[20分]公式的主項變換20條[20分]

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答案如下:

1g. 5(x a)=6b
5x 5a=6b
5x=6b-5a
x=6b/5-a
Ans:6b/5-a=x

1f. 3x/p -2=5g
3x/p=5g 2
3x=p(5g 2)
Ans:x=p(5g 2)/3

1p. 2(t-x)=4s
t-x = 2s
t = x 2s
t-2s = x
Ans:x=t-2s

1q. m(5-2x)=n
5-2x = n/m
5 = n/m 2x
5-n/m = 2x
Ans:5/2 - n/2m=x

1r. a(2x b)= (a^2) --這個是否 a 的2次方??
2x b = a
2x = a-b
x = (a-b)/2
Ans:a-b/2=x

1t. A=n(4y 3x)
A/n = 4y 3x
A/n-4y = 3x
Ans:A/3n - 4y/3=x

1u. F=9/5x 32 -- 計不到, 是否打錯題 or Ans?
f-32 = 9/5x
Ans:x=5/9(f 32)

3.當2-a=2a 3b/3時，以b表a。
6-3a = 2a 3b
6-3b = 5a
3(2-b) = 5a
Ans:a=3/5(2-b)

4.當mn^2=pm-5n，則m= --- 想不到計法
Ans:5n/p-n^2=m

5.若S=n/2[2a (n-1)d]，則d=
2S/n = 2a (n-1)d
2S/n-2a-(n-1) = d

Ans:d=2(S-an)/n(n-1)

6.把公式B=A/3C-D的主項變換為C。
B D = A/3C
Ans:A/3(B D)=C

7.設b/a-by=c，以a，b及c表示y‧8.若x=1- 1/1-y，則y= --- 不懂計~~
Ans:y=ac-b/bc

8.若A=bn/9 ny，則n= --- 這是計 (n=?) or (y=?) ???
Ans:1- 1/1-x=y

9.若x=y-1/y 1，則y= --- 不懂計~~
Ans:y=x 1/1-x

10.若a=3bc/2b-c，則b=
2ab-ac = 3bc
2ab-3bc = ac
b(2a-3c) = ac
Ans:b=ac/3c-2a

11.把公式2m=2m 3n/4 n的主項變換為m。
8m 2mn = 2m 3n
6m 2mn = 3n
2m(3 n) = 3n
Ans:m=3n/2(3 n)

12.若p=q nr/n 2，則n=
pn 2p = q nr
pn-nr = q-2p
n(p-r) = q-2p
Ans:n=q-2p/p-r

13.若1/f=1/u - 1/v，則v= --- 不懂計~~
Ans:v=uf/f-u

14.若b=2a-1/a 2，則a=
ab 2b = 2a-1
2b 1 = 2a-ab
2b 1 = a(2-b)
Ans:a=2b 1/2-b

15.若1=a b/ab，則b=
ab = a b
ab-b = a
b(a-1) = a
Ans:b=a/a-1

16.*　若x=1/(3/y 2/z)，則z=
x = 1/ [(3z 2y)/yz]
(3zx 2yx)/yz = 1
3zx 2yx = yz
2yx = yz-3zx
2yx = z(y-3x)
Ans:z=2xy/y-3x

1.g)x+a=6b/5
x =6b/5-a
1.f)3x/p=5g-2
3x=p(5g-2)
x=p(5g-2)/3
1p.2(t-x)=4s
t-x=2s
x=t-2s
1q.m(5-2x)=n
5-2x=n/m

Ans:5/2 - n/2m=x
1r.a(2x+b)=a^2
Ans:a-b/2=x
1t.A=n(4y+3x)
Ans:A/3n - 4y/3=x
1u.F=9/5x +32

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