解析几何

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。

Content: This course discusses the line, plane and quadratic surface in space through algebraic methods, and aims at developing the students' ability to solve geometric problems through analytic methods and to relate geometric intuitive image with algebraic quantitative relation.

主要内容：本课程运用代数方法研究空间解析几何中的直线、平面与二次曲面，培养学生运用解析方法解决几何问题的能力，以及将几何直观形象与代数数量关系相联系的能力。

In spatial analytic geometry,a spatial curve is an intersecting line of two curved surfaces.

在空间解析几何中，空间曲线是两曲面的交线，在空间曲线中消去一元，即得投影柱面。

Methods\ A group of equations are obtained on the basis of rigid body dynamics and analytic geometry.

应用刚体动力学原理，在给定坐标系下建立智能雷飞行运动方程，通过空间解析几何方法获得智能雷扫描运动方程。

This paper main discussion information technology and plane analytic geometry teaching conformity theory and practice.

本文主要探讨信息技术与平面解析几何教学的整合的理论及实践。

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。

Comparing the advantages and disadvantages between computer drafting and manual drafting, as well as the drafting of some common figures of curre and curred surface are by three common diagrams of space analytic geometry in advanced mathematics for the purpose of more accurate and perfect drafting.

用高等数学教科书中空间解析几何3个常用图例对计算机与手工绘图的优劣进行比较，并论述了如何用计算机绘制空间解析几何中一些常用曲面及曲线图形，从而使图形更精确、完善的问题。

Content of the course consists of:(1)Basic Theories of Polynomials ;(2)Linear Algebra: topics on basic matrix theory, determinant, system of linear equations, vector space, linear transformation, eigenvalue problems, inner product and Euclidean space , and quadratic form etc.;(3) Analytic Geometry: topics on algebraic operations of vectors, coordinates, lines and planes, curves and curved surfaces, etc.

学习本课程后，学生应学会用线性空间与线性变换的观点处理包括线性代数方程组在内的有关理论与实际问题；学会熟练地运用矩阵工具；本课程还学习基本的多项式知识和空间解析几何的基本知识。课程内容包括几个主要部分：（1）多项式代数；（2）线性代数：矩阵，行列式，线性代数方程组，向量空间与线性变换理论，特征值问题，欧氏空间理论，二次型等；（3）解析几何：几何空间向量代数，通过建立坐标系以及借助向量方法研究空间平面与直线及点﹑线﹑面的相互关系，借助曲面方程研究空间曲面，尤其是柱面，锥面，旋转面和二次曲面以及曲面的交线等。

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。

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！