求大量分式计算题带过程和答案

2024-11-07 12:53:36
推荐回答(2个)
回答1:

就这么多了,虽然没到200,但已经够多了,你们老师也够狠的。简单的题目基本搜不到,我也没耐性再搜了,睡觉了,你要觉得还算满意就看着给分吧,不满意我也没办法了。

下面这个只要关注那些计算题就可以了,不用管别的题型
http://www.google.cn/search?hl=zh-CN&client=firefox-a&channel=s&rls=org.mozilla%3Azh-CN%3Aofficial&newwindow=1&q=%E5%88%86%E5%BC%8F%E8%AE%A1%E7%AE%97%E9%A2%98%E5%8F%8A%E7%AD%94%E6%A1%88&btnG=Google+%E6%90%9C%E7%B4%A2&aq=f&oq=
这里也有一些
http://www.raedu.com.cn/jlcenter/kejian/003/2005061165218.ppt

http://www.chinaedu.com/101resource004/wenjianku/200405/101ktb/lanmu/XF2S0124/XF2S0124.htm

http://221.193.253.38/czshang/04/BS_XK09_NJ08/ZY20070105113708171/WBZY/SC20070124104340343.doc

http://www.jm.vcmedu.com/vcmtcs/trcRoot/fodderUp/10001144/100011440001/1000114400010004/10001144000100048873/0000004038/0000003490/1201833856916.doc

下面是在百度知道里整理的:

几道初一的分式计算题

一1/(a^2-ab-ac+bc)+1/(b^2-ab-bc+ac)

二1-(4x)/(2x+y)-(2x+y)/(2x-y)-(8xy)/(4x^2-y^2)

答案 :

(一).原式=1/[a(a-b)-c(a-b)]+1/[-b(a-b)+c(a-b)]
=1/(a-b)(a-c)+1/(a-b)(c-b)
=[(c-b)+(a-c)]/(a-b)(a-c)(c-b)
=1/(a-c)(c-b).
(二).原式=1-[4x(2x-y)+(2x+y)^2+8xy]/(4x^2-y^2)
=1-(12x^2+8xy+y^2)/(4x^2-y^2)
=-2(2x+y)^2/(2x+y)(2x-y)
=-2(2x+y)/(2x-y).

1/(x-y-z)+2/(-x+y+z)-3/(x+y-z)-4/(z-x-y)
答案:1/(x-y-z)+2/(-x+y+z)-3/(x+y-z)-4/(z-x-y)
=-1/(-x+y+z)+2/(-x+y+z)-3/(x+y-z)+4/(x+y-z)
=1/(-x+y+z)+1/(x+y-z)

x²/(2y²)÷(2y²)/x
答案:
x²/(2y²)÷(2y²)/x
=x²/模闭陪(2y²)*x/(2y²)
=x^3/4y^4
题目:
b/(a+b)-a/a-b

(a-b/ab)+(b-c/bc)+(c-a/ca)

(1/x-1)-(1/x+1)-(2/x^2+1)

(4/态谨a+2)+a-2
答案:
b/(a+b)-a/(a-b)
=[b(a-b)-a(a+b)]/(a²-b²)
=(-b²-a²)/(a²-b²)
=(b²+a²)/(b²-a²)

(a-b/ab)+(b-c/bc)+(c-a/ca)
=(1/b)-(1/a)+(1/c)-(1/b)+(1/a)-(1/c)
=0

(1/x-1)-(1/x+1)-(2/x²+1)
=[(x+1)-(x-1)]/(x²-1)-2/(x²+1)
=2/(x²-1)-2/(x²+1)
=2[(x²+1)-(x²-1)]/(x^4-1)
=4/(x^4-1)

(4/a+2)+a-2
=4/(a+2)+(a²-4)/(a+2)
=[4+(a²-4)]/(a+2)
=a²/(a+2)
题目:

5/6xy - 2/3xz + 3/4xyz


【(x^5-x³y²)/(y^4)】·(1/x²y²)旦蠢³ - (x+y)/y³
答案:
1)5/6xy - 2/3xz + 3/4xyz
=10z/(12xyz)-8y/(12xyz)+9/(12xyz)
=(10z-8y+9)/(12xyz)

2)【(x^5-x³y²)/(y^4)】·(1/x²y²)³ - (x+y)/y³
=(x^5-x^3y^2)/(y^4x^6y^6)-(x+y)/y^3
=(x^2-y^2)/(x^3y^10)-(x+y)/y^3
=(x+y)/y^3*((x-y)/(x^3y^7))

题目:
1.x-z/xy - 2ab/xy
2.a²+b²/a-b - 2ab/a-b
答案:
1
=(x-z-2ab)/xy
2
=(a²-2ab+b²)/a-b
=(a-b)²/a-b
=a-b
题目:
〔(A^2-B^2)/(AB+B^2)〕-〔(AB)/(AB-B^2)〕+(A/B)
答案:
〔(A^2-B^2)/(AB+B^2)〕-〔(AB)/(AB-B^2)〕+(A/B)

