线性规划常考题型分类与解析

线性规划是高中数学不等式部分的基本内容,它将数与形有机结合,是一种重要的优化模型,在生产实际中有广泛应用.线性规划问题在不等式部分的地位和作用虽没有一元二次不等式和基本不等式重要,但也是高考常考知识点,在各地高考试题中经常出现,题目既有选择题、填空题,又有解答题,现将线性规划问题考试的题型进行归类分析,供在学习中参考和借鉴.     

线性规划思想解题例说

线性规划是现代数学中研究最优化理论的重要模型，而新教材增加简单线性规划内容，不仅给传统的高中数学注入了新鲜“血液”，而且给学生提供了学数学、用数学的实践机会．另外，由于平面区域是由不等式（组）来表示的，因此线性规划必然与不等式、函数、方程、解析几何等知识联系密切，而“在知识网络交汇点设计试题，促进学科内知识的交融和渗透”，正好是新课程高考命题的求新点和切入点．     

例析线性规划问题的"变异"

线性规划是一种重要的优化模型,一般地,求线性目标函数在线性约束条件下的最大值或最小值的问题统称为线性规划问题.教材中指出这类问题的一般方法是图解法,即运用作图的方法解决区域内最值问题,但其本质则是数形结合的方法.我们在解题中关键要注意的是这种数学基本思想的灵活运用,下面通过试题中的几例看这类线性规划问题的“变异”.1线性规划问题题目形式的“变异”例1已知1≤a b≤5,且-1≤a-b≤3,求解3a析-2b的取值范围.此题常常出现在不等式的性质的练习题中,考察的是不等式的同号相加原理,但实际上这道题用线性规划来解决更简单且易理…     

用“线性规划问题的最优解在边界上”简解高考题

线性规划问题是指在线性约束条件(即关于变量x,y的二元一次不等式或不等式组)下,求线性目标函数z=ax+by的最大值或最小值问题.在线性规划问题中,满足线性约束条件的解(x,y)叫做可行解,可行解的集合叫做可行域(可行域的边界是直线、射线或线段),使目标函数取得最值的可行解叫做这个线性规划问题的最优解.求解线性规划问题,通常是通过平移初始直线ax+by=0来解决的,所以有下面的结论: (1)若线性规划问题存在最优解,则最优解一定在边界上.     

线性规划知识的交汇问题及解题策略

线性规划是高中数学不等式部分的基本内容,它将数与形有机结合,是一种重要的优化模型。将线性规划与其他数学知识进行交汇命题,在近几年的高考试题中,成为考查线性规划问题的热点。线性规划可以与函数和导数、集合、数列、不等式、向量、概率、解析几何等数学知识进行综合,重点考查函数思想、数形结合思想、转化与化归思想,考查分析问题、解决问题和综合运用数学知识的能力。解决线性规划与其他数学知识的交汇问题,不仅要掌握解决线性规划问题的基本方法,还要具有将与线性规划相交汇的知识进行转化的能力。下面结合近几年的高考试题,谈谈与线性规划进行知识交汇的几个问题,供参考和借鉴。     

基于线性规划的角度探讨含双参数的数学问题

线性规划是以不等式(或不等式组)为基础,一般考查学生对数形结合思想的应用能力.但它对一些双变量或含双参数问题的处理有着独到的不可忽视的作用.本文试着从五个方面来阐述站在线性规划的角度探讨双变量或含双参数的数学问题.     

探寻一类不等式压轴填空题的通性通法

考查不等式问题一直被各地模考和高考所青睐,很多试卷就是以不等式问题作为填空题的压轴题来区分学生学业.解决不等问题、最值问题方法有很多,通解通法也很多,如基本不等式法、导数法、线性规划法、参数法、构造法等等.本文试着通过＂几何＂法这根主线来解决一类在填空题当中的不等问题,以供大家讨论、交流.     

从三个方面学习解不等式

不等式历来是高考的重点内容,同时求解和证明不等式以及解答线性规划问题又是不等式这部分内容的重点和难点.同学们要想高考时在不等式这部分内容上少丢分甚至不丢分,就必须掌握求解、证明不等式和解答线性规划问题的技巧和方法.希望同学们读了本期文章后,能够有所收获,有所提高.     

