Category | Format | Size |
---|---|---|
People's Education High School Mathematics Edition A Compulsory Course 1 | pptx | 6 MB |
Description
"Exponential Function" Exponential Function and Logarithmic Function PPT Courseware (Application of Exponential Function and Its Properties in Lesson 2)
Part One: Learning Objectives
1. Master the properties of exponential functions and be able to apply them, and be able to use the monotonicity of exponential functions to compare powers and solve inequalities. (emphasis)
2. Through studying the content of this section, you can further understand that function graph is an important tool for studying functions, and be able to use exponential functions to study some practical problems. (difficulty)
core competencies
Cultivate logical reasoning and mathematical operation literacy with the help of the properties and applications of exponential functions.
Exponential function PPT, part 2: cooperative exploration to improve literacy
Using the monotonicity of exponential functions to compare sizes
[Example 1] Compare the sizes of the following groups of numbers:
(1)1.52.5 and 1.53.2;
(2)0.6-1.2 and 0.6-1.5;
(3)1.70.2 and 0.92.1;
(4) a1.1 and a0.3 (a>0 and a≠1).
[ Solution function, because 2.5<3.2, so 1.52.5<1.53.2.
(2)0.6-1.2,0.6-1.5 can be regarded as two function values of function y=0.6x,
Because the function y=0.6x is a decreasing function in R,
And -1.2>-1.5, so 0.6-1.2<0.6-1.5.
(3) From the properties of exponential functions, 1.70.2>1.70=1, 0.92.1<0.90=1,
So 1.70.2>0.92.1.
(4) When a>1, y=ax is an increasing function on R, so a1.1>a0.3;
When 0 regular method How to compare powers 1Construct an exponential function when comparing powers with the same base, and compare based on their monotonicity. 2. When the exponents have the same base but different bases, draw the graph of the exponential function with the base of the two powers as the base respectively. When x takes the same power as the exponent, the size of the function value can be observed. 3. When the base and exponent are different, use the power that is the same as one of the bases and the same exponent of the other to compare the two numbers, or use "1" to compare the two numbers. 4. When the base number contains parameters, the discussion should be classified and discussed according to the two situations of base number a>1 and 0 Class summary 1. The main way to compare the magnitude of two exponential values (1) To compare the sizes of shapes such as am and an, the monotonicity of the exponential function y=ax can be used. (2) Comparing the sizes of am and bn, generally find an "intermediate value c". If am 2. Points to note when solving simple exponential inequalities (1) Inequalities of the form ax>ay can be solved with the help of the monotonicity of y=ax. If the value of a is uncertain, it needs to be discussed in two cases: 01. (2) For inequalities of the form ax>b, pay attention to convert b into an exponential power with a as the base, and then solve it with the help of the monotonicity of y=ax. (3) Inequalities of the form ax>bx can be solved with the help of images. 3. (1) When studying the monotonic interval of type y=af(x), we should pay attention to whether a>1 or 0 When a>1, y=af(x) and f(x) are monotonic.
File Info
Update Time: 2024-07-08
This template belongs to Mathematics courseware People's Education High School Mathematics Edition A Compulsory Course 1 industry PPT template
"Exponential Function" Exponential Function and Logarithmic Function PPT Courseware (Application of Exponential Function and Its Properties in Lesson 2) Simple campus recruitment activity planning plan summary enterprise and institution recruitment publicity lecture PPT template is a general PPT template for business post competition provided by the manuscript PPT, simple campus recruitment activity planning plan summary enterprise and institution recruitment promotion Lecture PPT template, you can edit and modify the text and pictures in the source file by downloading the source file. If you want more exquisite business PPT templates, you can come to grid resource. Doug resource PPT, massive PPT template slide material download, we only make high-quality PPT templates!
Tips: If you open the template and feel that it is not suitable for all your needs, you can search for related content "Exponential Function" Exponential Function and Logarithmic Function PPT Courseware (Application of Exponential Function and Its Properties in Lesson 2) is enough.
How to use the Windows system template
Directly decompress the file and use it with office or wps
How to use the Mac system template
Directly decompress the file and use it Office or wps can be used
Related reading
For more detailed PPT-related tutorials and font tutorials, you can view: Click to see
How to create a high-quality technological sense PPT? 4 ways to share the bottom of the box
Notice
Do not download in WeChat, Zhihu, QQ, built-in browsers, please use mobile browsers to download! If you are a mobile phone user, please download it on your computer!
1. The manuscript PPT is only for study and reference, please delete it 24 hours after downloading.
2. If the resource involves your legitimate rights and interests, delete it immediately.
3. Contact information: service@daogebangong.com
"Exponential Function" Exponential Function and Logarithmic Function PPT Courseware (Application of Exponential Function and Its Properties in Lesson 2), due to usage restrictions, it is only for personal study and reference use. For commercial use, please go to the relevant official website for authorization.
(Personal non-commercial use refers to the use of this font to complete the display of personal works, including but not limited to the design of personal papers, resumes, etc.)