目錄初一整式計(jì)算題50道 整式計(jì)算題100道附答案初一 七年級(jí)整式計(jì)算題100道 初一整式的乘除計(jì)算題100道 初一數(shù)學(xué)整式難題及答案
1銆佸凡鐭?A,B鏄?鏂圭▼x^2+2x-5=0鐨勪袱涓?瀹炴暟鏍?, 姹?(A^2+2AB+2A)(B^2+2AB+2B)鐨勫??. 鐢盇,B鏄?鏂圭▼x^2+2x-5=0鐨勪袱涓?瀹炴暟鏍瑰緱錛? AB=-5錛孉+B=-2 A^2+2AB+2A)(B^2+2AB+2B) =AB錛圓+2B+2錛夛紙B+2A+2錛? =-5錛?-2+B+2錛夛紙-2+A+2錛? =-5AB =25 2銆?1/2(x+y+z)鏂?+1/2(x-y-z)(x-y+z)-z(x+y),鍏朵腑x-y=6,xy=21.瑕佽?︾粏姝ラ?? 鍖栫畝寰楋細(xì) 1/2(x+y+z)鏂?+1/2(x-y-z)(x-y+z)-z(x+y)= 1/2[(x+y)鏂?+2z(x+y)+z鏂筣+1/2[(x-y)鏂?-z鏂筣-z(x+y)= 1/2(x+y)鏂?+1/2(x-y)鏂?=x鏂癸紜y鏂? 鐢眡-y=6,xy=21寰楃ⅶ铏氾紝x鏂癸紜y鏂癸紳錛坸-y錛夋柟錛?2xy錛?78 3銆乤^2-ab+2b^2=3 姹?2ab-2a^2-4b^2-7鐨勫?? 2ab-2a^2-4b^2-7 =2(ab-a^2-2b^2)-7 =-2(a^2-ab+2b^2)-7 =(-2)*3-7 =-6-7=-13 4銆佽嫢A=2x^2+3xy-2x-3,B=-x^2+xy+2,涓?3A+6B鐨勫?間笌x鏃犲叧錛屾眰y鐨勫?? 瑙ｏ細(xì) 3A+6B=6x^2+9xy-6x-9-6x^2+6xy+12 =15xy-6x+3 =x(15y-6)+3 5銆?9x+6x^2 -3(x-2/3x^2).鍏朵腑x=-2 9x+6x?0?5 -3(x-2/3x?0?5) =9x+6x?0?5-3x+2x?0?5 =8x?0?5+6x =8脳(-2)?0?5+6脳(-2) =32-12 =20 6銆?1/4(-4x^2+2x-8)-(1/2x-1),鍏朵腑x=1/2 1/4(-4x?0?5+2x-8)-(1/2x-1) =-x?0?5+1/2x-2-1/2x+1 =-x?0?5-1 =-(1/2)?0?5-1 =-1/4-1 =-5/4 7銆?3x'y-[2x'y-(2xyz-x'z)-4x'z]-xyz,鍏朵腑x=-2,y=-3,z=1, :3x'y-[2x'y-(2xyz-x'z)-4x'z]-xyz =3x'y-2x'y+2xyz-x'z+4x'z-xyz =x'y-xyz+3x'z =4*(-3)-2*3*1+3*4*1 =-12-6+12 =-6 8銆?(5a^2-3b^2)+(a^2+b^2)-(5a^2+3b^2),鍏朵腑a=-1,b=1 =5a^2-3b^2+a^2+b^2-5a^2-3b^2 =a^2-5b^2 =(-1)^2-5*1^2 =1-5 =-4 9銆?2(a^2b+ab^2)-2(a^2 b-1)-2ab^2 -2鍏朵腑a=-2,b=2 =2a^2b+2ab^2-2a^2b+2-2ab^2-2 =0 10銆?(X-2鍒嗕箣1Y-1)(X-2鍒嗕箣1Y+1)-(X-2鍒嗕箣1Y-1)鐨勫鉤鏂? 鍏朵腑X=1.7,Y=3.9(鍏堝寲綆?鍐嶆眰鍊?) [(X-2鍒嗕箣1Y)-1][(X+2鍒嗕箣1Y)+1]-(X-2鍒嗕箣1Y-1)騫蟲柟 =(X+2鍒嗕箣1Y)騫蟲柟-1-(X-2鍒嗕箣1Y)騫蟲柟+2(X-2鍒嗕箣1Y)-1 =(X+2鍒嗕箣1Y)騫蟲柟-(X-2鍒嗕箣1Y)騫蟲柟+2(X-2鍒嗕箣1Y)-2 =2XY+2X-Y-2 =3.9*2.4+1.4 =10.76 鍖栭棿姹傚??: 涓嬮潰鐨勪綘鑷?宸辨眰鍚?``` 1銆?-9(x-2)-y(x-5) 錛?1錛夊寲綆?鏁村潶宸т釜寮忓瓙銆? 錛?2錛夊綋x=5鏃訛紝姹倅鐨勮В銆? 2銆?5(9+a)脳b-5(5+b)脳a 錛?1錛夊寲綆?鏁翠釜寮忓瓙銆? 錛?2錛夊綋a=5/7鏃訛紝姹傚紡瀛愮殑鍊箋?? 3銆?62g+62(g+b)-b 錛?1錛夊寲綆?鏁翠釜寮忓瓙銆? 錛?2錛夊綋g=5/7鏃訛紝姹俠鐨勮В銆? 4銆?3(x+y)-5(4+x)+2y 錛?1錛夊寲綆?鏁翠釜寮忓瓙銆? 5銆?(x+y)(x-y) 錛?1錛夊寲綆?鏁翠釜寮忓瓙銆? 6銆?2ab+a脳a-b 錛?1錛夊寲綆?