高中数学必修一课件 篇1
本节课重在探究等比数列的前n项和公式的推导及简单的应用。教学中注重公式的形成过程及数学思想方法的渗透，并揭示公式的结构特征和内在联系．就知识的应用价值来看，它是从大量数学问题和现实问题中抽象出来的模型，在公式推导中所蕴含的数学思想方法在各种数列求和问题中有着广泛的应用．就内容的人文价值上看，它的探究与推导需要学生观察、分析、归纳、猜想，有助于培养学生的创新思维和探索精神，是培养学生数学的思考问题的良好载体．
知识与技能： 掌握等比数列的前n项和公式以及推导方法；会用等比数列的前n项和公式解决有关等比数列的一些简单问题．
过程与方法： 经历等比数列前n 项和的推导过程，总结数列求和方法，体会数学中的思想方法．
情感态度与价值观：通过教材中的实际引例，激发学生学习数学的积极性及学习数学的主动性．
[创设情境]
[分析问题]如果把各格所放的麦粒数看成是一个数列，我们可以得到一个等比数列，它的首项是1，公比是2，求第一个格子到第64个格子各格所放的麦粒数总合就是求这个等比数列的前64项的和。下面我们先来推导等比数列的前n项和公式。
高中数学必修一课件 篇2
一、概述
教材内容:等比数列的概念和通项公式的推导及简单应用 教材难点：灵活应用等比数列及通项公式解决一般问题 教材重点：等比数列的概念和通项公式
二、教学目标分析
1. 知识目标
1）
2） 掌握等比数列的定义 理解等比数列的通项公式及其推导
2．能力目标
1）学会通过实例归纳概念
2）通过学习等比数列的通项公式及其推导学会归纳假设
3）提高数学建模的能力
3、情感目标：
1）充分感受数列是反映现实生活的模型
2）体会数学是来源于现实生活并应用于现实生活
3）数学是丰富多彩的而不是枯燥无味的
三、教学对象及学习需要分析
1、 教学对象分析：
1）高中生已经有一定的学习能力，对各方面的知识有一定的基础，理解能力较强。并掌握了函数及个别特殊函数的性质及图像，如指数函数。之前也刚学习了等差数列，在学习这一章节时可联系以前所学的进行引导教学。
2）对归纳假设较弱，应加强这方面教学
2、学习需要分析：
四. 教学策略选择与设计
1.课前复习
1）复习等差数列的概念及通向公式
2）复习指数函数及其图像和性质
2．情景导入
高中数学必修一课件 篇3
一、随机事件
主要掌握好(三四五)
(1)事件的三种运算：并(和)、交(积)、差;注意差A-B可以表示成A与B的逆的积。
(2)四种运算律：交换律、结合律、分配律、德莫根律。
(3)事件的五种关系：包含、相等、互斥(互不相容)、对立、相互独立。
二、概率定义
(1)统计定义：频率稳定在一个数附近，这个数称为事件的概率;(2)古典定义：要求样本空间只有有限个基本事件，每个基本事件出现的可能性相等，则事件A所含基本事件个数与样本空间所含基本事件个数的比称为事件的古典概率;
(3)几何概率：样本空间中的元素有无穷多个，每个元素出现的可能性相等，则可以将样本空间看成一个几何图形，事件A看成这个图形的子集，它的概率通过子集图形的大小与样本空间图形的大小的比来计算;
(4)公理化定义：满足三条公理的任何从样本空间的子集集合到[0，1]的映射。
三、概率性质与公式
(1)加法公式：P(A+B)=p(A)+P(B)-P(AB)，特别地，如果A与B互不相容，则P(A+B)=P(A)+P(B);
(2)差：P(A-B)=P(A)-P(AB)，特别地，如果B包含于A，则P(A-B)=P(A)-P(B);
(3)乘法公式：P(AB)=P(A)P(B|A)或P(AB)=P(A|B)P(B)，特别地，如果A与B相互独立，则P(AB)=P(A)P(B);
(4)全概率公式：P(B)=∑P(Ai)P(B|Ai).它是由因求果，
贝叶斯公式：P(Aj|B)=P(Aj)P(B|Aj)/∑P(Ai)P(B|Ai).它是由果索因;
如果一个事件B可以在多种情形(原因)A1,A2,....,An下发生，则用全概率公式求B发生的概率;如果事件B已经发生，要求它是由Aj引起的概率，则用贝叶斯公式.
