1若y與2x成正比例,x與5 z成反比例,則y與z成正比例還是反比例 為什麼

時間 2021-09-05 12:01:54

1樓:唐衛公

1. y = 2ax (1)

x(5/z) = b, x = bz/5 (2)(2)代入(1): y = 2abz/5

y與z成正比例

2. yx² = a

代入x = 2, y = 4: a = 4*2² = 16y = 16/x²

x = -2, y = 16/(-2)² = 43. y = kx

代入x = -2, y = 6, k = -3反比例函式: y = -3/x

4. f = k/v

代入v = 50, f = 80, k = 4000 (km*°/h)

f = 4000/v

5. m = pv

代入p = 1.5, v = 5, m = 7.5 kgp = 7.5/v

v=5m³時,這個氣體的密度1.5kg/m³ (題中給出)6. 設高為h cm, v = x²h, h = v/x²s = 4xh = 4xv/x² = 4v/x = 3200/x cm²

成反比例

7. y₁ = ax, y₂ = b/x

y = ax + b/x

x = 2, y = 0: 2a + b/2 = 0 (i)x= -1, y = 2: -a -b = 2 (ii)聯立(i)(ii):

a = 2/3, b = -8/3y = 2x/3 - 8/(3x)

(1) x = -3, y = 2(-3)/3 - 8/(-3*3) = -10/9

(2) 10/9 = 2x/3 - 8/(3x)3x² - 5x -12 = 0

(3x + 4)(x - 3) = 0

x = -4/3或x = 3

2樓:匿名使用者

1。 (1)y = 2ax

×(用5 / z)= b的中,x = bz / 5(2)

(2)代入(1)為:y = 2abz / 5

y和z是成正比

2 yx 2 =一個

代入x = y時= 4:= * 2 2 = 16

為y = 16/2 br /> x = -2,y = 16 /(-2)2 = 4

3 y = kx

代入x = -2,y = 6, k = -3

反函式:y = -3 / x

4 f = k / v

代v = 50,f = 80,k = 4000(公里* °/ h) f = 4000 / v

5 m = pv

代以p = 1.5,v = 5,m = 7.5公斤

p = 7.5 / v

v = 5米3,氣體密度1.5公斤/立方米(的問題為h cm)

設定為高,v = x 2 ...... = v / x 2

s = 4xh = 4xv /×2 = 4v / x的= 3200 / x的釐米2

成反比的情況下

7 y? = ax,y? = b / x

為y =斧+ b / x

x = 2時,y = 0時:2a的+ b的/ 2 = 0(ⅰ)

= -1,y = 2時: -ab的= 2(ⅱ)

相關的李(ⅰ)(ⅱ):= 2/3,且b = -8 / 3

為y = 2倍/ 3 - /(3×)(1)×= -3,y = 2時(-3)/ 3 - 8 /(-3 * 3)= -10 / 9

(2)10/9 = 2倍/ 3 - 8 /( 3×)

3倍2 - 5倍-12 = 0

(3×4)( - 3)= 0

= -4 / 3或x = 3

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