Talk to Sales

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Talk to Sales
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第六单元 正比例和反比例

第三课时 练习课

一、甲、乙两台机器的工作时间和耗电量如下表:

时间/时 1 2 3 4 5 6
甲机器耗电量/千瓦时 30 60 90 120 150 180
乙机器耗电量/千瓦时 30 90 120 180 210 240

1. 根据表中数据,在图中描出工作时间和耗电量所对应的点,再把它们按顺序连起来。

Graph showing time (时间/时) on the x-axis (0 to 6, step 1) and electricity consumption (耗电量/千瓦时) on the y-axis (0 to 240, step 30). The graph is intended for plotting the data for machine A (甲) and machine B (乙).

图例: —— 甲 ------ 乙

Graph showing time (时间/时) on the x-axis (0 to 6, step 1) and electricity consumption (耗电量/千瓦时) on the y-axis (0 to 240, step 30). The graph is intended for plotting the data for machine A (甲) and machine B (乙).

2. 根据画出的图像, ( ) 机器的工作时间和耗电量成正比例。

3. 根据图像判断,工作2.5小时,甲机器的耗电量是( )千瓦时。

二、某商场的商品全部打九折出售。

1. 完成下表:

原价/元 100 200 300 400 500
现价/元

2. 完成下图:

Graph showing original price (原价/元) on the x-axis (0 to 600, step 100) and current price (现价/元) on the y-axis (0 to 600, step 100). The graph is intended for plotting the relationship between original price and current price after a 90% discount.
Graph showing original price (原价/元) on the x-axis (0 to 600, step 100) and current price (现价/元) on the y-axis (0 to 600, step 100). The graph is intended for plotting the relationship between original price and current price after a 90% discount.

3. 如果用 x 表示原价, y 表示现价, 那么

y = ext{\underline{\hspace{2cm}}} , 现价与原价是否成正比例?
为什么?

三、下面是某种汽车所行路程和耗油量的对应数值表。

所行路程/km 15 30 45 75
耗油量/L 2 4 6 10

1. 根据上表描点,再顺次连接各点。

Graph showing distance traveled (所行路程/km) on the x-axis (0 to 75, step 5) and fuel consumption (耗油量/L) on the y-axis (0 to 10, step 1). The graph is intended for plotting the data from the table.
Graph showing distance traveled (所行路程/km) on the x-axis (0 to 75, step 5) and fuel consumption (耗油量/L) on the y-axis (0 to 10, step 1). The graph is intended for plotting the data from the table.

2. 表中的耗油量与所行路程成正比例吗? 为什么?

3. 利用图像估算一下,汽车行驶60 km时的耗油量是多少升? 耗油量是5 L时,汽车能行驶多少千米?

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