=[(A+B)(A-B)/B(A+B)]-[AB/(B(A-B)]+A/B

=(A-B)/B-A/(A-B)+A/B

=(2A-B)/B-A/(A-B)

=[(2A-B)(A-B)-AB]/[B(A-B)]

=(2A^2-4AB+B^2)/[B(A-B)]
题目:
1,已知b-1的相反数等于它本身,ab与-2互为相反数,求ab分之1+(a+1)(b+1)分之1+……+(a+2009)(b+2009)分之1的值
2,已知(x-1)(x-2)分之3x-4=x-1分之A+x-2分之B,求A,B的值
答案:
1,已知b-1的相反数等于它本身,ab与-2互为相反数,求ab分之1+(a+1)(b+1)分之1+……+(a+2009)(b+2009)分之1的值
-(b-1)=b-1,解得b=1
ab+(-2)=0,解得:a=2

原式=1/1*2+1/2*3+...+1/2010*2011
=1-1/2+1/2-1/3+...+1/2010-1/2011
=1-1/2011
=2010/2011

2,已知(x-1)(x-2)分之3x-4=x-1分之A+x-2分之B,求A,B的值
解:(3x-4)/((x-1)(x-2))=a/(x-1)+b/(x-2)
(3x-4)/((x-1)(x-2))=(a(x-2)+b(x-1))/((x-1)(x-2))
(3x-4)/((x-1)(x-2))=(ax-2a+bx-b)/((x-1)(x-2))
(3x-4)/((x-1)(x-2))=((ax+bx)-(2a+b))/((x-1)(x-2))
(3x-4)/((x-1)(x-2))= ((a+b)x-(2a+b))/((x-1)(x-2))
a+b=3 ,2a+b=4
a=1 ,b=2
题目:
1.当K取何值时,分式方程6/x-1=x+k/x(x-1)-3/x有解?
2.若方程1/x-1=2/x-a有一个正整数解,求a的取值情况。
3.甲乙两地相距48km,一艘轮船从甲地顺流行至乙地所用的时间与这艘轮船逆流行完甲乙两地间路程的一半所用时间相等,已知水流的速度为4km/h,求这艘轮船在静水中的速度。
4.{x^2-y^2/xy}^2÷(x=y)*{x/x-y}^3
5.3-x/x-2÷(x+2-5/x-2)

答案:
1.关于x的分式方程1/(x-2)+k/(x+2)=4/(x^2-4)有增根x=-2,求k

X+2+K(X-2)=4
代入K=1

2.关于x的方程x+1/x=c+1/c的解是x1=c,x2=1/c,若x-3/x=c-3/c的解是x1=c,x2=-3/c,则(1)x+2/x=a+2/a的解为_____;(2)x+3/(x-1)=a+3/(a-1)的解为_____。

(1)x=a或x=2/a,(2)x=a或x=3/(a-1)

3.(1):
原题=1-1/2+1/2-1/3....+1/99-1/100
=1-1/100
(2):根据(1)得:

1-1/2+1/2-1/3+.....+1/N-1/(N+1)
=1-1/(N+1)

3.(1)1/1*2+1/2*3+1/3*4+...+1/99*100=(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/99-1/100)=1-1/100=99/100
(2)1/1*2+1/2*3+1/3*4+...+1/n(n+1)==(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+[1/n-1/(n+1)]=1-1/(n+1)=n/(n+1)
题目:
1.约简分式:a^2+1-b^2除以-a-b=( ),(a-b)^2除以(b-a)^3=( ).
2.把a(c+d)^-2除以a^-1b^-3化成只含有正整数指数的形式是( )
3.计算:2除以1-a+2a除以a-1=( ),1-1除以a+1=( )
4.(-a^2/b)^2(-b/2a)^3除以(1/a^3b^2)^4=( ),(x^2-4/x^2-4x+4)*(x^2-2x/x+2)
5.已知:3x-y=0,求(1+2y^2/x^2-y^2)除以(1+2y/x-y)的值.

答案:
1.约简分式:a^2+1-b^2除以-a-b=( ),(a-b)^2除以(b-a)^3=( ).

前一题:分子=(a^2-b^2)+1=(a+b)(a-b)+1 平方差公式
分母=-(a+b)上下约分约掉(a+b) 整理
答案为:b-a-1

后一题:分子=(a-b)^2
分母=(b-a)(b-a)^2 整理,因为是平方所以(a-b)^2=(b-a)^2
答案为:(b-a)分之一

2.把a(c+d)^-2除以a^-1b^-3化成只含有正整数指数的形式是( )

分子=a乘以【(c+d)^2分之一】=a除以(c+d)^2
分母=a分之一 乘以 b^3分之一 = (a乘以b^3)分之一

整理,答案为:(a^2b^3)除以(c+d)^2

3.计算:2除以1-a+2a除以a-1=( ),1-1除以a+1=( )

前一题:把后面一个分式提出一个负号使他的分母变成1-a
则分母相同,中间的加号变为减号,直接相减
答案为 (2-2a)除以(1-a)约分=2

后一题:通分,前一个式子变为(a+1)除以(a+1)
分子=a+1-1=a
分母=a+1
答案为:a除以(a+1)

