"Practical Problems and Inverse Proportional Functions" Inverse Proportional Function PPT Courseware 2

Description

"Practical Problems and Inverse Proportional Functions" Inverse Proportional Function PPT Courseware 2

Challenge your memory: What are the properties of the graph of an inverse proportional function?

The inverse proportional function y=k/x is composed of two curves. When K>0, the two curves are located in the first and third quadrants respectively. In each quadrant, y decreases with the increase of x; when K< At 0, the two curves are located in the second and fourth quadrants respectively. In each quadrant, y increases with the increase of x.

collaborative inquiry

Dock workers loaded cargo onto a ship at a rate of 30 tons per day, and it took exactly eight days to load the ship.

(1) The ship starts unloading after arriving at its destination. What is the functional relationship between the unloading speed υ (unit: tons/day) and the unloading time t (unit: days)?

(2) During the actual transportation process, what changes may occur in the unloading speed and unloading time?

practice

The drainage pipe of a certain reservoir drains 8m3 per hour, and the entire pond can be emptied in 6 hours.

(1) What is the volume of the reservoir?

Solution: The volume of the reservoir is: 8×6=48 (m3).

(2) If a drainage pipe is added so that the drainage volume per hour reaches Q (m3), how will the time t (h) required to drain the full pool of water change?

Answer: At this time the required time t(h) will be reduced.

(3) Write the functional relationship between t and Q;

Solution: The functional relationship between t and Q is: t=48/Q

Reflect and improve

What did you gain from studying this lesson?

The key to using inverse proportional functions to solve practical problems is to establish an inverse proportional function model.

Homework:

Textbook P63 T 6, 7

Keywords: Inverse Proportional Function Teaching Courseware, Practical Problems and Inverse Proportional Function Teaching Courseware, New People’s Education Edition 8th Grade Mathematics Volume 2 PPT Courseware, 8th Grade Mathematics Slide Courseware Download, Inverse Proportional Function PPT Courseware Download, Practical Problems and Inverse Proportional Function PPT Courseware Download ,.ppt format

For more information about the "Practical Problems with Inverse Proportional Functions and Inverse Proportional Functions" PPT courseware, please click on the "Practical Problems with Inverse Proportional Functions ppt and Inverse Proportional Functions ppt" tag.

"Practical Problems and Inverse Proportional Functions" Inverse Proportional Function PPT Courseware 6:

"Practical Problems and Inverse Proportional Functions" Inverse Proportional Function PPT Courseware 6 Example 1 A gas company in a city wants to build a cylindrical gas storage room with a volume of 103 underground. (1) The bottom area S (unit: m2) of the storage room and its depth d (Unit: m) What kind of function is related to...

"Practical Problems and Inverse Proportional Functions" Inverse Proportional Function PPT Courseware 5:

"Practical Problems and Inverse Proportional Functions" Inverse Proportional Function PPT Courseware 5 What are the properties of the graph of the inverse proportional function? The inverse proportional function y=k/x is composed of two curves. When k0, the two curves are located in the ________quadrant, and in each In a quadrant, y depends on the _________ of x..

"Practical Problems and Inverse Proportional Functions" Inverse Proportional Function PPT Courseware 4:

"Practical Problems and Inverse Proportional Functions" Inverse Proportional Function PPT Courseware 4 Exploration Activity 1: The municipal gas company wants to build a cylindrical gas storage room with a volume of 104m3 underground. (1) The bottom area S (unit: m2) of the storage room and its depth What kind of function does d (unit: m) have?

File Info

Update Time: 2024-09-28

This template belongs to Mathematics courseware People's Education Press Eighth Grade Mathematics Volume 2 industry PPT template

Preview