Practice questions on quadratic functions and equations

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课程名称:二次函数与方程练习题 课程概述:本课程专为参加任何涉及二次函数和方程的标准化考试的学生设计。学生将探索解决二次方程问题的基本概念和技巧,包括代数、图形和数值方法。学员应具备一定的数学基础,以便能够解决课程中的相关问题。题型为四选一的多项选择题,学生需选择一个正确答案。课程共涵盖25道题目,具体内容包括:(1) 根据顶点找到二次函数;(2) 根据x截距找到二次函数;(3) 通过因式分解法求解二次方程的根;(4) 通过求根公式找到二次方程的根;(5) 根据函数找到二次函数的顶点;(6) 求出二次函数与线性函数组合图的解;(7) 从二次函数的值表中找到方程的根;(8) 根据图形判断二次函数根的类型;(9) 找到二次方程根的和与积;(10) 根据根找到二次方程。除了以上目标,学生还将提高解决问题的能力和批判性思维。

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The course is for students writing any standardized exam that involves quadratic function and equation. In this course, the students will explore the fundamental concepts and techniques of solving questions using various methods, including algebra, graphical, and numerical approaches on quadratic equations. The students are expected to have the basic mathematics skill in order to solve question on this course. The questions are multiple choice of four options and the students are required to choose only one option.The course covers a total of 25 questions in the following areas:(1) Finding the quadratic function given the vertex.(2) Finding the quadratic function given the x-intercepts.(3) Finding the roots of a quadratic equation by factorization.(4) Finding the roots of a quadratic equation by quadratic formula.(5)Finding the vertex of a quadratic function given the function.(6) Finding the solution of a composite graph of quadratic function and a linear function.(7)Finding the roots of a quadratic equation from the table of values of the quadratic function.(8) Finding the type of roots of a quadratic function given the graph.(9) Finding the sum and the product of the roots of a quadratic equation.(10) Finding the quadratic equation given the roots.Aside the above objectives, the students will develop problem-solving skills and critical thinking.

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