"Application of Inverse Proportional Functions" PPT courseware

Description

"Application of Inverse Proportional Functions" PPT courseware

The general idea of ​​using the knowledge of inverse proportional functions to solve practical problems can be roughly divided into the following two steps: (1) Carefully review the problem and establish the inverse proportional function ________; (2) Based on the known conditions, find ______________ from a variable.

1. (4 points) Hongxing Middle School stores 120 tons of coal in winter. If x tons of coal are used every day, the approximate image of the functional relationship between the number of days of use y and x is ()

2. (4 points) Under the condition of constant temperature, by pressurizing the piston at the top of the cylinder again and again, measure the volume of gas in the cylinder and the pressure generated by the gas on the cylinder wall after each pressurization, as shown in the following table: Then the formula that can reflect the relationship between y and x is ()

3. (4 points) (2013·Qingdao) It is known that the area of ​​the rectangle is 36 cm2, and the lengths of the two adjacent sides are x cm and y cm respectively. Then the function image between y and x is roughly ()

4. (4 points) In a certain circuit, keeping the voltage constant, the current I (A) has an inverse proportional functional relationship with the resistance R (Ω). The image is as shown in the figure, then the voltage of this circuit is ()

A． 2V B. 5V

C. 10V D． 25V

14. (10 points) A shopping mall in a city purchases certain electrical appliances in batches. It is expected to purchase 3,600 units throughout the year. x units will be purchased in each batch, and each batch will require a shipping fee of 400 yuan.

(1) Write the functional relationship between the total annual shipping cost y (yuan) for purchasing this kind of electrical appliances in the shopping center and the number of units purchased in each batch x (units);

(2) If the total freight for the whole year is required not to exceed 50,000 yuan, how many units must be purchased in each batch?

15. (12 points) A car passes through a certain section of road at a constant speed. The required time t (h) and the driving speed v (km/h) satisfy the functional relationship: t = kv. The image is a curve as shown in the figure, and the endpoint are A(40,1) and B(m,0.5).

(1) Find the values ​​of k and m.

(2) If the driving speed cannot exceed 60 km/h, what is the minimum time required for a car to pass this road section?

16． (12 points) To make a product, the material needs to be heated to 60°C before operation. Assume the temperature of the material is y (°C), and the time calculated from the start of heating is x (minutes). It is understood that when the material is heated , the temperature y has a linear function relationship with time x; when heating is stopped for operation, y has an inverse proportional relationship with time x (as shown in the figure). It is known that the temperature of the material before processing is 15°C, and the temperature reaches 60°C after heating for 5 minutes.

(1) Find the functional relationship between y and x when heating the material and stopping heating;

(2) According to the process requirements, when the temperature of the material is lower than 15°C, the operation must be stopped. How long did it take from the start of heating to the stop of operation?

Keywords: Teaching courseware for the application of inverse proportional functions, Download PPT courseware for ninth-grade mathematics volume 1 of Hebei Education Edition, Download courseware for ninth-grade mathematics slides, Download PPT courseware for the application of inverse proportional functions, .PPT format;

For more information about the "Application of Inverse Proportional Function" PPT courseware, please click the "Application of Inverse Proportional Function ppt" tab.

"Applications of Inverse Proportional Functions" Inverse Proportional Function PPT Courseware 3:

"Applications of Inverse Proportional Functions" Inverse Proportional Function PPT Courseware 3 Review Review 1. What is an inverse proportional function? Generally, a function in the form of y=k/x (k is a constant k0) is called an inverse proportional function. 2. What is the graph of the inverse proportional function? It is a hyperbola 3. The graph of the inverse proportional function y=k/x...

"Applications of Inverse Proportional Functions" Inverse Proportional Function PPT Courseware 2:

"Applications of Inverse Proportional Functions" Inverse Proportional Function PPT Courseware 2 Learning Objectives 1. Experience the process of analyzing the relationship between two variables in practical problems and establishing a function model, and then solve the problem; 2. Understand the connection between mathematics and real life, and enhance application Consciousness, mention...

"Applications of Inverse Proportional Functions" PPT courseware of inverse proportional functions:

"Application of Inverse Proportional Function" Inverse Proportional Function PPT Courseware Application of Inverse Proportional Function The application of inverse proportion function is to use the knowledge of inverse proportion function to solve practical problems and geometric problems related to inverse proportion function. Through the established relationship of inverse proportion function,...

File Info

Update Time: 2024-11-20

This template belongs to Mathematics courseware Hebei Education Edition Ninth Grade Mathematics Volume 1 industry PPT template

Preview