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What are the contents of mathematics 2- 1 and 2-2 in senior high school?
Elective course 2- 1

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