(5)二项概率公式：Pn(k)=C(n,k)p^k(1-p)^(n-k),k=0,1,2,....,n.当一个问题可以看成n重贝努力试验(三个条件：n次重复，每次只有A与A的逆可能发生，各次试验结果相互独立)时，要考虑二项概率公式.
高中数学学习方法总结
一)、课内重视听讲，课后及时复习。
新知识的接受，数学能力的培养主要在课堂上进行，所以要特点重视课内的学习效率，寻求正确的学习方法。上课时要紧跟老师的思路，积极展开思维预测下面的步骤，比较自己的解题思路与教师所讲有哪些不同。特别要抓住基础知识和基本技能的学习，课后要及时复习不留疑点。首先要在做各种习题之前将老师所讲的知识点回忆一遍，正确掌握各类公式的推理过程，应尽量回忆而不采用不清楚立即翻书之举。认真独立完成作业，勤于思考，从某种意义上讲，应不造成不懂即问的学习作风，对于有些题目由于自己的思路不清，一时难以解出，应让自己冷静下来认真分析题目，尽量自己解决。在每个阶段的学习中要进行整理和归纳总结，把知识的点、线、面结合起来交织成知识网络，纳入自己的知识体系。
二)、适当多做题，养成良好的解题习惯。
要想学好数学，多做题是难免的，熟悉掌握各种题型的解题思路。刚开始要从基础题入手，以课本上的习题为准，反复练习打好基础，再找一些课外的习题，以帮助开拓思路，提高自己的分析、解决能力，掌握一般的解题规律。对于一些易错题，可备有错题集，写出自己的解题思路和正确的解题过程两者一起比较找出自己的错误所在，以便及时更正。在平时要养成良好的解题习惯。让自己的精力高度集中，使大脑兴奋，思维敏捷，能够进入最佳状态，在考试中能运用自如。实践证明：越到关键时候，你所表现的解题习惯与平时练习无异。如果平时解题时随便、粗心、大意等，往往在大考中充分暴露，故在平时养成良好的解题习惯是非常重要的。
三)、调整心态，正确对待考试。
首先，应把主要精力放在基础知识、基本技能、基本方法这三个方面上，因为每次考试占绝大部分的也是基础性的题目，而对于那些难题及综合性较强的题目作为调剂，认真思考，尽量让自己理出头绪，做完题后要总结归纳。调整好自己的心态，使自己在任何时候镇静，思路有条不紊，克服浮躁的情绪。特别是对自己要有信心，永远鼓励自己，除了自己，谁也不能把我打倒，要有自己不垮，谁也不能打垮我的自豪感。
在考试前要做好准备，练练常规题，把自己的思路展开，切忌考前去在保证正确率的前提下提高解题速度。对于一些容易的基础题要有十二分把握拿全分;对于一些难题，也要尽量拿分，考试中要学会尝试得分，使自己的水平正常甚至超常发挥。
由此可见，要把数学学好就得找到适合自己的学习方法，了解数学学科的特点，使自己进入数学的广阔天地中去。
高中数学必修一课件 篇4
②应用对数函数的性质可以解决：对数的大小比较，求复合函数的定义域、值 域及单调性。
③ 注重函数思想、等价转化、分类讨论等思想的渗透,提高解题能力。
教学过程设计：
例 1 比较下列各组数的大小。
生：可构造一个以a为底的对数函数，用对数函数的单调性比大小。
调递减，所以loga5.1>loga5.9 ;当a>1时，函数y=logax单调递
Ⅱ)当a>1时，函数y=logax在(0，+∞)上是增函数，
生：找“中间量”， log0.50.6>0，lnЛ>0，logЛ0.51，
log0.50.6
函数图象的位置关系来比大小。
2 函数的定义域, 值 域及单调性。
例 2 ⑴求函数y=的定义域。
⑵解不等式log0.2(x2+2x-3)>log0.2(3x+3)
师：如何来求⑴中函数的定义域?(提示：求函数的定义域，就是要使函数有意义。若函数中含有分母，分母不为零;有偶次根式，被开方式大于或等于零;若函数中有对数的形式，则真数大于零，如果函数中同时出现以上几种情况，就要全部考虑进去，求它们共同作用的结果。)生：分母2x-1≠0且偶次根式的被开方式log0.8x-1≥0，且真数x>0。
∴x(0,0.5)∪(0.5,0.8〕
分析：要解这个不等式,首先要使这个不等式有意义，即真数大于零，
再根据对数函数的单调性求解。
例 3 求下列函数的值域和单调区间。
师：求例3中函数的的值域和单调区间要用及复合函数的思想方法。
下面请同学们来解⑴。