鏁翠釜寮忓瓙璁╂収閿?銆? 7銆?5.6x+4(x+y)-y 錛?1錛夊寲綆?鏁翠釜寮忓瓙銆? 8銆?6.4(x+2.9)-y+2(x-y) 錛?1錛夊寲綆?鏁翠釜寮忓瓙銆? 9銆?(2.5+x)(5.2+y) 錛?1錛夊寲綆?鏁翠釜寮忓瓙銆? 10銆?9.77x-(5-a)x+2a (5a^2-3b^2)+(a^2+b^2)-(5a^2+3b^2),鍏朵腑a=-1,b=1 =5a^2-3b^2+a^2+b^2-5a^2-3b^2 =a^2-5b^2 =(-1)^2-5*1^2 =1-5 =-4 2(a^2b+ab^2)-2(a^2 b-1)-2ab^2 -2鍏朵腑a=-2,b=2 =2a^2b+2ab^2-2a^2b+2-2ab^2-2 =0 x+7-(-36+8^2)/2=[-(-8x)+7^4]/3*(8^2-6x) (a-7)-(-98a)+7a=[(3.2*5a)2^5]/10 (89/2+5x)+35/6x=[3*(-9+5)+2^3]/5+7x [3X+(-189+5^2)/3]/8=521/2 4y+[119*(-5^3y+8/7)-8/3]=22/11 (3X*189)+{5*6+[-5/8*(-65*8^3)]+9/2} 7(2x-1)-3(4x-1)=4(3x+2)-1 (5y+1)+ (1-y)= (9y+1)+ (1-3y) [-6(-7^4*8)-4]=x+2 20%+(1-20%)(320-x)=320脳40% 2(x-2)+2=x+1 2(x-2)-3(4x-1)=9(1-x) 11x+64-2x=100-9x 15-(8-5x)=7x+(4-3x) 3(x-7)-2[9-4(2-x)]=22 3/2[2/3(1/4x-1)-2]-x=2 2x+7^2=157 9x+6x?0?5 -3(x-2/3x?0?5) =9x+6x?0?5-3x+2x?0?5 =8x?0?5+6x =8脳(-2)?0?5+6脳(-2) =32-12 =20 1/4(-4x?0?5+2x-8)-(1/2x-1) =-x?0?5+1/2x-2-1/2x+1 =-x?0?5-1 =-(1/2)?0?5-1 =-1/4-1 =-5/4 3錛?3ab-4ab+8ab-7ab+ab=______錛? 4錛?7x-(5x-5y)-y=______錛? 5錛?23a3bc2-15ab2c+8abc-24a3bc2-8abc=______錛? 6錛?-7x2+6x+13x2-4x-5x2=______錛? 7錛?2y+(-2y+5)-(3y+2)錛漘_____錛? 11錛?(2x2-3xy+4y2)+(x2+2xy-3y2)=______錛? 12錛?2a-(3a-2b+2)+(3a-4b-1)=______錛? 13錛?-6x2-7x2+15x2-2x2錛漘_____錛? 14錛?2x-(x+3y)-(-x-y)-(x-y)錛漘_____錛? 16錛?2x+2y-[3x-2(x-y)]=______錛? 17錛?5-(1-x)-1-(x-1)=______錛? 18錛?( )+(4xy+7x2-y2)=10x2-xy錛? 19錛?(4xy2-2x2y)-( )=x3-2x2y+4xy2+y3錛? 21錛庡凡鐭?A=x3-2x2+x-4錛孊=2x3-5x+3錛岃?＄畻A+B=______錛? 22錛庡凡鐭?A=x3-2x2+x-4錛孊=2x3-5x+3錛岃?＄畻A-B=______錛? 23錛庤嫢a=-0.2錛宐=0.5錛屼唬鏁板紡-(|a2b|-|ab2|)鐨勫?間負(fù)______錛? 25錛庝竴涓?澶氶」寮忓噺鍘?3m4-m3-2m+5寰?-2m4-3m3-2m2-1錛岄偅涔堣繖涓?澶氶」寮忕瓑浜巁_____錛? 26錛?-(2x2-y2)-[2y2-(x2+2xy)]=______錛? 27錛庤嫢-3a3b2涓?5ax-1by+2鏄?鍚岀被欏癸紝鍒檟=______錛寉=______錛? 28錛?(-y+6+3y4-y3)-(2y2-3y3+y4-7)錛漘_____錛? 29錛庡寲綆?浠ｆ暟寮?4x2-[7x2-5x-3(1-2x+x2)]鐨勭粨鏋滄槸______錛? 30錛?2a-b2+c-d3=2a+( )-d3=2a-d3-( )=c-( )錛? 31錛?3a-(2a-3b)+3(a-2b)-b=______錛? 32錛庡寲綆?