A. 分式的加減計算題,怎麼做
B. 求30道同分母分式加減法(帶答案的)
你好,
8/11+5/11=13/11 1/3+2/3=1 11/19+8/19=1 4/15+1/15=1/3
5/9-5/9=0 5/4+7/4=3 2/3-2/3=0 5/7-4/7=1/7
3/5-2/5=1/5 7/8-5/8=1/2 7/12-1/12=1/2 17/8-7/8=5/4
1/6+1/6=1/3 8/3-2/3=2 5/11+5/11=10/11 5/8+2/8=7/8
6/7-3/7=4/7 5/7+5/7=10/7 11/29+6/29=17/29 9/11-17/19-6/19=11/19 5/6+1/6=1 6/10+6/10=6/5
3/5+3/5=6/5 1/20+2/20=3/20 3/4+3/4=3/2
1/6+5/6=1 5/9-2/9=1/3 5/6-2/6=1/2
5/7-5/7=0 11/14+9/14=10/7 7/12+3/12=5/6
5/8+7/8=13/8 3/5-1/5=2/5 7/7-3/7=4/7
8/9-4/9=4/9 7/8-2/8=5/8 9/9-4/9=5/9
2/9+4/9=2/3 5/6+7/6=2 9/12+2/12=11/12
祝你學習進步,更上一層樓!(*^__^*)
有不會的可以再問我。。
C. 同分母分式加減!計算題!
^1.分母不變,分子相加減,為
(2x-5+6-x-7+2x)/(x-2)^2
=3(x-2)/(x-2)^2
=3/(x-2)
2.第二個分式提個負號,分母變為一樣的,然後分子相加減,為
(x^2-y^2-x^2-4y^2+4xy+5y^2-4xy)/(x^2-9y^2)
=0
D. 分式加減法的計算題
2
a+1-a+3
a2-4a-5÷a2-9
a2-3a-10.
解
原式=[x+2
x(x-2)-x-1(x-2)2]??x
4-x
(括弧內分式的分母中的多項式式分解因式.分式的除法法則)
=[(x+2)(x-2)x(x-2)2-x(x-1)x(x-2)2]??x4-x(異分母的分式減法的法則)
=x2-4-x2+x
x(x-2)2??x4-x
(整式運算)
=x-4x(x-2)2??x4-x
(合並同類項)
=x-4
x(x-2)2??(-xx-4)
(分式的符號法則)
=-1(x-2)2.
(分式的乘法法則)
計算x+y
x2-xy
+(x2-y2
x)2??(1
y-x)3.
解
原式=x+y
x(x-y)+(x+y)2(x-y)2x2??1(y-x)3
=x+y
x(x-y)-(x+y)2
x2(x-y)
=x2+xy-x2-2xy-y2
x2(x-y)
=-xy-y2
x2(x-y)=-xy+y2
x2(x-y).
x-y+4xy
x-y)(x+y-4xyx+y)
答案x2-y2
[1
(a+b)2-1(a-b)2]÷(1a+b-1a-b)
答案2a
(a+b)(a-b);
x
x-y??
y2
x+y-x4y
x4-y4÷x2
x2+y2
答案-xy
x+y
3x-2
x2-x-2+(1-1x+1)÷(1+1x-1)
答案x2
(x+1)(x-2);
(2x
x+1+2
x-1+4x
x2-1)×(2x
x+1+2
x-1-4x
x2-1).
