"End of Chapter Review Lesson" Exponential Function and Logarithmic Function PPT

Description

"End of Chapter Review Lesson" Exponential Function and Logarithmic Function PPT

reminder to explore

Exponential and logarithmic operations

[Example 1] Calculation: (1)2log32-log3329+log38-5log53;

(2)1.5-13×-760+80.25×42+(32×3)6--2323.

regular method

Principles to be followed in the operations of exponents and logarithms

When performing exponential operations, first pay attention to the order of simplification. Generally, negative exponents are converted into positive exponents first, and radicals are converted into fractional exponent power operations. Secondly, if a fraction appears, attention should be paid to the factorization of the numerator and denominator to achieve the purpose of reduction. Logarithmic operations First of all, pay attention to the changes in the range during the application of the formula. The front and back must be equivalent. Skillfully use the three operational properties of logarithms and combine them with logarithmic identities. Changing base formulas is a commonly used technique for logarithmic calculations, simplifications, and proofs.

Track training

1. Assume 3x=4y=36, then the value of 2x+1y is ()

A． 6B． 3

C. 2D． 1

Graphics and applications of exponential functions and logarithmic functions

[Example 2] (1) If the graph of the function y=logax (a>0, and a≠1) is as shown in the figure, then the following function is correct ()

(2) It is known that the function f(x) is an even function defined on R. When x≥0, f(x)=12x.

①As shown in the figure, draw the graph of function f(x);

②Write the monotonic interval of f(x) based on the image, and write the value range of the function.

(1)B - From the graph of the known function, we can get that loga3 = 1, so a = 3. For term A, the analytical expression of the function is y = 3-x, which decreases monotonically on R, which is inconsistent with the graph; The analytical expression of the function in item C is y=(-x)3=-x3. When x>0, y<0, which is inconsistent with the image; the analytical expression of the function in item D is y=log3(-x), It is a monotonically decreasing function on (-∞, 0), which is inconsistent with the image; the analytical formula of the corresponding function in item B is y=x3, which is consistent with the image. So choose B.]

Keywords: Free download of PPT courseware for compulsory course 1 of Mathematics in High School People's Education A version, PPT download of end-of-chapter review course, PPT download of exponential function and logarithmic function, .PPT format;

For more information about the "End of Chapter Review Lesson Exponential Functions and Logarithmic Functions" PPT courseware, please click the End of Chapter Review Lesson ppt Exponential Functions and Logarithmic Functions ppt tag.

"End of Chapter Review Lesson" Newton's Laws of Motion PPT:

"End-of-Chapter Review Course" Newton's Laws of Motion PPT Part One Content: Consolidation Level Knowledge Integration [Core Quick Filling] 1. The relationship between force and motion: Force can _____ the motion state of an object. 2. Newton's first law: All objects remain at rest or __________..

"End of Chapter Review Lesson" Force and Balance PPT:

"End of Chapter Review Course" Strength and Balance PPT Part One Content: Consolidation Level Knowledge Integration [Core Quick Filling] 1. Synthesis and decomposition of force (1) Obey the rules: _________ rule or _________ rule. (2) The range of the resultant force of two common point forces: _________F_______..

"End of Chapter Review Lesson" interactive PPT:

"End-of-Chapter Review Lesson" Interactive PPT Part One: Consolidation Level Knowledge Integration [Core Quick Filling] 1. The concept of force (1)Vectorality: both ____ and ____. (2) Effect: Make the object ____, change the ____ of the object. 2. Gravity (1)Definition..

File Info

Update Time: 2024-07-04

This template belongs to Mathematics courseware People's Education High School Mathematics Edition A Compulsory Course 1 industry PPT template

Preview