浠ｆ暟寮弜-[y-2x-(x+y)]絳変簬______錛? 33錛嶽5a2+( )a-7]+[( )a2-4a+( )]=a2+2a+1錛? 34錛?3x-[y-(2x+y)]=______錛? 35錛庡寲綆?|1-x+y|-|x-y|(鍏朵腑x錛?0錛寉錛?0)絳変簬______錛? 36錛庡凡鐭?x鈮?y錛寈+y-|x-y|=______錛? 37錛庡凡鐭?x錛?0錛寉錛?0錛屽寲綆?|x+y|-|5-x-y|=______錛? 38錛?4a2n-an-(3an-2a2n)錛漘_____錛? 39錛庤嫢涓?涓?澶氶」寮忓姞涓?-3x2y+2x2-3xy-4寰? 2x2y+3xy2-x2+2xy錛? 鍒欒繖涓?澶氶」寮忎負(fù)______錛? 40錛?-5xm-xm-(-7xm)+(-3xm)=______錛? 41錛庡綋a=-1錛宐=-2鏃訛紝 [a-(b-c)]-[-b-(-c-a)]錛漘_____錛? 43錛庡綋a=-1錛宐=1錛宑=-1鏃訛紝 -[b-2(-5a)]-(-3b+5c)錛漘_____錛? 44錛?-2(3x+z)-(-6x)+(-5y+3z)=______錛? 45錛?-5an-an+1-(-7an+1)+(-3an)錛漘_____錛? 46錛?3a-(2a-4b-6c)+3(-2c+2b)=______錛? 48錛?9a2+[7a2-2a-(-a2+3a)]=______錛? 50錛庡綋2y-x=5鏃訛紝5(x-2y)2-3(-x+2y)-100=______錛? (浜?)閫夋嫨 [ ] A錛?2錛? B錛?-2錛? C錛?-10錛? D錛?-6錛? 52錛庝笅鍒楀悇寮忎腑璁＄畻緇撴灉涓?-7x-5x2+6x3鐨勬槸 [ ] A錛?3x-(5x2+6x3-10x)錛? B錛?3x-(5x2+6x3+10x)錛? C錛?3x-(5x2-6x3+10x)錛? D錛?3x-(5x2-6x3-10x)錛? 53錛庢妸(-x-y)+3(x+y)-5(x+y)鍚堝茍鍚岀被欏瑰緱 [ ] A錛?(x-y)-2(x+y)錛? B錛?-3(x+y)錛? C錛?(-x-y)-2(x+y)錛? D錛?3(x+y)錛? 54錛?2a-[3b-5a-(2a-7b)]絳変簬 [ ] A錛?-7a+10b錛? B錛?5a+4b錛? C錛?-a-4b錛? D錛?9a-10b錛? 55錛庡噺鍘?-3m絳変簬5m2-3m-5鐨勪唬鏁板紡鏄? [ ] A錛?5(m2-1)錛? B錛?5m2-6m-5錛? C錛?5(m2+1)錛? D錛?-(5m2+6m-5)錛? 56錛庡皢澶氶」寮?2ab-9a2-5ab-4a2涓?鐨勫悓綾婚」鍒嗗埆緇撳悎鍦ㄤ竴璧鳳紝搴斾負(fù) [ ] A錛?(9a2-4a2)+(-2ab-5ab)錛? B錛?(9a2+4a2)-(2ab-5ab)錛? C錛?(9a2-4a2)-(2ab+5ab)錛? D錛?(9a2-4a2)+(2ab-5ab)錛? 57錛庡綋a=2錛宐=1鏃訛紝-a2b+3ba2-(-2a2b)絳変簬 [ ] A錛?20錛? B錛?24錛? C錛?0錛? D錛?16錛? 涓?錛屾?ｇ‘鐨勯?夋嫨鏄? [ ] A錛庢病鏈夊悓綾婚」錛? B錛?(2)涓?(4)鏄?鍚岀被欏癸紱 C錛?(2)涓?(5)鏄?鍚岀被欏癸紱 D錛?(2)涓?(4)涓嶆槸鍚岀被欏癸紟 59錛庤嫢A鍜孊鍧囦負(fù)浜旀?″?氶」寮忥紝鍒橝-B涓?瀹氭槸 [ ] A錛庡崄嬈″?氶」寮忥紱 B錛庨浂嬈″?氶」寮忥紱 C錛庢?℃暟涓嶉珮?shù)簬浜攱啤鐨勫椤瑰紡锛?D錛庢?℃暟浣庝簬浜旀?＄殑澶氶」寮忥紟 60錛?-锝?jīng)[-(x+y)]锝?+锝?-[(x+y)]锝濈瓑浜? [ ] A錛?0錛? B錛?-2y錛? C錛巟+y錛? D錛?-2x-2y錛? 61錛庤嫢A=3x2-5x+2錛孊=3x2-5x+6錛屽垯A涓嶣鐨勫ぇ灝忔槸 [ ] A錛嶢錛濨錛? B錛嶢=B錛? C錛嶢錛淏錛? D錛庢棤娉曠‘瀹氾紟 62錛庡綋m=-1鏃訛紝-2m2-[-4m2+(-m2)]絳変簬 [ ] A錛?-7錛? B錛?3錛? C錛?1錛? D錛?2錛? 63錛庡綋m=2錛宯=1鏃訛紝澶氶」寮?-m-[-(2m-3n)]+[-(-3m)-4n]絳変簬 [ ] A錛?1錛? B錛?9錛? C錛?3錛? D錛?5錛? [ ] 65錛?-5an-an-(-7an)+(-3an)絳変簬 [ ] A錛?-16an錛? B錛?-16錛? C錛?-2an錛? D錛?