答案4
(2m^2-4m)/(2-m)(m-1)-(1+m)/(1-m^2)
=2m(m-2)/(2-m)(m-1)-(1+m)/(1-m)(1+m)
=-2m/(m-1)-1/(1-m)
=(2m-1)/(1-m)
(-1)-a^2)/(a-1)-a
=(1-a-a^2-a^2+a)/(a-1)
=-(2a^2-1)/(a-1)
(5/x-1)-(3/x+2)+(3/x+3)-(5/x-2)
原式=[5(x+2)-3(x-1)]/(x-1)(x+2)-[5(x+3)-3(x-2)]/(x-2)(x+3)
=(2x+13)/(x??+x-2)-(2x+21)/(x??+x-6)
=[(2x+13)(x??+x-6)-(2x+21)(x??+x-2)]/(x??+x-6)(x??+x-2)
=(2x??+16x??+x-78-2x??-23x??-17x+42)/(x??+x-6)(x??+x-2)
=(-7x??-16x-36)/(x^4+2x??-7x??-8x+12)
1/6x-4y
-
1/6x+4y
+3x/4y^2-9x^2
=[6x+4y-(6x-4y)-12x]/(36x^2-16y^2)
=(8y-12x)/(36x^2-16y^2)
=4(2y-3x)/[4(3x+2y)(3x-2y)]
=-1/(3x+2y)
(2)1/1-x
+1/1+x
+2/1+x^2
+4/1+x^4
=2/(1-x^2)+2/(1+x^2)+4/(1+x^4)
=4/(1-x^4)+4/(1+x^4)
=8/(1-x^8)
1.(2x分之3)
+
2
=
0
2.(x-1分之x)
+
(x+1分之2)
=1
3.(x+1分之1)
-
(x??+3x+2分之x??)=-1
3/2x=-2
3=-4x
x=-3/4
x/(x-1)+2/(x+1)=1
x(x+1)+2(x-1)=(x-1)(x+1)
x^2+x+2x-2=x^2-1
3x=1
x=1/3
1/(x+1)-x^2/(x^2+3x+2)=-1
1/(x+1)-x^2/(x+1)(x+2)=-1
(x+2)/(x+1)(x+2)-x^2(x+1)(x+2)=-1
x+2-x^2=-(x+1)(x+2)
x^2-x-2=x^2+3x+2
4x=-4
x=-1
拓展:原題=1-1/2+1/2-1/3....+1/99-1/100
=1-1/100
(2):根據(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)
E. 求30道分式加減或乘除計算題
一、選擇題
1.下列各式計算正確的是( )
A. ; B.
C. ; D.
2.計算 的結果為( )
A.1 B.x+1 C. D.
3.下列分式中,最簡分式是( )
A. B. C. D.
4.已知x為整數,且分式 的值為整數,則x可取的值有( )
A.1個 B.2個 C.3個 D.4個
5.化簡 的結果是( )
A.1 B. C. D.-1
二、填空題:
6.計算 的結果是____________.
7.計算a2÷b÷ ÷c× ÷d× 的結果是__________.
8.若代數式 有意義,則x的取值范圍是__________.
9.化簡 的結果是___________.
10.若 ,則M=___________.
11.公路全長s千米,騎車t小時可到達,要提前40分鍾到達,每小時應多走____千米.
三、計算題:
12. ; 13.
四、解答題:
14.閱讀下列題目的計算過程:
①
=x-3-2(x-1) ②
=x-3-2x+2 ③
=-x-1 ④
(1)上述計算過程,從哪一步開始出現錯誤?請寫出該步的代號:______.
(2)錯誤的原因是__________.
(3)本題目的正確結論是__________.
15.已知x為整數,且 為整數,求所有符合條件的x值的和.
F. 分式的加減,計算題!
G. 分式加減法的簡便運算和方程題目及答案,謝謝
先找到分母的公約數,即通分,再把分子一加就是,最簡單往往是最普通內的。另外,方程容範圍太大了,能具體點嗎?這里有一元方程,二元方程…一次的,二次的…有冪的,有對的…太多了,不過,最終都是化整為零,即
x=?
H. 分式加減法的題 要步驟
下面我都把它們改抄成正確書寫,襲你看看是不是這樣
①(a+b)/ab-(b+c)/bc=a/ab+b/ab-b/bc-c/bc=1/b+1/a-1/c-1/b=1/a-1/c
②3x/(x-3)²-x/(3-x)=3x/(3-x)²-x/(3-x)=(3x-x(3-x))/(3-x)²=x²/(x-3)²
③(3x/(x-2)-x/(x+2))*(x²-4)/x=(3x(x+2)-x(x-2))/(x²-4)*(x²-4)/x=(2x²+8x)/x=2x+4