首页 | 本学科首页   官方微博 | 高级检索  
相似文献
 共查询到20条相似文献,搜索用时 185 毫秒
1.
数学中的基础知识最主要的是数学概念和数学规律。要想使学生掌握这些知识,并应用到实际中去,就必须有计划地指导学生解答足够数量的习题。虽然解每类数学题的方法步骤都有差异,但也有共同之处。一般都要经过审题、寻求解题途径、表述解答这三个步骤。在这三步中,寻求解题途径是解答习题的关键。这一步解决了,解数学题就比较容易了。  相似文献   

2.
<正>《中学生数学》2013年第1期(初中刊)刊登了文章《一题多解在几何综合题中的应用》,文中的习题共3个小问题,而文中只对第(2)题给出了5种解法,对(1)(3)两小题没有提及,笔者以为,这是一道解答方法非常典型的题目,掌握这类习题的解答技巧是非常必要的.  相似文献   

3.
朱四清 《数学通讯》2003,(23):14-15
估计 ,《现代汉语词典》将其解释为 :根据某些情况 ,对事物的性质 ,数量 ,变化等作大概的推断 .我们在解数学习题时 ,有时也需要对习题的解答作出某种估计 ,这种估计通常是借助观察 ,凭借直觉 ,联系过去的解题经验猜想得到的 .通常可对答案本身作出估计 ,答案的形式或范围作出估计 ,解题的方向作出估计或对能解性作出估计等 .所有这些估计得到的东西 ,既可明方向 ,又能鼓舞信心 ,常能为习题的解答起到良好的引路作用 ,是数学解题的一条有效途径 .1 从答案形式或范围的估计到获解一些习题 ,我们常常能根据它的要求 ,它的条件中的数式特点 ,…  相似文献   

4.
介绍微积分中数项级数的Cesàro求和法的概念,实例展示其在习题解答和定理证明中的具体应用.  相似文献   

5.
一道习题解答的调查与分析432301湖北省汉川县马口镇金马中学喻继洲笔者在十多年初三教学教学中,发现历届学生对代数第四册P68的一道习题的解等错误率得高.因此,笔专有意选择优题,在本届学生中进行了一次测试调查,调查结果与分析如下:[调查目的]通过对一...  相似文献   

6.
我们在解答全日制十年制学校初中数学课本《几何》第一册第200页7题(本文改称1题)时,引导学生观察、联想、猜测、判断,把《几何》第一册和第二册两书中的九道习题联系起来,并由此又引出另七道习题,共一十六道题,汇成一组,同学们兴致勃勃,既解了一批习题,又掌握了解同类问题的规律,收到由例及类、触类旁通的效果,而且有利于发展学生思维的灵活性、创造性,培养学生独立探索的能力。  相似文献   

7.
应用题既是学习的重点,又是学习的难点.因为许多学生感到解应用题时经常找不到思路,考试时它是丢分的“大户”,平时教学时常常是学生听得懂却不会做.那么,如何提高学生解决应用题的能力?我们课题组尝试运用“样例学习法”,结合波利亚的“怎样解题”表,进行应用题的教学.样例学习法是指利用解答好的习题(worked exampls)来帮助学生形成图式的方法.运用“样例学习法”特别要注意:第一,该方式主要用于复杂的习题;第二,要求学生先独立思考几分钟,并注意自己的思考方式,然后再看解答好的习题,并对照自己的思路,从中得到启发;第三,要进行解题思路…  相似文献   

8.
基于一道微分方程组习题的分析.给出了矩阵指数函数的几个性质以及其行列式的相关结果,并对该习题做了详细的解答.  相似文献   

9.
全日制十年制学校高中《教学》课本第四册习题九第8题:求函数y=5-36x+3x~2+4x~3在区间〔-2,+∞)上的最大值和最小值。教学参考书对此题的解答有误,其解为:函数的最大值是  相似文献   

10.
数学是一门形式化的学科,在许多数学表达中用到了符号,英文字母、拉丁字母就是常用的两种.有些数学习题中的相同字母,或在解答中受习惯的影响使用了相同的字母,有时我们却被其表象所迷惑,混淆了其中相同字母的含义,造成错解.现举三例加以说明.  相似文献   

11.
在格蕴涵代数中提出了扩张滤子的概念,讨论了扩张滤子与滤子,扩张滤子与素滤子,扩张滤子与滤子的根,扩张滤子与准素滤子,扩张滤子与最大滤子之间的关系.得到了扩张滤子的一些性质.最后,证明了在格H蕴涵代数中,扩张滤子与扩张滤子的根相等.  相似文献   