生：此函数可看作是由y= log0.5u, u= x- x2复合而成。
函数y=log0.5(x- x2)的单调递减区间(0,0.5]，单调递 增区间[0.5,1)
函数都不存在，性质就无从谈起。
通过这堂课使同学们对等价转化、分类讨论等思想加以应用，提高解题能力。
①lg(x2-3x-4)≥lg(2x+10);②loga(x2-x)≥loga(x+1),(a为常数)
⑶已知函数y=loga (a>0, b>0, 且 a≠1)
①求它的定义域;②讨论它的奇偶性; ③讨论它的单调性。
⑷已知函数y=loga(ax-1) (a>0,a≠1),
这节课是安排为习题课，主要利用对数函数的性质解决一些问题，整个一堂课分两个部分：一 .比较数的大小,想通过这一部分的练习，
培养同学们构造函数的思想和分类讨论、数形结合的思想。二.函数的定义域, 值 域及单调性，想通过这一部分的练习，能使同学们重视求函数的定义域。因为学生在求函数的值域和单调区间时，往往不考虑函数的定义域，并且这种错误很顽固，不易纠正。因此，力求学生做到想法正确，步骤清晰。为了调动学生的积极性，突出学生是课堂的主体，便把例题分了层次，由易到难，力求做到每题都能由学生独立完成。但是，每一道题的解题过程，老师都应该给以板书，这样既让学生有了获取新知识的快乐，又不必为了解题格式的不熟悉而烦恼。每一题讲完后，由教师简明扼要地小结，以使好学生掌握地更完善，较差的学生也能够跟上。
高中数学必修一课件 篇5
(1)棱柱：
定义：有两个面互相平行，其余各面都是四边形，且每相邻两个四边形的公共边都互相平行，由这些面所围成的几何体。
分类：以底面多边形的边数作为分类的标准分为三棱柱、四棱柱、五棱柱等。
表示：用各顶点字母，如五棱柱或用对角线的端点字母，如五棱柱
几何特征：两底面是对应边平行的全等多边形;侧面、对角面都是平行四边形;侧棱平行且相等;平行于底面的截面是与底面全等的多边形。
(2)棱锥
定义：有一个面是多边形，其余各面都是有一个公共顶点的三角形，由这些面所围成的几何体
分类：以底面多边形的边数作为分类的标准分为三棱锥、四棱锥、五棱锥等
表示：用各顶点字母，如五棱锥
几何特征：侧面、对角面都是三角形;平行于底面的截面与底面相似，其相似比等于顶点到截面距离与高的比的平方。
(3)棱台：
定义：用一个平行于棱锥底面的平面去截棱锥，截面和底面之间的部分
分类：以底面多边形的边数作为分类的标准分为三棱态、四棱台、五棱台等
表示：用各顶点字母，如五棱台
几何特征：①上下底面是相似的平行多边形②侧面是梯形③侧棱交于原棱锥的顶点
(4)圆柱：
定义：以矩形的一边所在的直线为轴旋转，其余三边旋转所成的曲面所围成的几何体
几何特征：①底面是全等的圆;②母线与轴平行;③轴与底面圆的半径垂直;④侧面展开图是一个矩形。
(5)圆锥：
定义：以直角三角形的一条直角边为旋转轴，旋转一周所成的曲面所围成的几何体
几何特征：①底面是一个圆;②母线交于圆锥的顶点;③侧面展开图是一个扇形。
(6)圆台：
定义：用一个平行于圆锥底面的平面去截圆锥，截面和底面之间的部分
几何特征：①上下底面是两个圆;②侧面母线交于原圆锥的顶点;③侧面展开图是一个弓形。
(7)球体：
定义：以半圆的直径所在直线为旋转轴，半圆面旋转一周形成的几何体
几何特征：①球的截面是圆;②球面上任意一点到球心的距离等于半径。
高中数学必修一课件 篇6
【学习导航】
(一)两角和与差公式
(二)倍角公式
2cos2α=1+cos2α 2sin2α=1-cos2α
注意：倍角公式揭示了具有倍数关系的两个角的三角函数的运算规律，可实现函数式的降幂的变化。
注： (1)两角和与差的三角函数公式能够解答的三类基本题型：求值题，化简题，证明题。
(2)对公式会“正用”，“逆用”，“变形使用”;
(3)掌握“角的演变”规律，
(4)将公式和其它知识衔接起来使用。
重点难点
重点：几组三角恒等式的应用
难点：灵活应用和、差、倍角等公式进行三角式化简、求值、证明恒等式
【精典范例】
例1 已知
求证：
例2 已知 求 的取值范围
分析 难以直接用 的式子来表达，因此设 ，并找出 应满足的等式，从而求出 的取值范围.
