查询词典 analytic geometry

Plane analytic geometry is a important content in the mathematics curriculum of high school, which embodies powerful function of analytic method and algebraic method in the depicting curve. It reflects important idea of the combination of number and figure. Learning the course is very important for students to improve mathematics thought ability. Teachers and students are engaged in teaching and learning by the textbook, so it is necessary to analyse plane analytic geometry textbook.

平面解析几何是高中数学课程中的重要内容之一，它体现了解析方法和代数方法在刻画平面曲线方面的强大作用，反映了数形结合的重要思想，学习这部分内容对提高学生的数学思维能力具有十分重要的价值，师生正是通过教材这一载体从事教学和学习活动的，因此，很有必要对平面解析几何教材进行分析。

Quantity and space both play a role in analytic geometry , differential geometry , and algebraic geometry .

数量和空间在解析几何，微分几何和代数几何中都发挥作用。

Analytic geometry is a branch of geometry, mathematics is one of the most basic of disciplines.

中文摘要：解析几何是几何学的一个分支，是数学中最基本的学科之一。

To solve the problem about determinant and solution to tangent line of curve of second order in Analytic Geometry with viewpoint and methods of Higher Geometry.

利用《高等几何》的观点、方法解决《解析几何》中的二次曲线的切线的存在性与求法问题。

The geometric significance is the plural of students to solve plane analytic geometry and analytic geometry of space in many practical problems of the favorable tool.

复数的几何意义是学生分析、解决平面解析几何与空间解析几何中许多实际问题的有利工具。

Comprehensively making use of the basic theory, such as Space Analytic Geometry, Gear Meshing Engagement Theory, Method of Mathematical Calculation, Theory for Error Analyzing and Data Processing, the author has established the mathematical models of the new method, which has included the analytic mathematical model for precision orientation, the mathematical model for the ball's diameter and the measuring diameter, the mathematical model about the ball's centre, the calculation model for tooth alignment diviations and the model for tooth alignment error evaluation.

本文综合应用空间解析几何学、啮合原理、计算方法、误差理论与数据处理等有关基础理论，推导建立了新方法的数学模型，包括：确定定位关系的解析法数学模型，测球直径与测量半径的数学模型，测球球心的数学模型，齿向偏差的计算模型以及齿向误差的评定数学模型等。

As we all known, with the founding of Euclidean geometry in ancient Greece, with the development of analytic geometry and other kinds of geometries, with F.Kline" s Erlanger program in 1872 and the new developments of geometry in 20th century such as topology and so on, man has developed their understand of geometry. On the other hand, Euclid formed geometry as a deductive system by using axiomatic theory for the first time. The content and method of geometry have dramatically changed, but the geometry curriculum has not changed correspondingly until the first strike from Kline and Perry" s appealing.

纵观几何学发展的历史，可以称得上波澜壮阔：一方面，从古希腊时代的欧氏综合几何，到近代解析几何等多种几何的发展，以及用变换的方法处理几何的埃尔朗根纲领，到20世纪拓扑学、高维空间理论等几何学的新发展，这一切都在不断丰富人们对几何学的认识；另一方面，从欧几里得第一次使用公理化方法把几何学组织成一个逻辑演绎体系，到罗巴切夫斯基非欧几何的发现，以及希尔伯特形式公理体系的建立，极大地发展了公理化思想方法，不管是几何学的内容还是方法都发生了质的飞跃。

Through the process of learning different kinds of theorems, solving various geometry problems involving using those theorems, as well as combining the usage of plane geometry methods with analytic geometry, especially with conic section, we gained our own unique understanding and strong interest of plane geometry.

通过对平面几何各种定理的了解、证明，结合高中数学联赛具体题目中各种定理、推论的应用，以及平面几何与解析结合在圆锥曲线问题中的实际结合，我们对平面几何有了自己独特的见解和浓厚的兴趣。

Textbook is not only the primary basis for students to grasp knowledge and method but also resort and carrier to train capability. New textbook has been tested in some provinces and cities since 1997, some educational and teaching concepts in new textbook inosculates with new mathematics course which is being tested now, it has taken great role for the transition of teachers' teaching idea and students' learning way. This paper will analyze Plane Analytic Geometry high school textbook of 2004 edition which is published by People's Education Publishing House in some aspects such as content structure, educational function, psychological characteristic according with student cognizance and teaching through the method of content analysis, investigation, comparison and statistical analysis . The paper's purpose is to excavate the potential value of the textbook and understand educational idea and concept of new textbook so that students can grasp more basic thought of analytic geometry in teaching and can learn studying and discovering and solving problem ,at the same time it builds a kind of independent, disquisitive, cooperative and lifelong learning pattern.

教材既是学生掌握知识和方法的主要依据，又是培养学生能力的凭借和载体，自1997年新教材在部分省市实验以来，新教材中所体现的一些教育教学理念与现在正在实验的高中数学新课程相吻合，对教师的教学观念和学生的学习方式的转变都起到了很大的作用，本文将对人民教育出版社2004版普通高中教材中的平面解析几何部分通过内容分析法、调查研究、比较研究、统计分析等研究方法从教材的内容结构、教育功能、符合学生认知心理特点、教学等几个方面进行分析，目的是挖掘教材内容的潜在价值，真正领会新教材所蕴涵的教育思想和理念，以使教师在教学中能够让学生更多的掌握解析几何的基本思想，以培养学生学会学习、学会发现问题和解决问题，为学生构建一种自主的、探究的、合作的、终身的学习模式。

Using the principle of Projectiv e geometry and Analytic geometry,we have intact analysed about the cut and hand in line of taper and Geometry proved the form produced by the special-position -leve and the general-position-level.

利用射影几何和解析几何的原理对圆锥截交线进行了完整的分析，对特殊位置截平面与一般位置截平面产生的截交线的形状进行了几何证明，为截交线的形状判别与绘制提供了理论依据。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！