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所在平台: Udemy |
课程主页: https://www.udemy.com/course/solving-exam-questions-quadratics/
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课程名称：考试复习：二次函数，纯数学1 课程概述：本课程通过解决与二次函数及其相关子主题的考试题目，帮助学生熟悉二次函数的基础和高级知识水平。这将有助于他们以优异的成绩成功通过AS/A数学的第一张试卷（纯数学1）。 通过本课程，学生将学习以下内容： - 完成平方过程，以正确处理二次函数/方程。 - 计算二次函数/方程的判别式，并利用其找到曲线与直线的交点坐标。 - 求解二次方程，找出对称轴，并解决二次不等式。 - 通过代入法解联立方程（一个方程为线性，一个为二次）。 - 识别并解决关于x的方程，这些方程是某个x的函数的二次方程。 - 使用二次方程的判别式了解联立方程是否有解。 - 基于判别式条件找出二次函数/方程中的常数。 - 如果给出方程的图像，反推求出二次方程。 - 找出二次函数的顶点坐标，并判断其最大值或最小值。 总之，该课程旨在提升学生对二次函数的理解与应用能力，确保他们在数学考试中取得优异表现。
By taking this course of solving exam questions on quadratics and its related sub-topics, students familiarize with the basic and advanced levels of quadratics. This can help them to successfully pass the first paper (Pure Mathematics 1) in the AS/A math with a very good/excellent grade.Through this course:Students will learn the process of completing the square for quadratic functions/equations and use it correctly.Students will learn finding the discriminant of quadratic functions/equations and use it to find the coordinates of intersection(s) between a curve and a line.Students will learn solving quadratic equations, finding axis of symmetry, and solving quadratic inequalities.Students will learn solving simultaneous equations by substitution if one equation is linear and one is quadratic.Students will learn recognizing and solving equations in x which are quadratic in some function of x.Students will learn to know if there is a solution or not for simultaneous equations by using discriminant term of quadratics.Students will learn finding constants in a quadratic function/equation based on the discriminant term conditions.Students will learn finding a quadratic equation if the plot/graph of the equation is given.Students will learn finding the location/coordinates of vertex of quadratics and to know if it has a maximum or minimum value.
