查询词典 mathematics

Departing from basic concepts of cardinal numbers and their numbering orders, the paper differentiated and analyzed some concepts easy to be confused related to binary system, pointing out that the introduced concepts of ordinals played an important role in the development of modern mathematics. As the foundation of SHAO Yong's mathematics, the primordial Yi , in the history of mathematics, exhibits the first specially defined ordinal system, in which the binary numbering method was used at the first time.

本文从自然数及其记数法的基本概念出发，辨析了与二进位制相关的几个容易混淆的概念，指出序数概念的引入在近代数学发展中有重要意义，作为邵雍数学学派的数学基础，先天易是数学史上第一个专门定义的序数体系，该序数体系在数学史上率先采用了二进位制记数法。

Departing from basic concepts of cardinal numbers and their numbering orders, the paper differentiated and analyzed some concepts easy to be confused related to binary system, pointing out that the introduced concepts of ordinals played an important role in the development of modern mathematics. As the foundation of SHAO Yongs mathematics, the primordial Yi, in the history of mathematics, exhibits the first specially defined ordinal system, in which the binary numbering method was used at the first time.

本文从自然数及其记数法的基本概念出发，辨析了与二进位制相关的几个容易混淆的概念，指出序数概念的引入在近代数学发展中有重要意义，作为邵雍数学学派的数学基础，先天易是数学史上第一个专门定义的序数体系，该序数体系在数学史上率先采用了二进位制记数法。

Based on the higher mathematics method proved inequalities are summarized, and the proposed using the function extreme value and the monotonicity and concave and convex function sex, and mean value theorem, Taylor formula, integral these common higher mathematics method, combining with concrete examples of each kind of method to solve the problems for type, and the key problem of the specific steps, and points out that the inequality proof of higher mathematics method used properly, improve the difficult easy to ability to solve problems.

本文对不等式证明中的高等数学方法作了归纳总结，提出了利用函数的单调性，极值与最值，函数凹凸性，中值定理，泰勒公式，积分这些常用的高等数学方法，并结合具体实例阐述了每一种方法的适用类型、解决问题的关键和证明问题的具体步骤，指出在不等式证明中恰当地运用高等数学方法可以化难为易，提高解题能力。

Chapter Five shows the case study of the beauty of math in high school teaching. Conic section is taken as an example to unearth the beauty of mathematics in from the following three aspects: 1. the language beauty of conic section reveals the external formal beauty; 2. the methodological beauty and the logical beauty of conic section reflect the internal rational beauty; 3. the beauty of mathematics in conic section reveals the new value in internal knowledge structure of textbooks. Moreover, the application of the beauty of mathematics in high school math teaching is also discussed from the following four points of view: the pursuit of conciseness, the construction of symmetry, the utilization of unity and the discovery of uniqueness.

首先，以圆锥曲线教学为案例来挖掘中学数学教学中的数学美，具体从三个层次探讨①圆锥曲线语言之美，是数学美的外在形式美具体展现；②圆锥曲线方法美、逻辑美，是深层次数学美的内在理性美的反映；③在圆锥曲线的教学过程中，利用其数学美处理教材，揭示内在知识结构的新价值；其次，提出数学美在中学数学学习中的具体案例运用，并具体从追求简洁性、构造对称性、利用统一性和发现奇异性四个方面来举例探讨。

Mathematics teaching is the teaching of the mathematics activity, is the course of the mutual act and development between teachers and students and among students. students are the host and teachers are the organizer, leader and copartner in learning mathematics.

数学教学是数学活动的教学，是师生之间、学生之间交往互动与共同发展的过程，学生是数学学习的主人，教师是数学学习的组织者、引导者与合作者。

The linear function applicable scope is broad, when the reservoir turnover water volume and the time, the student leaves the staircase mouth population and the time and the time and the motion communication speech spends the comparison and so on the relational question has the important application;The study linear function, may deepen in the life the linear question understanding and the understanding, is helpful in solves some simple function problem; The linear function some problem solving method has the universality in mathematics, the linear function related theory may use for to solve some other mathematics problem, For instance the dual linear equation group, a Yuan inequality, a Yuan quadratic equation most value question and some complex mathematics question, the light is studies the linear function the theory is insufficient, the key is can utilize actual the linear function goes is our final goal.

