急，我的论文急需英文摘要，请高手翻译，不要用翻译软件，谢谢

Question

摘要：“数”和“形”是中学数学的重难点知识，同时也是解析几何中最重要的元素。我国著名数学家华罗庚曾说过：“数形结合百般好，隔裂分家万事非。”所以，若想为中学数学的学习奠定扎实的基础，就必须培养利用数形结合的思想方法解决问题的观念。数形结合的思想方法在中学数学中有广泛的应用，比如利用数形结合思想可以解决集合问题、函数问题、线性规划问题、立体几何问题等。本文着重举例说明数形结合思想在解析几何中的应用。

关键字：数形结合思想；解析几何；以数解形；以形助数；数形转换

Answer 1

Abstract: "number" and "form" is a difficult point in middle school mathematics knowledge, at the same time is also the most important element in the analytic geometry. China's famous mathematician hua luogeng said: "the number shape good every possible way, split between split everything." So, if you want to study to lay the solid foundation for middle school mathematics, number must be used to cultivate the thinking method of combining the ideas to solve the problem. Number shape union thinking method has extensive application in the middle school mathematics, such as the number form combining ideas can be used to solve the problem, functions, linear programming problems, solid geometry problems. This paper illustrates several form combining ideas in the application of the analytic geometry. Keywords: the number form combining ideas; Analytic geometry. With several solution form; In order to help function; Number of conformal transformation.望采纳！