-2錛? 66錛?(5a-3b)-3(a2-2b)絳変簬 [ ] A錛?3a2+5a+3b錛? B錛?2a2+3b錛? C錛?2a3-b2錛? D錛?-3a2+5a-5b錛? 67錛巟3-5x2-4x+9絳変簬 [ ] A錛?(x3-5x2)-(-4x+9)錛? B錛巟3-5x2-(4x+9)錛? C錛?-(-x3+5x2)-(4x-9)錛? D錛巟3+9-(5x2-4x)錛? [ ] 69錛?4x2y-5xy2鐨勭粨鏋滃簲涓? [ ] A錛?-x2y錛? B錛?-1錛? C錛?-x2y2錛? D錛庝互涓婄瓟妗堥兘涓嶅?癸紟 (涓?)鍖栫畝 70錛?(4x2-8x+5)-(x3+3x2-6x+2)錛? 72錛?(0.3x3-x2y+xy2-y3)-(-0.5x3-x2y+0.3xy2)錛? 73錛?-{2a2b-[3abc-(4ab2-a2b)]锝濓紟 74錛?(5a2b+3a2b2-ab2)-(-2ab2+3a2b2+a2b)錛? 75錛?(x2-2y2-z2)-(-y2+3x2-z2)+(5x2-y2+2z2)錛? 76錛?(3a6-a4+2a5-4a3-1)-(2-a+a3-a5-a4)錛? 77錛?(4a-2b-c)-5a-[8b-2c-(a+b)]錛? 78錛?(2m-3n)-(3m-2n)+(5n+m)錛? 79錛?(3a2-4ab-5b2)-(2b2-5a2+2ab)-(-6ab)錛? 80錛巟y-(2xy-3z)+(3xy-4z)錛? 81錛?(-3x3+2x2-5x+1)-(5-6x-x2+x3)錛? 83錛?3x-(2x-4y-6x)+3(-2z+2y)錛? 84錛?(-x2+4+3x4-x3)-(x2+2x-x4-5)錛? 85錛庤嫢A=5a2-2ab+3b2錛孊=-2b2+3ab-a2錛岃?＄畻A+B錛? 86錛庡凡鐭?A=3a2-5a-12錛孊=2a2+3a-4錛屾眰2(A-B)錛? 87錛?2m-{-3n+[-4m-(3m-n)]锝濓紟 88錛?5m2n+(-2m2n)+2mn2-(+m2n)錛? 89錛?4(x-y+z)-2(x+y-z)-3(-x-y-z)錛? 90錛?2(x2-2xy+y2-3)+(-x2+y2)-(x2+2xy+y2)錛? 92錛?2(a2-ab-b2)-3(4a-2b)+2(7a2-4ab+b2)錛? 94錛?4x-2(x-3)-3[x-3(4-2x)+8]錛? (鍥?)灝嗕笅鍒楀悇寮忓厛鍖栫畝錛屽啀姹傚?? 97錛庡凡鐭?a+b=2錛宎-b=-1錛屾眰3(a+b)2(a-b)2-5(a+b)2脳(a-b)2鐨勫?鹼紟 98錛庡凡鐭?A=a2+2b2-3c2錛孊=-b2-2c2+3a2錛孋=c2+2a2-3b2錛屾眰(A-B)+C錛? 99錛庢眰(3x2y-2xy2)-(xy2-2x2y)錛屽叾涓瓁=-1錛寉=2錛? 101錛庡凡鐭?|x+1|+(y-2)2=0錛屾眰浠ｆ暟寮?5(2x-y)-3(x-4y)鐨勫?鹼紟 106錛庡綋P(yáng)=a2+2ab+b2錛孮=a2-2ab-b2鏃訛紝姹侾-[Q-2P-(P-Q)]錛? 107錛庢眰2x2-锝?-3x+5+[4x2-(3x2-x-1)]锝濈殑鍊鹼紝鍏朵腑x=-3錛? 110錛庡綋x=-2錛寉=-1錛寊=3鏃訛紝姹?5xyz-锝?2x2y-[3xyz-(4xy2-x2y)]锝濈殑鍊鹼紟 113錛庡凡鐭?A=x3-5x2錛孊=x2-6x+3錛屾眰A-3(-2B)錛? (浜?)緇煎悎緇冧範(fàn) 115錛庡幓鎷?鍙鳳細(xì)锝?-[-(a+b)]锝?-锝?-[-(a-b)]锝濓紟 116錛庡幓鎷?鍙鳳細(xì)-[-(-x)-y]-[+(-y)-(+x)]錛? 117錛庡凡鐭?A=x3+6x-9錛孊=-x3-2x2+4x-6錛岃?＄畻2A-3B錛屽茍鎶婄粨鏋滄斁鍦ㄥ墠闈㈠甫鈥?-鈥濆彿鐨勬嫭鍙峰唴錛? 118錛庤?＄畻涓嬪紡錛屽茍鎶婄粨鏋滄斁鍦ㄥ墠闈㈠甫鈥?-鈥濆彿鐨勬嫭鍙峰唴錛? (-7y2)+(-4y)-(-y2)-(+5y)+(-8y2)+(+3y)錛? 119錛庡幓鎷?鍙楓?佸悎騫跺悓綾婚」錛屽皢緇撴灉鎸墄鐨勫崌騫傛帓鍒楋紝騫舵妸鍚庝笁欏規(guī)斁鍦ㄥ甫鏈夆??-鈥濆彿鐨勬嫭鍙峰唴錛? 120錛庝笉鏀瑰彉?shù)笅寮忕殑?鹼紝灝嗗叾涓?鍚勬嫭鍙峰墠鐨勭?﹀彿閮藉彉鎴愮浉鍙嶇殑絎﹀彿錛?(x3+3x2)-(3x2y-7xy)+(2y3-3y2)錛? 121錛庢妸澶氶」寮?4x2y-2xy2+4xy+6-x2y2+x3-y2鐨勪笁嬈￠」鏀懼湪鍓嶉潰甯︽湁鈥?