例3 求函数 的值域.
例4 已知
且 、 、 均为钝角，求角 的值.
分析 仅由 ，不能确定角 的值，还必须找出角 的范围，才能判断 的值. 由单位圆中的余弦线可以看出，若 使 的角为 或 若 则 或
【选修延伸】
例5 已知
求 的值.
例6 已知 ，
求 的值.
例7 已知
求 的值.
例8 求值：(1) (2)
【追踪训练】
1. 等于 ( )
A. B. C. D.
2.已知 ，且
，则 的值等于 ( )
A. B. C. D.
3.求值： = .
4.求证：(1)
高中数学必修一课件 篇7
体味本文“寄情于物”的写法并借鉴之。
启发学生领悟本文以榕树为眼前景与思乡情的触发点、联系点，并以此联想到诸多琐细平凡的故乡生活的 掠影，来表达自己真挚、浓烈而怅惘的思乡之愁。
1、课文写了几个地方的榕树？你认为文章可以分为几个层次？
2、围绕故乡的榕树，作者回忆了与之相关的哪些事情？作者用什么将这些事情连缀起来？
3、本文的三个部分衔接过渡自然。文章是怎样过渡的？
①第三段是过渡段。其中，“我的心却像一只小鸟，从哨音里展翅飞出去……停落在故乡熟悉的大榕树上。我仿佛又看到……看到……”这些词句，像一座桥，把眼前景物与思想情怀联系起来，过渡得巧妙自然。
②“那样的日子不会再回来了”一句，总结了上文，表明了回忆的结束。
③“我仿佛刚刚从一场梦中醒转，身上还留有榕树叶隙漏下的清凉”一句，和上面的夏夜描写承接，衔接自然、巧妙。
4、课文倒数第2段连用两个问句，这样写对表达情感有什么作用？
是疑问，十分真挚地传达出作者浓浓的思乡情。
①、搜集有关乡情的诗歌、文章进行交流。
②、谈谈自己感受最深刻的一次情感体会。
高中数学必修一课件 篇8
专题八当今世界经济的全球化趋势
通史概要：
当今世界经济发展有两个明显的趋势：一是世界经济区域集团化，二是世界经济全球化。世界经济区域集团化是最终实现经济全球化的重要步骤和途径，经济全球化则是区域经济集团化的最终归宿。
世界经济区域集团化是生产力高度发展的必然产物，是生产国家化、国际分工向纵深发展需要加强合作的结果，也是世界经济竞争激烈的表现。它产生的原因有：现代科技的发展、国际间经济竞争和客观上存在的分工。区域集团化的发展分为三个阶段：第一阶段为五六十年代，世界经济集团化的趋势主要出现在欧洲，如欧洲煤炭共同体的出现。第二阶段为六七十年代，区域集团化成为一种世界经济现象。欧洲区域集团化趋势进一步发展，如欧共体的建立；一些发展中国家的地区性经济集团也纷纷出现，如东盟的出现。第三阶段为80年代至今，区域集团化掀起新的浪潮，进入了较高层次的经济一体化时期，出现了欧盟、北美自由贸易区和亚太经合组织三大区域经济集团。
世界经济全球化是世界生产力发展的要求和结果，是不以人的意志为转移的历史趋势。它突出的表现在国际贸易、国际投资、国际金融和跨国公司的发展。经济全球化的过程中的问题是：在经济全球化的过程中，不可避免地把资本主义固有的矛盾扩展到全球，造成南北矛盾、贫富分化、环境问题、能源危机、全球性的经济金融危机、恐怖组织活动猖獗等等，直接影响到人类的生存与发展。
我国在当今世界经济发展趋势中，作为发展中国家，应该如何面对机遇和挑战，成了新时期经济发展人们共同关心的话题。从中国加入亚太经合组织、加入世界贸易组织，加强同东盟的联系的史实中，我们的态度是：在坚持独立自主、自力更生的前提下，拥有“双赢”的思维，抱着开放的心态，加强国际的合作与交流，参与国际竞争，抓住机遇，接受挑战，在国际的竞争和合作中，提高我国的经济发展水平，跟随世界发展的潮流。概括而言，就是辩证地看待世界经济发展趋势这一经济现象，树立正确的.发展观。