一次函数的适用范围广，在蓄水池的进出水量与时间、学生出楼梯口人数与时间与时间和移动通讯的话费比较等的关系问题时均有重要的应用；学习一次函数，可以加深生活中线性问题的认识与理解，有助于解决一些简单的函数问题；一次函数的一些解题方法在数学中具有普遍性，一次函数的有关理论可以用来解决一些其它的数学问题，比如二元一次方程组、一元一次不等式、一元二次方程的最值问题及一些复杂的数学问题，光是学习一次函数的理论是不够的，关键是能把一次函数运用到实际中去才是我们最终的目的。

the mathematics experiment is: be to gain some kind of mathematics theory , conjecture checking some's mathematicses , to resolve some kind problems, the experimentalist applies certain matter means to, mathematics thinking activities participation, exploration , research flexible being in progress under the environment in specially appointed experiment.

数学实验为：为获得某种数学理论，检验某个数学猜想，解决某类问题，实验者运用一定的物质手段，在数学思维活动的参与下，在特定的实验环境下进行的探索、研究活动。

However mathematics is a lifeless and fidgety academics, mathematics teaching method has been the important problem of mathematics education thinking.

然而数学是一门枯燥烦躁的学科，数学教学方法一直是数学教育者思考的重要问题。

The higher mathematics curriculum is a college engineering course undergraduate course each specialized student's compulsory important basic theory class, through this curriculum study, causes the student to obtain: Circular function calculus study, the space analytic geometry and the vector algebra, the function of many variables calculus study, the infinite series, aspect and so on ordinary differential equation basic concepts, the elementary theory and the fundamental operation skill, and further obtain mathematics knowledge for the study successor curriculum to lay the essential mathematics foundation,During instruction knowledge, must train the student through each teaching link to have the abstract thinking ability, logic reasoning ability, spatial imagination ability gradually and studies independently ability, but also must pay attention specially trains the student to have the quite skilled operational capability and the synthesis utilization studies the knowledge to analyze the question and to solve the question ability.

高等数学课程是高等学校工科本科各专业学生的一门必修的重要基础理论课，通过本课程的学习，使学生获得：一元函数微积分学，空间解析几何与向量代数，多元函数微积分学，无穷级数，常微分方程等方面的基本概念、基本理论和基本运算技能，为学习后继课程和进一步获得数学知识奠定必要的数学基础，在传授知识的同时，要通过各个教学环节逐步培养学生具有抽象思维能力、逻辑推理能力、空间想象能力和自学能力，还要特别注意培养学生具有比较熟练的运算能力和综合运用所学知识去分析问题和解决问题的能力。主要是其中的一些专有名词查不到，比如一元函数等

And, because the evaluation for basic knowledge and basic skills is the essential aspect of evaluation for mathematics learning, this paper analyzes as well the characters of it- On the one hand, it depicts the preponderance of mathematics education in ourcountry; On the other hand, it brings forth some malpractice such as appealing for immoderately details and skills for test questions that generate some ill effects to the mathematics education.

本文对双基评价进行了剖析——既在数学教育中占有重要的地位，是我国数学教育的优势与特色，又由于过度强调使其产生了一些不可避免的弊端，诸如过于雕琢细节和强调解题技巧等，对学生数学素养教育产生了不良影响。

More than five decades after the Indian constitution promises a casteless society, there is no sign that the castes are disappearing.

在印度宪法允诺一个&无种姓&社会五十多年后，种姓尚没有显示出任何要消失的迹象，但变化也确确实实地发生了。

Don't distract him from his studies.

他在学习不要打扰他。