九年級上學期第一次段考模擬卷
Authored by 黃俊賓 關山國中
Mathematics
9th Grade
Used 9+ times
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20 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
已知x:y = 2:3, y:z = 2:3, 則x:y:z = ________。
x:y:z = 4:6:9
x:y:z = 2:3:4
x:y:z = 6:9:12
x:y:z = 3:4:5
Answer explanation
由x:y = 2:3和y:z = 2:3可得，
x : y : z
2 : 3 乘2
2 : 3 乘3
4 : 6 : 9
x:y:z = 4:6:9，故正確答案為x:y:z = 4:6:9。
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
x =10
x = 30
x = 5
x = 12
Answer explanation
x : y : z = 3 : 4 : 6
x=3r
y=4r
z=6r
代入 x-2y+z=10
3r-2x4r+6r=10
3r-8r+6r=10
r=10
x=3r=3x10=30
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
4.
FILL IN THE BLANKS QUESTION
1 min • 1 pt
大文、小中和小小三兄弟常常用錢去逛夜市；已知大文用錢的2倍等於小小用錢的3倍；中中用錢的3倍等於小小用錢的4倍；若大文比中中多20元的零用錢，則三人共有多少元？
(a)
Answer explanation
設大大用錢為x，小小用錢為y，中中用錢為z。
根據題意可得方程：
2x = 3y，3z = 4y
x:y=3:2，y:z=3:4 (y值重疊，兩個比的y值要相同)
x:y:z=3X3 :2X3 : 4X2 = 9 : 6 : 8
x=9r 、y=6r 、z=8r 代入x = z + 20
9r = 8r + 20
r=20
x=9x20=180
y=6x20=120
z=8x20=160
三人共有460元
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
△CDE的面積為2。
△CDE的面積為3。
△CDE的面積為4。
△CDE的面積為5。
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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