分式计算题及详细答案过程30道
现出的：1.
ax+by+ay+bx
2.
x^3+1
3.
x^2+x^3
4.
x^2+x^3-2
5.
x^2-6x+8
6.
x^2-12x+35
7.
(x^3-1)+(x-1)(6x+11)
8.
x^4-1
9.
x^4+4
10.
b^2+ab+ac+bc
11.
x^3+y^3+z^3-3xyz
12.
x^6+8x^3+9
13.
x^2-100x+99
14.
x^2-x-y^2-y
15.
7x^2-19x-6
16.
8x^2-6x-9
17.
x+1)(x+2)-12
18.
x^2+(p+q)x+pq
19.
3x^3-6x^2+3
20.
a^2(x－2a)^2－a(x－2a)^2
21.
25m^2－10mn＋n^2
22.
x^2-3x-28
23.
y^4+2y^3-3y^2
24.
(x－1)^2*(3x－2)＋(2－3x)
25.
(x－2)^2－x＋2
26.
x^2-12x-28
27.
12a^2*b(x－y)－4ab(y－x)
28.
a^2＋5a＋6
29.
x^11-2x^10+x^9
30.
x^2+x
31.
x^3+x
32.
x^4+x
33.
100x^2+30xy+2y^2
34.
6y^2-16y+8
35.
6-7a-5a^2
36.
3x^2-17x+10
37.
6a^2-11ab+3b^2
38.
2m^3+3m^2-5m
39.
(x+y)^2-2(x+y)-3
40.
a^2-b^2+2ab-c^2
41.
m^2+2mn+n^2-1
42.
x^2-4y^2+4yz-z^2
43.
9x^2-4y^2-z^2+4yz
44.
-25+a^2+9b^2-6ab
45.
2x^2-100x-102
46.
x^2*y^2-7xy+10
47.
x^2-x-2
48.
-x^2*y+6xy-8y
49.
x^2-9y^2-x+3y
50.
x^2-7x-8
出不动了。。。
难度不随题号变化，解题方法不随题号变化，老少皆宜，童叟无欺。
答案：
1.
(a+b)(x+y)
2.
(x+1)(x^2-x+1)
3.
x^2*(x+1)
4.
(x-1)(x^2-2x+2)
5.
(x-2)(x-4)
6.
(x-5)(x-7)
7.
(x-1)(x+3)(x+4)
8.
(x^2+1)(x-1)(x+1)
9.
(x^2-2x+2)(x^2+2x+x)
10.
(b+c)(b+a)
11.
(x+y+z)(x^2+y^2+z^2-xy-yz-xz)
12.
(x+1)(x^2-x+1)(x+2)(x^2-2x+4)
13.
(x-99)(x-1)
14.
(x+y)(x-y-1)
15.
(7x+2)(x-3)
16.
(2x-3)(4x+3)
17.
(x+5)(x-2)
18.
(x+p)(x+q)
19.
(x-1)(x^2-x-1)
20.
a(a-1)(x－2a)^2
21.
(5m-n)^2
22.
(x-7)(x+4)
23.
y^2(y-1)(y+3)
24.
x(x－2)(3x－2)
25.
(x-2)(x-3)
26.
(x-14)(x+2)
27.
4ab(3a+1)(x-y)
28.
(a+2)(a+3)
29.
x^9*(x-1)^2
30.
x(1+x)
31.
x(1+x^2)
32.
x(1+x)(1-x+x^2)
33.
2(5x+y)(10x+y)
34.
2(3y-2)(y-2)
35.
(3-5a)(a+2)
36.
(3x-2)(x-5)
37.
(2a-3b)(3a-b)
38.
m(m-1)(2m+5)
39.
(x+y-3)(x+y+1)
40.
(a+b-c)(a+b+c)
41.
(m+n+1)(m+n-1)
42.
(x+2y-z)(x-2y+z)
43.
(3x+2y-z)(3x-2y+z)
44.
(a-3b-5)(a-3b+5)
45.
2(x-51)(x+1)
46.
(xy-5)(xy-2)
47.
(x-2)(x+1)
48.
-y(x-2)(x-4)
49.
(x-y)(x+3y-1)
50.
(x-8)(x+1)
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绛旓細1. 鍒嗗紡鏂圭▼锛氳В鏂圭▼锛(2x + 5) / 3 = 7 瑙ｅ喅杩囩▼锛氶鍏堬紝灏嗘柟绋嬩袱杈归兘涔樹互3锛屼互娑堥櫎鍒嗘暟锛(2x + 5) / 3 * 3 = 7 * 32x + 5 = 21 鎺ヤ笅鏉ワ紝浠庝袱杈瑰噺鍘5锛2x = 21 - 52x = 16 鏈鍚庯紝灏唜鐨勭郴鏁2闄や互2锛岃В鍑簒锛歺 = 16 / 2x = 8 鍥犳锛屾柟绋嬬殑瑙ｆ槸x = 8銆2. 鍒嗗紡鏂圭▼...
绛旓細1/2x=2/x +3 x/(x+1)=2x/(3x+3)+1 2/x -1=4/x^2 -1 5/x^2+x - 1/x^2 -x=0 5x/(3x-4)=1/(4-3x)-2 7/(x^2+x)+1/(x^2-x)=6/(x^2-1)1/(x-2)=(1-x)/(2-x) -3 3/(x+1)-2/(x+2)=x/(x^2+3x+2)x/(2x-3)+5/(3-2x)=4 1/(1-...
