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

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

Application of inverse proportional function

The application of inverse proportional functions is to use the knowledge of inverse proportional functions to solve practical problems and geometric problems related to inverse proportional functions. Through the established relationship of inverse proportional functions, specific practical problems can be transformed into mathematics for exploration and solution. This is also a test for the high school entrance examination. One of the hot spots. The question types are mainly fill-in-the-blank questions and multiple-choice questions.

1. Further understand and master the meaning of the inverse proportional function and the image and properties of the inverse proportional function, and be able to determine the analytical formula of the inverse proportional function y=k/x (k≠0, k is a constant) based on relevant conditions.

2. Further understand and master the relationship between inverse proportional functions and fractions and fractional equations, and combine them with other knowledge such as linear functions to solve mathematical problems related to them.

3. Proficiently use the knowledge of inverse proportional functions to solve related practical and geometric problems.

Idea analysis: This is an application problem of the inverse proportional function in practice. The function expression can be obtained directly from the image, and the corresponding pressure and area can be obtained based on the known conditions.

Knowledge test: Test the application of inverse proportional functions in practical problems.

Multiple choice questions

(2006·Lanzhou) As shown in the figure, P1, P2, and P3 are three points on the hyperbola. Draw the vertical lines of the y-axis through these three points respectively, and obtain three triangles OP1A1, OP2A2, and OP3A3. Let their areas be are S1, S2, and S3 respectively, then ( )

A.S1

C.S1< S3< S2 D. S1=S2=S3

(2005·Ningbo) As shown in the figure, the graphs of the direct proportional function y=x and the inverse proportional function intersect at two points A and C. Through A and C respectively, draw AB⊥x with the axis on B and CD⊥x with the axis on D, then the quadrilateral ABCD The area is ( )

A.1 B.3/2 C.2 D.5/2

(2005·Dongying) On the graph of the inverse proportional function y=k/x(k≠0), there are two points A(x1, y1), B(x2, y2), and x1>x2, then the value of y1-y2 yes( )

A. Positive number B. Negative number C. Non-positive number D. Uncertain

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"Application of Inverse Proportional Functions" PPT courseware uses the knowledge of inverse proportional functions to solve practical problems. The general idea can be roughly divided into the following two steps: (1) Carefully review the question and establish the inverse proportional function ________; (2) Based on the known conditions, find the solution from a variable ______________..

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Update Time: 2024-10-13

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