.下列
2、說法正確的是()A.整式abc沒有系數(shù)B.++不是整式C.-2不是整式D.整式2x+1是一次二項(xiàng)式5.下列多項(xiàng)式中,是二次多項(xiàng)式的是()A、B、C、3xy-1D、6.下列單項(xiàng)式次數(shù)為3的是()A.3abcB.2×3×4C.x3yD.52x資料7.下列代數(shù)式中整式有(),2x+y,a2b,,,0.5,aA.4個(gè)B.5個(gè)C.6個(gè)D.7個(gè)8.下列整式中,單項(xiàng)式是()A.3a+1B.2x-yC.0.1D.9.下列各項(xiàng)式中,次數(shù)不是3的是()A.xyz+1B.x2+y+1C.x2y-xy2D.x3-x2+x-110.下列說法正確的是()A.x(x+a)是單項(xiàng)式B.不是整式C.0是
3、單項(xiàng)式D.單項(xiàng)式-x2y的系數(shù)是11.在多項(xiàng)式x3-xy2+25中,最高次項(xiàng)是()A.x3B.x3,xy2C.x3,-xy2D.2512.單項(xiàng)式-的系數(shù)與次數(shù)分別是()A.-3,3B.-,3C.-,2D.-,313.下列說法正確的是()A.x的指數(shù)是0B.x的系數(shù)是0C.-10是一次單項(xiàng)式D.-10是單項(xiàng)式14.已知:與是同類項(xiàng),則代數(shù)式的值是()A、B、C、D、15.系數(shù)為-且只含有x、y的二次單項(xiàng)式,可以寫出()A.1個(gè)B.2個(gè)C.3個(gè)D.4個(gè)三.填空題1填一填資料整式-abπr2-a+bA3b2-2a2b2+b3-7ab+52.單項(xiàng)式:的系數(shù)是,次數(shù)是;3.是次單
4、項(xiàng)式;4.的一次項(xiàng)系數(shù)是,常數(shù)項(xiàng)是;5.單項(xiàng)式xy2z是_____次單項(xiàng)式.6.多項(xiàng)式a2-ab2-b2有_____項(xiàng),其中-ab2的次數(shù)是.7.整式①,②3x-y2,③23x2y,④a,⑤πx+y,⑥,⑦x+1中單項(xiàng)式有,多項(xiàng)式有8.x+2xy+y是次多項(xiàng)式.9.b的倍的相反數(shù)是;10.設(shè)某數(shù)為x,10減去某數(shù)的2倍的差是;11.的次數(shù)是;12.當(dāng)x=2,y=-1時(shí),代數(shù)式的值是;13.當(dāng)y=時(shí),代數(shù)式3y-2與的值相等;14.-23ab的系數(shù)是,次數(shù)是次.15.多項(xiàng)式x3y2-2xy2--9是___次___項(xiàng)式,其中最高次項(xiàng)的系數(shù)是,二次項(xiàng)是,常數(shù)項(xiàng)是.16.若與是
5、同類項(xiàng),則m=.資料17.在x2,(x+y),,-3中,單項(xiàng)式是,多項(xiàng)式是,整式是.18.單項(xiàng)式的系數(shù)是____________,次數(shù)是____________.19.多項(xiàng)式x2y+xy-xy2-53中的三次項(xiàng)是____________.20.當(dāng)a=____________時(shí),整式x2+a-1是單項(xiàng)式.21.多項(xiàng)式xy-1是____________次____________項(xiàng)式.22.當(dāng)x=-3時(shí),多項(xiàng)式-x3+x2-1的值等于____________.23.一個(gè)n次多項(xiàng)式,它的任何一項(xiàng)的次數(shù)都____________.24.如果3xky與-x2y是同類項(xiàng),那么k=__
6、______.25.判斷是不是同類項(xiàng)()(1)3x2y與–3x2y?()???(2)0.2a2b與0.2ab2?()(3)11abc與9bc()(4)3m2n3與–n3m2?()??????????(5)4xy2z與4x2yz()????(6)62與x2()26.寫出–a2b3c2的三個(gè)同類項(xiàng)、、。27.如果2x2ym與–3xny是同類項(xiàng),那么m=________,n=_________。28.下列各組中的兩項(xiàng)不是同類項(xiàng)的是()A、2x2y3與–3x2y3B、10a3b2c與10a2b3cC、5xy與yxD、–和2四、合并下列多項(xiàng)式中的同類項(xiàng)(1)3x2+4x-2x2-
7、x+x2-3x-1;(2)-a2b+2a2b資料(3)a3-a2b+ab2+a2b-2ab2+b3;(4)2a2b+3a2b-a2b(5)(2x+3y)+(5x-4y);(6)(8a-7b)-(4a-5b)(7)(8x-3y)-(4x+3y-z)+2z;(8)(2x-3y)-3(4x-2y)(9)3a2+a2-2(2a2-2a)+(3a-a2)(10)3b-2c-[-4a+(c+3b)]+c五.先去括號(hào),再合并同類項(xiàng):(1)(2x+3y)+(5x-4y);(2)(8a-7b)-(4a-5b)(3)(8x-3y)-(4x+3y-z)+2z(