Chapter 1 Common Logical Terms
1- 1 proposition and its relationship
The necessary and sufficient condition of 1-2
1-3 Simple logical connectives
1-4 Full name quantifier and existential quantifier
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Chapter II Conic Curve and Equation
2- 1 curves and equations
2-2 ellipse
Explore and find out why the section curve is elliptical.
The application of information technology uses the geometric sketchpad to explore the trajectory of points: ellipses.
2-3 hyperbola
Explore and discover
2-4 parabola
Explore and discover
Reading and thinking about the optical properties of conic curve and its application
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Chapter III Space Vector and Solid Geometry
3- 1 space vector and its operation
Popularization and application of the concepts of reading and thinking vector
Vector method in 3-2 solid geometry
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Elective course 2-2
Chapter 1 Derivative and Its Application
1- 1 rate of change and derivative
Calculation of 1-2 derivative
Application of 1-3 derivative in function learning
1-4 examples of optimization problems in life
The concept of 1-5 definite integral
1-6 Fundamental Theorem of Calculus
Simple application of 1-7 definite integral
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Chapter II Reasoning and Proof
2- 1 Rational reasoning and deductive reasoning
2-2 Direct Proof and Indirect Proof
2-3 Mathematical induction
Chapter 3: The extension of number system and the introduction of complex numbers.
Generalization of 3- 1 number system and the concept of complex number
Four operations in the form of 3-2 complex algebra
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Elective 2-3
The first chapter is the counting principle
1- 1 Classification addition counting principle and step multiplication counting principle
How many subsets need to be explored and discovered?
1-2 permutation and combination
Exploring and discovering two properties of combination number
1-3 binomial theorem
Explore and discover some secrets in the "Yang Hui Triangle"
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Chapter II Random Variables and Their Distribution
2- 1 discrete random variable and its distribution table
2-2 binomial distribution and its application
Reading and thinking is it feasible to buy lottery tickets like this?
When exploring and discovering the values of random variables that obey binomial distribution, the probability is the greatest.
2-3 Mean and variance of discrete random variables
2-4 normal distribution
Influence of information technology application on normal distribution
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Chapter III Statistical Cases
The basic idea of 3- 1 regression analysis and its preliminary application
The basic idea of 3-2 independence test and its preliminary application
Practice homework
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Review reference questions