公式的主項變換

Ｑ１）L = mx - nx [x]
L = mx - nx
L = (m-n)x
x = L/(m-n)
=================================
Ｑ２）2bf = bg + 4 [b]
2bf = bg + 4
2bf - bg = 4
b(2f - g) = 4
b = 4/(2f-g)
=================================
Ｑ３）h = K / 5 ( L + m ) [K]
h = K/ 5(L+m)
h[5(L+m)] = K
K = 5h(L+m)
=================================
Ｑ４）x = L ( 1 + KT ) [T]
x = L(1+KT)
x/L = 1 + KT
x/L - 1 = KT
(x - L)/L = KT
T = (x-L)/KL
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Ｑ５）S ( 1 - R ) = a [R]
S(1-R) = a
1-R = a/S
1-a/S = R
(S-a)/S = R
R = (S-a)/S

1)L = mx - nx [x]

L = mx - nx
L=x(m-n)
L/(m-n)=x
x=L/(m-n)
-------------------------------------------------------------------------------------------------------
2)2bf = bg + 4 [b]

2bf = bg + 4
2bf-bg=4
b(2f-g)=4
b=4/(2f-g)
-------------------------------------------------------------------------------------------------------
3)h = K / 5 ( L + m ) [K]

h = K / 5 ( L + m )
h( L + m ) =K/5
5h( L + m )=K
K= 5h( L + m )
-------------------------------------------------------------------------------------------------------
4)x = L ( 1 + KT ) [T]

x = L ( 1 + KT )
x=L + LKT
x-L=LKT
(x-L)/(LK)=T
T=(x-L)/(LK)
-------------------------------------------------------------------------------------------------------
5)S ( 1 - R ) = a [R]

S ( 1 - R ) = a
S-SR=a
-SR=a-S
R=-(a-S)/S
=========================================================
記住公式的主項要在左邊

Ｑ１）L = mx - nx [x]

L = x ( m - n ) ... 因式分解
x = L / ( m - n )


Ｑ２）2bf = bg + 4 [b]

2bf - bg = 4
b ( 2f - g ) = 4 ... 因式分解
b = 4 / ( 2f - g )


Ｑ３）h = K / 5 ( L + m ) [K]

If ( L + m ) 是在分母 :
K = h ( 5 ) ( L + m )
K = 5h ( L + m )
If ( L + m ) 是獨立的一組乘數 :
K = 5h / ( L + m )


Ｑ４）x = L ( 1 + KT ) [T]

1 + KT = x / L
KT = ( x / L ) - 1
T = ( x - L / L ) x 1/K ... ÷ K = x 1/K
T = ( x - L ) / KL


Ｑ５）S ( 1 - R ) = a [R]

1 - R = a / S
- R = ( a / S ) - 1
R = - [ ( a / S ) - 1 ]
R = 1 - ( a / S )
或 = S - a / S

Ｑ１）L = mx - nx [x]
L=x(m-n)
x=Lm-Ln

Ｑ２）2bf = bg + 4 [b]
2bf-bg=4
b(2f-g)=4
b=4/(2f-g)

Ｑ３）h = K / 5 ( L + m ) [K]
h(L+m)=k/5
k=5h(L+m)

Ｑ４）x = L ( 1 + KT ) [T]
x=L+KTL
KTL=x-L
K=x-L/TL

Ｑ５）S ( 1 - R ) = a [R]
S-SR=a
SR=S-a
R=S-a/S

2007-01-02 15:30:22 補充：
Q.4係T=x-L/KL

(1)L=x(m-n)
x=L/(m-n)
(2) 2bf-bg=4
b(2f-g)=4
b=4/(2f-g)
(3) 5h(L+m)=k
k=5hL+5hm
(4) x=L+KLT
x-L/(KL)=T
T=x-L/(KL
(5) S-SR=a
R=S-a/S(由於有負號)