12.
The main result of the paper is a structure theorem concerning the ideal extensions of archimedean ordered semigroups. We prove that an archimedean ordered semigroup which contains an idempotent is an ideal extension of a simple ordered semigroup containing an idempotent by a nil ordered semigroup. Conversely, if an ordered semigroup S is an ideal extension of a simple ordered semigroup by a nil ordered semigroup, then S is archimedean. As a consequence, an ordered semigroup is archimedean and contains an idempotent if and only if it is an ideal extension of a simple ordered semigroup containing an idempotent by a nil ordered semigroup.  相似文献   

13.
《Optimization》2012,61(3):323-338
The notion of genuinely bounded below function is introduced and characterized by means of the concept of co-equilibrated function. As an application, we state two boundedness criteria for extended-real-valued functions, both optimal in a clearly defined sense. The first one says that an extended-real-valued function minorized by an affine map and coinciding from some value up with a co-equilibrated function is bounded below. The second criterion states that an extended-real-valued function minorized by an affine map is bounded below provided that one of its sub-level sets is co-equilibrated.  相似文献   

14.
The closed-form analytic expressions for the stresses at any point of an elastic plate coupling in different ways to a base as a result of a two-dimensional shear strip-loading are obtained. The contact between the horizontal layer and the base is either smooth-rigid or rough-rigid or welded. The variations of the shear stresses with the horizontal distance have been studied numerically. It is found that the effect of different boundary conditions on the stress field is significant and the stresses for an elastic layer lying over an elastic half-space differ considerably from those of an entire homogeneous elastic half-space.  相似文献   

15.
In this paper, we develop a saddle-point criterion for convex optimization problems with infinite-dimensional equality constraints. The method used in the derivation of this criterion is based on the property of openness of the equality operator. As an application, we develop necessary and sufficient conditions for an optimal control problem under a suitable controllability assumption. Constructing an optimal solution for a production planning problem is used as an illustrative example.The authors would like to thank Professor R. T. Rockafellar for his suggestions which have resulted in an improved version of the paper.  相似文献   

16.
A finite-element capacitance matrix method for exterior Helmholtz problems   总被引:1,自引:0,他引:1  
Summary. We introduce an algorithm for the efficient numerical solution of exterior boundary value problems for the Helmholtz equation. The problem is reformulated as an equivalent one on a bounded domain using an exact non-local boundary condition on a circular artificial boundary. An FFT-based fast Helmholtz solver is then derived for a finite-element discretization on an annular domain. The exterior problem for domains of general shape are treated using an imbedding or capacitance matrix method. The imbedding is achieved in such a way that the resulting capacitance matrix has a favorable spectral distribution leading to mesh independent convergence rates when Krylov subspace methods are used to solve the capacitance matrix equation. Received May 2, 1995  相似文献   

17.
The plane elasticity problem of an infinite plate containing an elliptic inclusion is considered. The Green's functions for a point force and/or a dislocation located outside the inclusion are derived. By using the complex potential approach of Muskhelishvili, the general solutions are obtained in a form of carefully selected functions plus an infinite series. The numerical convergence of the solutions is better than that of Stagni-Lizzio's solutions. The proposed solutions can also be applied to the case of a point force and dislocation acting at a point right on the interface.  相似文献   

18.
We seek to optimally control a reflection boundary coefficient for an acoustic wave equation. The goal-quantified by an objective functional- is to drive the solution close to a target by adjusting this coefficient, which acts as a control. The problem is solved by finding the optimal control, which minimizes the objective functional. Then the optimal control is used as a an approximation for an inverse “ identification” problem.  相似文献   

19.
An arbitrary starting variable dimension algorithm is proposed to compute an integer point of an n-dimensional simplex. It is based on an integer labeling rule and a triangulation of Rn. The algorithm consists of two interchanging phases. The first phase of the algorithm is a variable dimension algorithm, which generates simplices of varying dimensions,and the second phase of the algorithm forms a full-dimensional pivoting procedure, which generates n-dimensional simplices. The algorithm varies from one phase to the other. When the matrix defining the simplex is in the so-called canonical form, starting at an arbitrary integer point, the algorithm within a finite number of iterations either yields an integer point of the simplex or proves that no such point exists.  相似文献   

20.
《Optimization》2012,61(3):333-351
The paper considers two cases of variational inequality problems. The first case involves an affine monotone operator over a convex set defined by a separation oracle. Aninterior-point algorithm that mixes an interior cutting plane method and a short-step path-following method will be presented. Its complexity will be established. The second case is an extension of the first and involves a nonlinear monotone operator defined over the same type of convex set. The algorithm for the latter case is different from the former one only in the path-following stage  相似文献   

设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号