-鈥濆彿鐨勬嫭鍙峰唴錛屼簩嬈￠」鏀懼湪鍓嶉潰甯︽湁鈥?+鈥濆彿鐨勬嫭鍙峰唴錛屽洓嬈￠」鍜屽父鏁伴」鏀懼湪鍓嶉潰甯︽湁鈥?-鈥濆彿鐨勬嫭鍙峰唴錛? 122錛庢妸涓嬪垪澶氶」寮忕殑鎷?鍙峰幓鎺夛紝鍚堝茍鍚岀被欏癸紝騫跺皢鍏跺悇欏規(guī)斁鍦ㄥ墠闈㈠甫鏈夆??-鈥濆彿鐨勬嫭鍙峰唴錛屽啀姹?2x-2[3x-(5x2-2x+1)]-4x2鐨勫?鹼紝鍏朵腑x=-1錛? 123錛庡悎騫跺悓綾婚」錛? 7x-1.3z-4.7-3.2x-y+2.1z+5-0.1y錛? 124錛庡悎騫跺悓綾婚」錛?5m2n+5mn2-mn+3m2n-6mn2-8mn錛? 126錛庡幓鎷?鍙鳳紝鍚堝茍鍚岀被欏癸細(xì) (1)(m+1)-(-n+m)錛? (2)4m-[5m-(2m-1)]錛? 127錛庡寲綆?錛?2x2-锝?-3x-[4x2-(3x2-x)+(x-x2)]锝濓紟 128錛庡寲綆?錛?-(7x-y-2z)-锝?jīng)[4x-(x-y-z)-3x+z]-x锝濓紟 129錛庤?＄畻錛?(+3a)+(-5a)+(-7a)+(-31a)-(+4a)-(-8a)錛? 130錛庡寲綆?錛歛3-(a2-a)+(a2-a+1)-(1-a4+a3)錛? 131錛庡皢x2-8x+2x3-13x2-2x-2x3+3鍏堝悎騫跺悓綾婚」錛屽啀姹傚?鹼紝鍏朵腑x=-4錛? 132錛庡湪鎷?鍙峰唴濉?涓婇?傚綋鐨勯」錛歔( )-9y+( )]+2y2+3y-4=11y2-( )+13錛? 133錛庡湪鎷?鍙峰唴濉?涓婇?傚綋鐨勯」錛? (-x+y+z)(x+y-z)=[y-( )][y+( )]錛? 134錛庡湪鎷?鍙峰唴濉?涓婇?傚綋鐨勯」錛? (3x2+xy-7y2)-( )=y2-2xy-x2錛? 135錛庡湪鎷?鍙峰唴濉?涓婇?傚綋鐨勯」錛? (1)x2-xy+y-1=x2-( )錛? (2)[( )+6x-7]-[4x2+( )-( )]=x2-2x+1錛? 136錛庤?＄畻4x2-3[x+4(1-x)-x2]-2(4x2-1)鐨勫?鹼紟 137錛庡寲綆?錛? 138錛庣敤绔栧紡璁＄畻 (-x+5+2x4-6x3)-(3x4+2x2-3x3-7)錛? 139錛庡凡鐭?A=11x3+8x2-6x+2錛孊=7x3-x2+x+3錛屾眰2(3A-2B)錛? 140錛庡凡鐭?A=x3-5x2錛孊=x3-11x+6錛孋=4x-3錛屾眰 (1)A-B-C錛? (2)(A-B-C)-(A-B+C)錛? 141錛庡凡鐭?A=3x2-4x3錛孊=x3-5x2+2錛岃?＄畻 (1)A+B錛? (2)B-A錛? 142錛庡凡鐭?x錛?-4錛屽寲綆?|-x|+|x+4|-|x-4|錛? 146錛庢眰涓や唬鏁板紡-1.56a+3.2a3-0.47錛?2.27a3-0.02a2+4.03a+0.53鐨勫樊涓?6-0.15a+3.24a2+5.07a3鐨勫拰錛? -0.3錛寉=-0.2錛? 150錛庡凡鐭?(x-3)2+|y+1|+z2=0錛屾眰x2-2xy-5x2+12xz+3xy-z2-8xz-2x2鐨勫?鹼紟
1.(374+55)+(253+25)+(347+526)
2.773-297+197
3.678+104-56
4.678+999+58
5.678-134+33
6.678-197+99
7.945-537-98+237
8.19+199+1999+19999
9.77+64+75-73
10.(2542+2543-2538)-2
11.56+22+44
12.67+(18+133)
13.728+34+76+272
14.327+466+(534+173)
15.585+(267+415)+733
16.874-(674+22)
17.571-36-64
18.672-(412+243)
19.7896-(1234+5896)
20.426+109-5
21.5678-4987+632
22.197+389-45
23.487+168-56
24.49+499-250
25.667+458-345
26.27+33+30-31
27.56+45-23
28.774+776-24
29.843+(365-243)
30.147+26+53-39
31.800-89+40
32.2784+4253-784
33.1668+65-24
34.9999+54-89
