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People's Education High School Mathematics Edition B Compulsory Course 2
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Category | Format | Size |
---|---|---|
People's Education High School Mathematics Edition B Compulsory Course 1 | pptx | 6 MB |
Description
"Parity of Functions" Concept and Properties of Functions PPT (Application of Parity of Functions in Lesson 2)
Part One: Learning Objectives
Can use the parity and evenness of functions to find the analytical formula of the function
Able to use the monotonicity and parity of functions to solve comprehensive problems such as comparing sizes, finding optimal values, and solving inequalities.
Parity of functions PPT, part 2: interactive lecture and practice
Use parity and evenness to find the analytical expression of a function
If the function f(x) is an odd function defined on R, when x>0, f(x)=x2-2x-1, find the analytical formula of the function f(x).
Interactive exploration
1. (Various question method) Under the conditions of this example, find the value of f(-3).
2. (Variable conditions) Change the "odd function" in this example to an "even function", and other conditions remain unchanged. Find the analytical formula of the function f(x) when x<0.
regular method
The idea of using parity and evenness to find the analytical expression of a function
(1) "Set whomever you ask for", that is, in which interval you find the analytical formula, x will be set in that interval.
(2) Use the analytical expression of the known interval to substitute.
(3) Use the parity of f(x) to write -f(x) or f(-x), thereby solving f(x).
Comprehensive problem of parity and monotonicity of functions
Angle 1: Comparing size issues
Suppose the domain of the even function f(x) is R. When x∈[0,+∞), f(x) is an increasing function, then f(-2), f(π), f(- The size relationship of 3) is ()
A. f(π)>f(-3)>f(-2)
B. f(π)>f(-2)>f(-3)
C. f(π) D. f(π) Angle 2 Solving Inequalities It is known that the function f(x)=xx2+1 defined on (-1,1). (1) Try to judge the parity and monotonicity of f(x) on (-1, 1); (2) Solve the inequality f(t-1)+f(2t)<0. regular method Two types of parity and monotonicity comprehensive problems (1) Compare size ① When the independent variables are in the same monotonic interval, the monotonicity of the function is directly used to compare the magnitude; ② If the independent variables are not in the same monotonic interval, the parity of the function needs to be used to transform the independent variables into the same monotonic interval, and then the monotonicity is used to compare the sizes. (2) Solve the inequality ①Use the known conditions and combine the parity of the function to transform the known inequality into the form of f(x1)<f(x2) or f(x1)>f(x2); ②According to the fact that the monotonicity of odd functions on the symmetric interval is the same, and the monotonicity of the even function on the symmetric interval is opposite, take off the "f" in the inequality and convert it into a simple inequality (group) to solve. Parity of functions PPT, the third part: feedback on compliance 1. Among the following functions, the function that is both an even function and monotonically increasing on (0, +∞) is () A. y=x3 B. y=|x|+1 C. y=-x2+1 D. y=-2x 2. If the odd function f(x) is a decreasing function on the interval [1,5], and the minimum value is 3, then f(x) is on the interval [-5,-1] yes() A. Increasing function with minimum value 3 B. Increasing function with a maximum value of 3 C. Decreasing function and the minimum value is -3 D. Decreasing function and the maximum value is -3 3. Assume that the odd function f(x) is a decreasing function on (0, +∞), and f(1)=0, then the solution set of the inequality f(x)-f(-x)x<0 is () A. (-1,0)∪(1,+∞) B. (-∞,-1)∪(0,1) C. (-∞,-1)∪(1,+∞) D. (-1,0)∪(0,1) 4. It is known that the function f(x) is an odd function defined on R, and it is a decreasing function. If the real numbers a and b satisfy f(a)+f(b)>0, then a+b_______0 (fill in ">" "<" or "="). Keywords: Free download of PPT courseware for compulsory course No. 1 Mathematics of High School People's Education B version, PPT download of parity of function, PPT download of concept and properties of function, PPT download of application of parity of function, .PPT format; For more information about the PPT courseware "The Concept and Properties of Functions, Parity and Evenness of Functions, and Applications of Parity of Functions", please click the "Concepts and Properties of Functions ppt Parity of Functions ppt Applications of Parity of Functions" ppt tag. "Parity of Functions" Concept and Properties of Functions PPT (Application of Parity in Lesson 2): "Parity of Functions" Concept and Properties of Functions PPT (Application of Parity in Lesson 2) Part One: Learning Objectives 1. Be able to find function values or analytical expressions based on parity of functions. 2. Able to use the parity and monotonicity of functions to analyze and solve simpler problems.. "Parity of Functions" Concept and Properties of Functions PPT (Application of Parity in Lesson 2): "Parity of Functions" Concept and Properties of Functions PPT (Application of Parity in Lesson 2) Part One: Learning Objectives 1. Be able to find function values or analytical expressions based on parity of functions. 2. Able to use the parity and monotonicity of functions to analyze and solve simpler problems.. "Parity of Functions" Concept and Properties of Functions PPT (Lesson 1: The Concept of Parity): "The Parity of Functions" PPT on the concepts and properties of functions (the concept of parity in Lesson 1) Part One Content: Learning Objectives 1. Understand the definitions of odd functions and even functions. 2. Understand the characteristics of the graphs of odd and even functions. 3. Master the method of judging the parity of functions..
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Update Time: 2024-11-13
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