"Application of First Time Function" PPT download

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"Application of First Time Function" PPT download

Part One: Teaching Objectives:

1. Experience the process of applying a function to solve practical problems.

2. Improve the ability to obtain information from text, tables, and images.

3. Understand the relationship between functions and equations and their application value through practical problems.

Teaching focus: There should be a linear function to solve practical problems.

Difficulty: Understand mathematical modeling ideas and improve problem-solving abilities.

Application of a function PPT, the second part: try it

1. The charging standard for calls in a certain urban area is: 0.2 yuan for calls within 3 minutes (including 3 minutes). For every additional 1 minute (less than 1 minute, calculated as 1 minute), an additional 0.11 yuan will be charged. Then when the time When it exceeds 3 minutes, find the functional relationship between the phone fee y (yuan) and the time t (minutes).

2. In order to strengthen citizens’ awareness of water conservation, a certain city has formulated the following water charging standards: when each household uses no more than 10 tons of water per month, the water price is 1.2 yuan per ton; when it exceeds 10 tons, the excess portion is charged per ton. A fee of 1.8 yuan is charged. A certain household in the city used x tons of water (x>10) in May and should pay a water fee of y yuan. Find the functional relationship between y and x.

3. If points (1, 2) and (m, 3) are both on the graph of the proportional function y=kx, find the value of m.

4 It is known that the straight line y=kx+b passes through the points (-2,-1) and (2,-3). Find the functional analytical formula of this straight line.

5. The graph of a linear function is parallel to the straight line y=0.5x and passes through the point (4,7). Find the analytical formula of the function.

PPT on the application of linear functions, the third part: analysis of examples

Example 2: Two sporting goods stores A and B sell the same table tennis rackets and table tennis balls. The table tennis rackets are priced at 20 yuan per box and the table tennis balls are priced at 5 yuan per box. The two stores are currently conducting promotions. Store A: Give away a free racket for every purchase. A box of table tennis balls; Store B: Based on a 10% discount on the price, a certain class needs to purchase 4 pairs of rackets and several boxes of table tennis balls (not less than 4 boxes).

(1) Suppose the number of table tennis boxes purchased is The functional relationship between the number of payments for store purchases and the number of ping pong boxes x.

(2) Discuss which store is the most cost-effective to buy based on the number of table tennis boxes?

Example 3: A library carries out book rental business in two ways: one is to use membership cards, and the other is to use book rental cards. Using these two cards to rent books, the relationship between the rental amount y (yuan) and the rental time x (days) is as shown in the figure.

(1) Write down the functional relationship between the amount y (yuan) of renting a book using a book rental card and a membership card and the rental time x (days);

(2) How much does it cost to rent books per day for the two rental methods?

(3) If the use period of both types of book rental cards is one year, how to choose between these two book rental methods in this year is more cost-effective?

Application PPT of one-time function, the fourth part: endless aftertaste:

1. The image of the function y=2x passes through the points (0, 0) and (1, 2), and y increases with the increase of x;

2. The graph of function y=(a-2)x passes through the second and fourth quadrants, then the range of a is _______;

3. In function y=(1-k)x, y decreases as x increases, then the range of k is _______.

4. The coordinates of the intersection point of the straight line y=-3x-6 and the x-axis are _______, and the coordinates of the intersection point of the straight line y=-3x-6 and the y-axis are _______.

5. The straight line y=3x-1 passes through the _______ quadrant

The straight line y=-2x+5 passes through the _______ quadrant

Keywords: Free download of Hebei Education Edition mathematics PPT courseware for eighth grade volume 2, PPT download of application of one-time functions, .PPT format;

For more information about the "Application of a Single Function" PPT courseware, please click on the "Application of a Single Function ppt" tab.

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Update Time: 2024-09-12

This template belongs to Mathematics courseware Hebei Education Edition Eighth Grade Mathematics Volume 2 industry PPT template

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