35.43+173-35
36.4123+3412-2341
37.8247-(247+159)
38.54+48-51
39.562+781-264
40.3+6-2
41.32-14+67
42.33+44-55
43.529+341-581
44.61+35-25
45.23-12+68
46.52+63-49
47.37+29-48
48.63-54+68
49.55-14+62
50.32+49-57
1.(374+55)+(253+25)+(347+526)
2.773-297+197
3.678+104-56
4.678+999+58
5.678-134+33
6.678-197+99
7.945-537-98+237
8.19+199+1999+19999
9.77+64+75-73
10.(2542+2543-2538)-2
11.56+22+44
12.67+(18+133)
13.728+34+76+272
14.327+466+(534+173)
15.585+(267+415)+733
16.874-(674+22)
17.571-36-64
18.672-(412+243)
19.7896-(1234+5896)
20.426+109-5
21.5678-4987+632
22.197+389-45
23.487+168-56
24.49+499-250
25.667+458-345
26.27+33+30-31
27.56+45-23
28.774+776-24
29.843+(365-243)
30.147+26+53-39
31.800-89+40
32.2784+4253-784
33.1668+65-24
34.9999+54-89
35.43+173-35
36.4123+3412-2341
37.8247-(247+159)
38.54+48-51
39.562+781-264
40.3+6-2
41.32-14+67
42.33+44-55
43.529+341-581
44.61+35-25
45.23-12+68
46.52+63-49
47.37+29-48
48.63-54+68
49.55-14+62
50.32+49-57
澶熶簡(jiǎn)娌℃湁錛屾壘鐨勫緢杈涜嫤鍟婏紒璁板緱閲囩撼錛屾渶濂藉姞濂借瘎~~~
1銆佽?佷嬌鍏充簬X鐨勫?氶」寮廙X^3-2X^2+3X-4X^3+5X^2-NX涓嶅惈涓夋?￠」鍙?qiáng)涓€嬈￠」,鍒橫+N=?
2銆佸凡鐭?A-B=-6,鍒?3-(B-A)=澶氬皯錛?8-6A+6B=澶氬皯錛?
3銆佸?傛灉涓?涓?澶氶」寮廙鍑忓幓-3X+5錛屽緱5X^2-3X-1錛岄偅涔圡絳変簬澶氬皯錛?
4銆佸凡鐭?A=X^3-2X^2+1,B=3X^2-4X-3/2.姹?(1)3A+2B;(2)-2A-B
5銆佸凡鐭?A鏄?涓?涓?澶氶」寮?,鍦ㄨ?＄畻A-(2X^2+5X-3)鏃?,涓?涓?鍚屽?︽妸"A-"鍐欐垚浜?"A+",璁＄畻寰楀埌鐨勭粨鏋滄槸-X^2+3X-7,鍘熸潵榪欎釜寮忓瓙鏄?澶氬皯?姝ｇ‘鐨勭粨鏋滄槸澶氬皯?
6銆佺數(shù)褰遍櫌鐨勭??涓?鎺掓湁A涓?搴т綅,鍚庨潰娌′竴鎺掓瘮鍠婂拹鍓嶉潰涓?鎺掑?氫竴涓?搴т綅,鐢?shù)濯?jiǎng)闄㈢殑絎琋鎺掓湁澶氬皯涓?
絳旀?堬細(xì)
1銆侀?栧厛瑕佺煡閬撲粈涔堟槸涓夋?￠」鍜屼竴嬈￠」錛孧X^3銆?-4X^3灝辨槸3嬈￠」錛孨X銆?3X灝辨槸涓?嬈￠」錛屾牴鎹?棰樼洰瑕佹眰涓嶅惈涓夋?￠」鍙?qiáng)涓€嬈￠」錛屽垯M-4=0,M=4
錛?3-N=0,N=3
鍒欐墍浠?M+N=7
2銆侊紙1錛夎繖棰樼殑鎬濊礬鏄?鏀瑰彉榪愮畻絎﹀彿錛?3-(B-A)鏁寸悊寰?3-錛?-A+B錛夛紝鍐嶆?℃暣鐞嗗緱鍒?3+A-B錛屾妸宸叉枟澶х煡A-B=-6浠ｅ叆錛屾墍浠?3-(B-A)=-3
錛?2錛夐亾鐞嗗拰涓婁竴棰樹(shù)竴鏍鳳紝鎶?8-6A+6B鏁寸悊寰楀埌8-6錛圓-B錛夛紝鎶婂凡鐭?A-B=-6浠ｅ叆錛屾墍浠?8-6A+6B=44
3銆侊紙1錛夎繖棰樼殑鎬濊礬鏄?閫嗛」鎬濈淮錛屾棦鐒朵竴涓?澶氶」寮廙鍑忓幓-3X+5錛屽緱5X^2-3X-1錛岄偅涔?5X^2-3X-1+錛?-3X+5錛?=M錛屾墍浠?M=5X^2-6X+4
4銆佽繖棰樺彧鑳界‖綆楋紝鍦ㄨ?＄畻鐨勮繃紼嬩腑璁頒綇鎶婂悓綾婚」鐢ㄥ悓涓?縐嶆柟寮忔爣鍑猴紝鍙?浠ヤ究浜庤繍綆椼??