从三个方面学习解不等式

不等式历来是高考的重点内容．同时求解和证明不等式以及解答线性规划问题又是不等式这部分内容的重点和难点．同学们要想高考时在不等式这部分内容上少丢分甚至不丢分。就必须掌握求解、证明不等式和解答线性规划问题的技巧和方法．希望同学们读了本期文章后,能够有所收获,有所提高．     

也谈线性规划问题

线性规划是优化的具体模型之一，在高中数学新教材中是利用图解法解决线性规划问题．所谓图解法就是通过作图的方法求得线性规划问题的解，或者判断线性规划问题无解．但图解法仅限于两个变量．笔者认为，两个变量的线性规划问题，其实际应用并不广泛；再者，这些问题也可用其他方法或应用软件轻松解决．那么，中学教材中引入线性规划其用意何在呢？     

卡思卡特城堡

It is worthy of noting that, whilst Crookston Castle witnessed the earlier and happier portion of Mary's variegated life,     

不同的吃喝玩乐

一、吃和喝吃苹果 eat an apple, 吃药 take medicine,吃糖 have some sweets,吃饭 have one's meals,吃馆子 dine out,吃惊 be surprised/     

漏洞百出的教育

Many college freshmen arrive woefully unprepared to do college work, and as disadvantaged populations continue to grow, the share of the American work force that has made it through college is expected to plummet. Many experts blame that educational failure not just on high schools but also on colleges. School & College, a special report by The Chronicle, looks at efforts to fix the system. What reforms would better prepare students for college? What should schools and colleges be doing differently? How should state and federal officials help?     

Western and Eastern culture differences in commercial field

The communication of people partially is the communication of cultures. Culture has a direct effect on international commercial activities in all aspects. Different conceptions about time, space, equality, law and the like, lead people to deal with things in different ways. So to know cultures of the counterpart is to facil-itate our enterprises so as to have a smooth and successful communication in commercial activity.     

只要努力,不要后悔

There are numbers of crossroads on our long and unpredictable life journey where we totally have no idea about which direction to choose. No matter what our decision is, we should not turn back, but face the music and go ahead instead. I am this kind of girl who always does try without regretting, one example is how I dealt with my love.     

浅谈移民问题

Migration occurs behind a variety of reasons and has a great effect on the whole world. People may migrate in order to improve their economic situation, or in order to escape civil strife, persecution, and environmental disasters. The impact of migration is complex, bringing both benefits anddisadvantages. This paper briefly talks about the causes of migration, the allocation of benefits, and the ways in which individual countries and the international community deal with this important subject.     

Sister Carrie, an Adherent of Desires

Sister Carrie is one of the most controversial characters in American literature.Thought as a "fallen woman" firstly,she was defined as a "new woman" by some critics later. However, by digging into the motivaton behind the whole process of Carrie's "success", the relationship between Carrie and her creator (the author), the social conditions of then American, it can be found that Carrie has never been free-standing on her thought and she has never found her real-sdf even after becoming a famous actress. In a society dominated by mass consumerism Carrie is only an adherent of her own desires. She also is a representative of all those country girls flooded into cities, a symbol and a sacrifice of the urbanization of America in a time countryside was overcome by cities.     

Improvement of one-cycle controller by use of proportional integral differential controller

1.IntroductionOne-cyclecontrolmethod,whichwasproposedaboutonedecadeago[1],hasbecomeanattractivemethodinspecialfieldssuchaspowerfactorcorrection[2-6],switchingamplifiers[7,8],etc.Themainideaofthiscontrollerisbasedonintegrationofdiodevoltageinone-cycleandforcesittobeexactlyequaltothereferencevalue.Themainadvantageofthiscontrollerisitsrealtimeabilitytorejectthevariationofinputvoltage[1].Despitethisgreatability,ithasnogoodperformancesinrejectingofloaddisturbanceandfollowingreferencecommands.Espec…     

风的曲线

Rosco and I wait for the fishermen to return.I sit at a wooden bench near the store at Mt.Baker Resort and watch the clouds change shape. Rosco has my belt around his neck and an eight foot tow chain hooked to a tree. Dogs must be on a leash. Ducks and rabbits are loose.