4.(-a^2/b)^2(-b/2a)^3除以(1/a^3b^2)^4=( ),(x^2-4/x^2-4x+4)*(x^2-2x/x+2)
前一题:
分子=(a^4/b^2)*(-b^3/8a^3)=(-ab)除以8
分母=1除以(a^12b^8)
整理约分 答案为:(-a^13b^9)除以8

后一题:
前一个式子的分子=【(x+2)(x-2)】除以(x-2)^2
约分后前一个式子=(x+2)/(x-2)
后一个式子的分子=x(x-2)
后一个式子=【x(x-2)】除以(x+2)
两个式子相乘约分
答案为:x

5.已知:3x-y=0,求(1+2y^2/x^2-y^2)除以(1+2y/x-y)的值.
(1+2y^2/x^2-y^2)=(1+2y^2)除以【(x+y)(x-y)】
与(1+2y/x-y)约分后得
(1+2y^2)除以(x+y)(1+2y)
又因为 3x-y=0,所以y=3x,带入上式,

分式方程的题目:
1/2x=2/x+3
对角相乘
4x=x+3
3x=3
x=1
分式方程要检验
经检验,x=1是方程的解

x/(x+1)=2x/(3x+3)+1
两边乘3(x+1)
3x=2x+(3x+3)
3x=5x+3
2x=-3
x=-3/2
分式方程要检验
经检验,x=-3/2是方程的解

2/x-1=4/x^2-1
两边乘(x+1)(x-1)
2(x+1)=4
2x+2=4
2x=2
x=1
分式方程要检验
经检验,x=1使分母为0,是增根,舍去
所以原方程无解

5/x^2+x - 1/x^2-x=0
两边乘x(x+1)(x-1)
5(x-1)-(x+1)=0
5x-5-x-1=0
4x=6
x=3/2
分式方程要检验
经检验,x=3/2是方程的解

5x/(3x-4)=1/(4-3x)-2
乘3x-4
5x=-1-2(3x-4)=-1-6x+8
11x=7
x=7/11
分式方程要检验
经检验
x=7/11是方程的解

1/(x+2) + 1/(x+7) = 1/(x+3) + 1/(x+6)
通分
(x+7+x+2)/(x+2)(x+7)=(x+6+x+3)/(x+3)(x+6)
(2x+9)/(x^2-9x+14)-(2x+9)/(x^2+9x+18)=0
(2x+9)[1/(x^2-9x+14)-1/(x^2+9x+18)]=0
因为x^2-9x+14不等于x^2+9x+18
所以1/(x^2-9x+14)-1/(x^2+9x+18)不等于0
所以2x+9=0
x=-9/2
分式方程要检验
经检验
x=-9/2是方程的解

7/(x^2+x)+1/(x^2-x)=6/(x^2-1)
两边同乘x(x+1)(x-1)
7(x-1)+(x+1)=6x
8x-6=6x
2x=6
x=3
分式方程要检验
经检验,x=3是方程的解

化简求值。[X-1-(8/X+1)]/[X+3/X+1] 其中X=3-根号2
[X-1-(8/X+1)]/[(X+3)/(X+1)]
={[(X-1)(X+1)-8]/(X+1)}/[(X+3)/(X+1)]
=(X^2-9)/(X+3)
=(X+3)(X-3)/(X+3)
=X-3
=-根号2

8/(4x^2-1)+(2x+3)/(1-2x)=1
8/(4x^2-1)-(2x+3)/(2x-1)=1
8/(4x^2-1)-(2x+3)(2x+1)/(2x-1)(2x+1)=1
[8-(2x+3)(2x+1)]/(4x^2-1)=1
8-(4x^2+8x+3)=(4x^2-1)
8x^2+8x-6=0
4x^2+4x-3=0
(2x+3)(2x-1)=0
x1=-3/2
x2=1/2
代入检验,x=1/2使得分母1-2x和4x^2-1=0。舍去
所以原方程解:x=-3/2

(x+1)/(x+2)+(x+6)/(x+7)=(x+2)/(x+3)+(x+5)/(x+6)
1-1/(x+2)+1-1/(x+7)=1-1/(x+3)+1-1/(x+6)
-1/(x+2)-1/(x+7)=-1/(x+3)-1/(x+6)
1/(x+2)+1/(x+7)=1/(x+3)+1/(x+6)
1/(x+2)-1/(x+3)=1/(x+6)-1/(x+7)
(x+3-(x+2))/(x+2)(x+3)=(x+7-(x+6))/(x+6)(x+7)
1/(x+2)(x+3)=1/(x+6)(x+7)
(x+2)(x+3)=(x+6)(x+7)
x^2+5x+6=x^2+13x+42
8x=-36
x=-9/2

经检验,x=-9/2是方程的根。

(2-x)/(x-3)+1/(3-x)=1
(2-x)/(x-3)-1/(x-3)=1
(2-x-1)/(x-3)=1
1-x=x-3
x=2
分式方程要检验
经检验,x=2是方程的根

回答2:

也想要!

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