錛?1錛?3A+2B=3X^3-8X
錛?2錛?-2A-B
=-2X^3+X^2+4X-1/2
5銆佽繖棰樼殑鎬濊礬鏄?鍏堟妸閮戦攢綰疉姹傚嚭錛孉+(2X^2+5X-3)=-X^2+3X-7錛孉=-3X^2-2X-4錛岀劧鍚庢妸A浠ｅ叆A-(2X^2+5X-3)涓?寰楀埌-5X^2-7X-1
6銆佹牴鎹?棰樻剰錛屽簲鍒楀嚭浠ヤ笅琛ㄦ牸錛?
1錛欰
2錛欰+1
3錛欰+2
銆?
銆?
銆?
N錛欰+N-1
緇撴灉鏄疉+N-1
1.n/3
2.x^2
3.-a^3
4.(ab)^6
5.(xy)^7
6.-1/4 *b+1
7.3xy-2y^2
8.-6a^2+2/3
9.a^(2m-3n)=a^2m/a^3n=(4*4)/鍑?鍝楄～(3*3*3)=16/27
10.绔嬫柟鐩?鑵斾綋琛ㄩ潰縐?=媯遍暱x媯遍暱x6=錛?3ab2錛塣2*6=54a^2*b^4
11.(1)錛坸+2錛夛紙x-a錛?=x^2+(2-a)x-2a,渚濋?樻剰錛?2-a=0錛宎=2
錛?2錛夛紙x+3錛夛紙3x-a錛?=3x^2+(9-a)x-3a,渚濋?樻剰,9-a=0,a=9
(3)錛坸+3錛夛紙x2+ax+b錛?=x^3+(3+a)x^2+(3a+b)x+3b,渚濋?樻剰,3+a=0,3a+b=0,寰梐=-3,b=9
12.(x-1)^4=x^4-4x^3+6x^2-4x+1,鎵?浠?a鈭?4=1錛宎鈭?3=-4錛宎鈭?2=6錛宎鈭?1=-4錛宎鈭?0=1
錛?1錛?0 錛?2錛?16錛?3錛夎姦鐬?-16錛?4錛?-48
13.1.a2+b2 =錛坅+b錛塣2-2ab=31
2.錛坅-b錛?2=(a+b)^2-4ab=26
3.a-b=姝ｈ礋鏍瑰彿26
14.錛坅+b錛?2=11錛岋紙a-b錛?2=3錛屼袱寮忕浉鍑忓緱ab=2銆?1.a2+b2= 11-2ab=72.ab=2
15.姝ｈ礋1/3
16.3y^2-2
鏁村紡鏄?澶氶」寮忓拰鍗曢」寮忕殑鎬葷О錛庢暣寮忕殑涔橀櫎涓昏?佹槸澶氶」寮忕殑涔橀櫎錛庝笅闈㈡槸鍗滆京鏁村紡璁＄畻鐨勪竴浜涗範(fàn)棰橈紝甯屾湜瀵逛綘鐨勫?︿範(fàn)鍓嶅紛姝兼湁甯?鍔╋紒1錛庤?＄畻錛氥??銆?(1)(a- 2b+c)(a+2b-c)-(a+2b+c)2錛涖??銆?(2)(x+y)4(x-y)4錛涖??銆?(3)(a+b+c)(a2+b2+c2-ab-ac-bc)錛庛??銆?2錛庡寲綆?錛氥??銆?(1)(2x-y+z-2c+m)(m+y-2x-2c-z)錛涖??銆?(2)(a+3b)(a2-3ab+9b2)-(a-3b)(a2+3ab+9b2)錛涖??銆?(3)(x+y)2(y+z-x)(z+x-y)+(x-y)2(x+y+z)脳(x+y-z)錛庛??銆?3錛庡凡鐭?z2=x2+y2錛屽寲綆?(x+y+z)(x-y+z)(-x+y+z)(x+y-z)錛庛??銆?4錛庤?緁(x)=2x3+3x2-x+2錛屾収鍐叉眰f(x)闄や互x2-2x+3鎵?寰楃殑鍟嗗紡鍜屼綑寮忥紟
1錛?3ab-4ab+8ab-7ab+ab=______錛?
2錛?7x-(5x-5y)-y=______錛?
3錛?23a3bc2-15ab2c+8abc-24a3bc2-8abc=______錛?
4錛?-7x2+6x+13x2-4x-5x2=______錛?
5錛?2y+(-2y+5)-(3y+2)錛漘_____錛?
6錛?(2x2-3xy+4y2)+(x2+2xy-3y2)=______錛?
7錛?2a-(3a-2b+2)+(3a-4b-1)=______錛?
8錛?-6x2-7x2+15x2-2x2錛漘_____錛?
9錛?2x-(x+3y)-(-x-y)-(x-y)錛漘_____錛?
10錛?2x+2y-[3x-2(x-y)]=______錛?
11錛?5-(1-x)-1-(x-1)=______錛?