课标要求：以欧洲联盟、北美自由贸易区及亚太经济合作组织为例，认识当今世界经济区域集团化发展趋势。
教学目标：
(1)知识与能力：分析第二次世界大战后西欧经济进入“黄金时代”的原因；简述欧洲国家从“欧共体”走向欧盟的历程,认识欧洲联盟成立对世界经济和政治格局的影响。
概述欧元产生的影响，培养多角度、多层次理解问题的能力。
(2)过程与方法：通过讨论西欧经济在二战后进入“黄金时代”的共同原因，进一步思考中国的社会主义建设应如何借鉴其合理的方法与正确的经验，学习用联系的方法看待问题，提高理论指导实践的能力；通过分组学习，搜集“欧共体”及“欧盟”成立的资料，了解整个欧洲走向联合的过程，认识当今世界经济区域集团化发展趋势。
(3)情感、态度与价值观：通过对欧洲走向联合这段历史的学习，认识当今国际社会国家间团结协作的重要性，树立国际意识；通过对欧洲走向联合的史实的归纳，得出一个别国家或地区怎样才能快速发展的一般规律；并结合我国的实际，进一步探讨一下我们可以借鉴哪些做法，从而树立为我国社会主义现代化建设而奋斗的责任感。
教学建议：
1、本课共有三个方面的内容，“西欧经济的'黄金时代'”主要讲述：二战后的20世纪50年代到60年代，西欧各国经济在恢复的基础上，进入调整增长期,被称为西欧经济的“黄金时代”；“从'欧共体到'欧洲联盟'”主要是欧洲从经济一体化到政治一体化的发展趋势；“货币王国的世界公民”主要以欧元的流通为例，进一步表明欧洲走向联合的趋势。
2、西欧经济高速发展的共同原因：第一，西欧各国进行社会改革和政策调整。进行社会改革，例如：推行福利制度，适当改善人民的生活条件，缓和社会矛盾，稳定社会秩序；进行政策调整，如：将一些私人垄断企业国有化，并建立有关国计民生的重要工业部门。这些政策的推行，促进了西欧经济的稳定持续高速发展，从而出现前所未有的繁荣。第二，马歇尔计划的实施，解决了西欧战后经济发展的启动资金，西欧重工业在短时期内完成了新的装备，并有能力购买足够的工业原料。第三，战后西欧广泛使用第三次科技革命的成果，并对产业部门进行了改造，使劳动生产率大大提高，从而有力地推动了经济的高速发展。
3、伴随着欧洲经济合作的成功，欧洲经济不断的恢复，要求在国际上发挥更重要的作用。因而要加强在政治领域的合作成为欧洲各国的一致要求。面对二战结束后以美苏为首的两极争霸的冷战格局，欧洲各国迫切要求组成一个更加强大的团体来维护自己的利益。于是在政治领域的合作很快便实施开来。
4、为进一步加强欧洲共同体之间的经济合作与交流，减少共同体内部成员国存在的贸易壁垒，用统一的货币在欧共体各国之间流通，实现经济的联合，从而进一步加强欧洲各国之间的政治合作。
课标要求：以欧洲联盟、北美自由贸易区及亚太经济合作组织为例，认识当今世界经济区域集团化发展趋势。
教学目标：
(1)知识与能力：了解东盟的发展历程，说说中国与东盟的交往情况；分析北美自由贸易区建立的原因和影响，比较北美自由贸易区与欧盟的异同；概述亚太经济合作组织建立的过程，探讨亚太国家加强合作的途径与方式。
(2)过程与方法：通过搜集中国与东盟交往的材料，了解东盟日益扩大及其影响；用列表等方式比较北美自由贸易区与欧盟的异同，学习用比较的方法认识历史问题；通过上网等途径搜集中国参加APEC会议的资料，多渠道去了解和认识APEC建立的史实及影响。
(3)情感、态度与价值观：通过对东盟、北美自由贸易区和亚太经合组织等区域经济一体化进程的学习和了解，体会当今世界国家间加强合作、竞争与发展的重要性，树立合作与竞争的意识。
重点难点：
重点：通过了解欧洲联盟、北美自由贸易区及亚太经济合作组织，认识当今世界经济区域集团化发展趋势。
