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People's Education Press First Grade Mathematics Volume 2
Qingdao Edition Seventh Grade Mathematics Volume 2
Beijing Normal University Edition Fifth Grade Mathematics Volume 2
Category | Format | Size |
---|---|---|
People's Education High School Mathematics Edition A Compulsory Course 1 | pptx | 6 MB |
Description
"The Concept and Representation of Function" PPT courseware on the concept and properties of function (the third lesson piecewise function)
Part One: Learning Objectives
1. Understand the concept of piecewise function, be able to find the function value of piecewise function, and be able to draw the image of piecewise function. (main difficulty)
2. Be able to list piecewise functions in practical problems and solve related problems. (main difficulty)
3. Through the study of this section, students can understand the meaning of piecewise functions and improve their abilities in mathematical modeling and mathematical operations. (emphasis)
core competencies
1. Cultivate mathematical operation literacy through piecewise function evaluation problems.
2. Use piecewise functions to solve practical problems and cultivate mathematical modeling literacy.
The concept of function and its representation PPT, the second part: independent preview and exploration of new knowledge
A preliminary exploration of new knowledge
piecewise function
If a function y=f(x), x∈A has different corresponding relationships according to the different value ranges of the independent variable x in A, then such a function is called a piecewise function.
Thinking: Is the piecewise function one function or several functions?
Tip: A piecewise function is a function, not several functions.
First try
1. The formula given below is a piecewise function ()
①f(x)=x2+1, 1≤x≤5, 2x, x<1.
②f(x)=x+1, x∈R, x2, x≥2.
③f(x)=2x+3, 1≤x≤5, x2, x≤1.
④f(x)=x2+3, x<0, x-1, x≥5.
A. ①②B. ①④
C. ②④ D. ③④
B[Combined with the definition of piecewise function, it can be seen that ①④ are piecewise functions, and the definition domains of different corresponding relationships in ②③ overlap, so B.]
2. The value range of the function y=x, x≥0, -x, x<0 is ________.
3. Function f(x)=x+1, x≤1, -x+3, x>1, then f(f(4))=________.
The concept of function and its representation PPT, the third part of the content: cooperative exploration to improve literacy
Piecewise function evaluation problem
File Info
Update Time: 2024-09-29
This template belongs to Mathematics courseware People's Education High School Mathematics Edition A Compulsory Course 1 industry PPT template
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