12錛?(
)+(4xy+7x2-y2)=10x2-xy錛?
13錛?(4xy2-2x2y)-(
)=x3-2x2y+4xy2+y3錛?
14錛庡凡鐭ユ槍涓朅=x3-2x2+x-4錛孊=2x3-5x+3錛岃?＄畻A+B=______錛?
15錛庡凡鐭?A=x3-2x2+x-4錛孊=2x3-5x+3錛岃?＄畻A-B=______錛?
16錛庤嫢a=-0.2錛宐=0.5錛?浠ｆ暟寮?-(|a2b|-|ab2|)鐨勫?間負(fù)______錛?
17錛庝竴涓?澶氶」寮?鍑忓幓3m4-m3-2m+5寰?-2m4-3m3-2m2-1錛岄偅涔堣繖涓?澶氶」寮忕瓑浜巁_____錛?
18錛?-(2x2-y2)-[2y2-(x2+2xy)]=______錛?
19錛庤嫢-3a3b2涓?5ax-1by+2鏄?鍚岀被欏?錛屽垯x=______錛寉=______錛?
20錛?(-y+6+3y4-y3)-(2y2-3y3+y4-7)錛漘_____錛?
21錛庡寲綆?浠ｆ暟寮?4x2-[7x2-5x-3(1-2x+x2)]鐨勭粨鏋滄槸______錛?
22錛?2a-b2+c-d3=2a+(
)-d3=2a-d3-(
)=c-(
)錛?
23錛?3a-(2a-3b)+3(a-2b)-b=______錛?
24錛庡寲綆?浠ｆ暟寮弜-[y-2x-(x+y)]絳変簬______錛?
25錛嶽5a2+(
)a-7]+[(
)a2-4a+(
)]=a2+2a+1錛?
26錛?3x-[y-(2x+y)]=______錛?
27錛庡寲綆?|1-x+y|-|x-y|(鍏朵腑x錛?0錛寉錛?0)絳変簬______錛?
28錛庡凡鐭ュ墠鐩痻鈮?y錛寈+y-|x-y|=______錛?
29錛庡凡鐭?x錛?0錛寉錛?0錛屽寲綆?|x+y|-|5-x-y|=______錛?
30錛?4a2n-an-(3an-2a2n)錛漘_____錛?
31錛庤嫢涓?涓?澶氶」寮忓姞涓?-3x2y+2x2-3xy-4寰?
2x2y+3xy2-x2+2xy錛?
鍒欒繖涓?澶氶」寮忎負(fù)______錛?
32錛?-5xm-xm-(-7xm)+(-3xm)=______錛?
33錛庡綋a=-1錛宐=-2鏃訛紝
[a-(b-c)]-[-b-(-c-a)]錛漘_____錛?
34錛庡綋a=-1錛宐=1錛宑=-1鏃訛紝
-[b-2(-5a)]-(-3b+5c)錛漘_____錛?
35錛?-2(3x+z)-(-6x)+(-5y+3z)=______錛?
36錛?-5an-an+1-(-7an+1)+(-3an)錛漘_____錛?
37錛?3a-(2a-4b-6c)+3(-2c+2b)=______錛?
38錛?9a2+[7a2-2a-(-a2+3a)]=______錛?
39錛庡綋2y-x=5鏃訛紝5(x-2y)2-3(-x+2y)-100=______錛?
40.褰搙=-2鏃訛紝浜屾??涓夐」寮?2x2+mx+4鐨勫?肩瓑浜?18錛岄偅涔堝綋x=2鏃訛紝璇ヤ簩嬈′笁欏瑰紡鐨勫?肩瓑浜?
41. 錛?2010?姊у窞錛夊厛鍖栫畝錛屽啀姹傚?鹼細(xì)錛?-x2+5x+4錛?+錛?5x-4+2x2錛夛紝鍏朵腑x=-2錛?
42. 鍏堝寲綆?錛屽啀姹傚?鹼細(xì)3錛坸-1錛?-錛坸-5錛夛紝鍏朵腑x=2錛?
43.鍏堝寲綆?錛屽啀姹傚?鹼細(xì)3錛?2x+1錛?+2錛?3-x錛夛紝鍏朵腑x=-1
44.鍏堝寲綆?錛屽啀姹傚?鹼細(xì)-2錛坢n-3m2錛?-[m2-5錛坢n-m2錛?+2mn]錛岃?愭?zhèn)旇偄鍏朵腑m=1錛宯=-2錛?
45.鍏堝寲綆?涓嬪紡錛屽啀姹傚?鹼細(xì)5錛?3a2b-ab2錛?-4錛?-ab2+3a2b錛夛紝鍏朵腑a=-2錛宐=3錛?
46.姹?
鐨勫?鹼紝鍏朵腑x=-2錛寉=
錛?
47.鍏堝寲綆?錛屽啀姹傚?鹼細(xì)5錛?3a2b-ab2錛?-3錛坅b2+5a2b錛夛紝鍏朵腑a=
錛宐=-
錛?
48.鍏堝寲綆?錛屽啀姹傚?鹼細(xì)錛?4a2-3a錛?-錛?1-4a+4a2錛夛紝鍏朵腑a=-2
49.鍖栫畝姹傚?鹼細(xì)3x2y-[2x2y-3錛?2xy-x2y錛?-xy]錛屽叾涓瓁=-1錛寉=-2
