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初升高国际课程之一元二次函数

Category: 国际课程 Date: 2018年7月11日下午7:21

英文单词

本文必备数学单词

Quadratic equations 一元二次方程

Quadratic Inequality 一元二次不等式

Solving Quadratic Equations 解一元二次方程

Degree 次数

Vertex 顶点

Axis of Symmetry 对称轴

Transformation 变换

Factor 因式、因子

Root 根

初中数学要求

通过探索一元二次函数、一元二次不等式、一元二次方程间的联系，进一步加深理解事物是普遍联系的思想内涵，并通过观察、分析、推断与实验等方法探究函数思想中的“变与不变”的思想意义．经历模型化的过程，学会运用比较、归纳、概括等方法对信息进行整理加工，进一步培养学生分析、解决问题和自主探索的能力．

In this section, we will explore the family of 2nd degree polynomials, the quadratic functions. While they share many characteristics of polynomials in general, the calculations involved in working with quadratics is typically a little simpler, which makes them a good place to start our exploration of short run behavior. In addition, quadratics commonly arise from problems involving area and projectile motion, providing some interesting applications.

Example 1

A backyard farmer wants to enclose a rectangular space for a new garden. She has purchased 80 feet of wire fencing to enclose 3 sides, and will put the 4th side against the backyard fence. Find a formula for the area enclosed by the fence if the sides of fencing perpendicular to the existing fence have length L.

Example 2