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在设计集成电路板时，1块大型板L可以布局成4个小型处理器P和2个存储器M；1块中型板M可以布局成3个小型处理器P和4个存储器M.现需要布局32个小型处理器P和36个存储器M，问恰好需要多少块大型板L和中型板M？
答案
设需要大型板L为x块,中型板M为y块,则方程组为
$\begin{cases}4x + 3y = 32,\\2x + 4y = 36,\end{cases}$
解得
$\begin{cases}x = 2,\\y = 8.\end{cases}$
恰好需要2块大型板L和8块中型板M.
$\begin{cases}4x + 3y = 32,\\2x + 4y = 36,\end{cases}$
解得
$\begin{cases}x = 2,\\y = 8.\end{cases}$
恰好需要2块大型板L和8块中型板M.
2 某电子元件制造商以每个10元的成本价购入了3000个电阻器，并计划以每个15元的价格进行销售.若该制造商希望在两个月内通过销售这批电阻器所获得的收入至少覆盖其采购成本,那么至少需要售出多少个电阻器?
答案
设至少需要售出x个电阻器,则有
15x ≥ 3000×10
15x ≥ 30 000
x ≥ 2000
至少需要售出2000个电阻器.
15x ≥ 3000×10
15x ≥ 30 000
x ≥ 2000
至少需要售出2000个电阻器.
3 一家集成电路制造商计划生产一批芯片,预计固定成本为500万元,每生产一片芯片增加成本20元.若该制造商希望每片芯片的售价至少为50元时能获得20%的利润,那么至少需要生产多少片芯片来覆盖成本并实现赢利?
答案
设至少需要生产x片芯片来覆盖成本并实现20%的利润,则有
50x - 20x - 5 000 000 ≥ 0.2 × (5 000 000 + 20x)
26x ≥ 6 000 000
x ≥ 230 769.23
x取整数,即x ≥ 230 770
至少需要生产230 770片芯片.
50x - 20x - 5 000 000 ≥ 0.2 × (5 000 000 + 20x)
26x ≥ 6 000 000
x ≥ 230 769.23
x取整数,即x ≥ 230 770
至少需要生产230 770片芯片.
1 Choose the best answer and complete the passage.(选择最恰当的选项完成短文)
The Future of Electronics
The field of electronics is constantly (1), and the future holds many exciting possibilities. One of the most promising areas of the development is the Internet of Things (IoT). The IoT refers to the (2) of physical devices(设备), vehicles, home appliances(家用电器), and other items embedded with electronics, software, sensors(传感器), actuators(执行器), and connectivity which (3) these objects to connect and exchange data.
Imagine a world where your refrigerator can automatically order groceries(食品杂货) when you're running low, or your thermostat(恒温器) can adjust the temperature based on your preferences and the weather (4). This is the kind of future that the IoT promises to bring.
Another (5) area of development is Artificial Intelligence (AI). AI is the ability of machines to learn and perform tasks that would normally require human intelligence. AI is already being used in a variety of applications, such as facial recognition, natural language processing, and self-driving cars. In the future, AI is expected to play an even (6) role in our lives, from healthcare to education and transportation.
The future of electronics is full of possibilities. As technology continues to advance, we can expect to see even more amazing (7) that will change the way we live, work, and play.
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The Future of Electronics
The field of electronics is constantly (1), and the future holds many exciting possibilities. One of the most promising areas of the development is the Internet of Things (IoT). The IoT refers to the (2) of physical devices(设备), vehicles, home appliances(家用电器), and other items embedded with electronics, software, sensors(传感器), actuators(执行器), and connectivity which (3) these objects to connect and exchange data.
Imagine a world where your refrigerator can automatically order groceries(食品杂货) when you're running low, or your thermostat(恒温器) can adjust the temperature based on your preferences and the weather (4). This is the kind of future that the IoT promises to bring.
Another (5) area of development is Artificial Intelligence (AI). AI is the ability of machines to learn and perform tasks that would normally require human intelligence. AI is already being used in a variety of applications, such as facial recognition, natural language processing, and self-driving cars. In the future, AI is expected to play an even (6) role in our lives, from healthcare to education and transportation.
The future of electronics is full of possibilities. As technology continues to advance, we can expect to see even more amazing (7) that will change the way we live, work, and play.
(
B
) (1) A. appearing B. evolving C. changing D. growing(
A
) (2) A. network B. system C. group D. cluster(
B
) (3) A. makes B. enables C. permits D. lets(
C
) (4) A. notice B. information C. forecast D. announcement(
D
) (5) A. large B. surprise C. fascinating D. exciting(
A
) (6) A. greater B. large C. big D. important(
C
) (7) A. thoughts B. discoveries C. innovations D. creations答案
(1) B
(2) A
(3) B
(4) C
(5) D
(6) A
(7) C
(2) A
(3) B
(4) C
(5) D
(6) A
(7) C