绛旓細绛旀锛氳杩欏悕瀛︾敓楠戣溅杩戒笂闃熶紞闇x灏忔椂锛屼緷棰樻剰鍒楁柟绋 15x = 2脳15x + 12銆傝В寰 x = 12銆傛楠岋細褰搙 = 12鏃讹紝2x = 2脳12 鈮 0锛屾墍浠 = 12鏄師鍒嗗紡鏂圭▼鐨勬牴锛屽苟涓旂鍚堥鎰忋傛墍浠ラ獞杞﹁拷涓婇槦浼嶆墍鐢ㄧ殑鏃堕棿涓12鍗冪背/灏忔椂 脳 1灏忔椂 = 12灏忔椂銆傜瓟锛氶獞杞﹁拷涓婇槦浼嶆墍鐢ㄧ殑鏃堕棿涓30鍒嗛挓銆備笁銆...
绛旓細鍚屽垎姣嶅垎鏁扮浉鍑忥紝鍒嗘瘝涓嶅彉锛屽垎瀛愮浉鍑忥紝鏈鍚庤鍖栨垚鏈绠鍒嗘暟銆備緥1锛5/9-1/9=5-1/9锛堝緱鏁板寲鎴愭渶绠鍒嗘暟锛=4/9 渚2锛3/4-1/4=3-1/4=2/4锛堝緱鏁板寲鎴愭渶绠鍒嗘暟锛=1/2 鍒嗘暟璁＄畻鏂规硶锛1銆佷笌鏁存暟杩愮畻涓殑鈥滃噾鏁存硶鈥濈浉鍚岋紝鍦ㄥ垎鏁拌繍绠椾腑锛屽厖鍒嗗埄鐢ㄥ洓鍒欒繍绠楁硶鍒鍜岃繍绠寰嬶紙濡備氦鎹㈠緥銆佺粨鍚堝緥銆佸垎閰...
绛旓細(30)7x+8=157x=15-8x=7梅7x=1鏌ョ湅鍏ㄩ儴60涓洖绛旂浉鍏抽棶棰樺叏閮100閬撴柟绋嬮甯绛旀涓銆佸～绌洪(姣忓皬棰3鍒,鍏24鍒) 1.(-1)2002-(-1)2003=___. 绛旀:2 2.宸茬煡鏌愭暟鐨 姣斿畠澶 ,鑻ヨ鏌愭暟涓簒,鍒欏彲鍒楁柟绋媉__. 绛旀: x=x+ 3.濡傚浘1,鐐笰銆丅銆丆銆丏鍦ㄧ洿绾縧涓.鍒橞C=___-CD,AB+___+CD=AD;...
绛旓細鏂圭▼涓よ竟閮戒箻浠(x+12)锛岀害鍘诲垎姣嶏紝寰15(x+12)=30x.瑙ｈ繖涓暣寮忔柟绋嬶紝寰梮=12.妫楠岋細褰搙=12鏃,x(x+12)=12(12+12)鈮0,鎵浠=12鏄師鍒嗗紡鏂圭▼鐨勬牴銆傦紙3锛2(1x+1x+3)+x锛2x+3=1銆傛暣鐞嗭紝寰2x+2x+3+x锛2x+3=1,鍗2x+2+x锛2 x+3=1,鍗 2x+xx+3=1.鏂圭▼涓よ竟閮戒箻浠(x+3...
绛旓細ax+by+ay+bx 2.x^3+1 3.x^2+x^3 4.x^2+x^3-2 5.x^2-6x+8 6.x^2-12x+35 7.(x^3-1)+(x-1)(6x+11)8.x^4-1 9.x^4+4 10.b^2+ab+ac+bc 11.x^3+y^3+z^3-3xyz 12.x^6+8x^3+9 13.x^2-100x+99 14.x^2-x-y^2-y 15.7x^2-19x-6 16.8x^2...
绛旓細=61/30 3銆2鍒嗕箣1-(2鍒嗕箣1-6鍒嗕箣1) =1/2-1/2+1/6 =0+1/6 =1/6 鍒嗘暟,鈥滄垚缁┾濈殑鎰忔,濡傝冭瘯鍒嗘暟銆傚垎鏁板崟浣,鎶婂崟浣嶁1鈥濆钩鍧囧垎鎴愯嫢骞蹭唤,琛ㄧず杩欐牱鐨勪竴浠芥垨鍑犱唤鐨勬暟鍙垎鏁般傝〃绀鸿繖鏍风殑涓浠界殑鏁板彨鍒嗘暟鍗曚綅銆 璇风粰涓浜涘垎鏁拌劚寮璁＄畻甯杩囩▼鍜岀瓟妗 ? 灏忔暟鑴卞紡璁＄畻21閬撶殑杩囩▼鍜岀瓟妗 0.35脳1.6+0.35...
绛旓細=2(x-3)/(x-2)^2*1/(x+3)*(x+3)(x-2)/(3-x)=-2/(x-2)3.锛坸-4y鍒嗕箣3x锛+锛4y-x鍒嗕箣x+y锛-锛坸-4y鍒嗕箣7y锛=3x/(x-4y)-(x+y)/(x-4y)-7y/(x-4y)=(3x-x-y-7y)/(x-4y)=(2x-8y)/(x-4y)=2 4.鍖栫畝[锛坅-2鍒嗕箣a锛-锛坅+2鍒嗕箣a锛塢涔橈紙a鍒嗕箣4-a...