教学建议：
1、在经济全球化的进程中，亚太地区的经济集团化也在不断深入发展。世界三大区域性经济集团有两个分别在该地区。这一地区成为当今世界上经济发展最活跃地区。课文分别以“东盟”、“北美自由贸易区”和“亚太经全组织”三个经济区域集团为例，介绍了当今世界经济区域集团化发展趋势。每个集团内部有着自身的规则的同时也不断与其它区域集团相联系，从而使世界经济形成了密不可分的一个整体。
2、东南亚国家联盟自1967成立以来，已经历时近三分之一世纪。东盟在维护和促进各成员国相互间的政治和经济合作,实现地区和平稳定,加快成员国经济增长,提高成员国人民生活水平等方面都取得了显著成绩。尤其是在国际政治方面，极大地增强了东盟的国际地位。东盟在由四大洲国家组成的APEC中具有举足轻重的政治地位，又是由亚欧两大洲主要国家参加的亚欧会议的倡议者和发起者,在东亚乃至亚洲政治舞台上成为使日本、中国和印度等大国瞠乎其后的主角。
3、日本经济的崛起，特别是欧洲经济一体化实施的外在压力，美国、加拿大和墨西哥3国发展各自经济的内在动力，是北美自由贸易区成立的根本原因。美、加、墨3国又是山水相连的邻邦；语言文字、价值观念、风俗习惯等又颇相似；经济互补性强；相互贸易基础良好，美、加、墨3国具有实行经济一体化的必要性，又具有实行经济一体化的可能性。美国认为要取得世界经济的主导地位，只有建立以自己为中心经济区域集团，才能在经济全球化大潮中立于不败之地。
4、二十世纪七十年代后，亚太地区，特别是东亚各国和地区的对外开放经济政策和经济迅速发展为亚太区域经济合作创造了条件。东亚地区经济的发展，国际收支条件的改善，缓解亚太地区南北之间的矛盾，为亚太经济合作创造了条件。欧共体统一市场和美加自由贸易区的建立，刺激了亚太向区域经济合作的方向发展。亚太经合组织的主要活动,为各成员提供区域经济,科技,贸易和发展等方面多边合作的机会,交流各成员在这些领域内的经验,促进本区域的共同发展.它从产生、发展及运作模式均区别于欧盟和NAFTA，有自身的特点，这些特点适应了APEC各成员国经济发展的状况和经济运行模式。
课标要求：
(1)以“布雷顿森林体系”建立为例，认识第二次世界大战后以美国为主导的资本主义世界经济体系的形成。
(2)了解世界贸易组织(WTO)的由来和发展，认识它在世界经济全球化进程中的作用。了解中国参加世界贸易组织(WTO)的史实，认识其影响和作用。
(3)了解经济全球化的发展趋势，探讨经济全球化进程中的问题。
教学目标：
(1)知识与能力：了解“布雷顿森林体系”建立的基本史实，分析其影响；简述世界贸易组织(WTO)的由来和发展，认识它在世界经济全球化进程中的作用；了解中国参加世界贸易组织(WTO)的史实，认识其影响和作用；概述经济全球化的发展趋势，探讨经济全球化进程中的问题。
(2)过程与方法：阅读课文和查找中国加入世贸组织谈判的历程等，了解“从GATT到WTO”的过程，围绕世界贸易组织建立的必要性并对中国加入WTO的利与弊等问题展开讨论；开展课堂讨论或辩论：经济全球化对本地区的影响是利大于弊还是弊大于利?如何解决经济全球化出现的问题?从多角度去分析历史问题。
(3)情感、态度与价值观：通过了解经济全球化与中国加入世界贸易组织带来的机遇与挑战，树立面向世界、积极参与国际合作与竞争、促进世界和平与发展的信念和为我国社会主义现代化建设而奋斗的责任感；通过了解经济区域集团化与世界经济全球化之间的相互关系，认识现实生活中合作
高中数学必修一课件 篇9
Designed by Xu Jianying, Ying Huihong, Zhao Lili Wu Xianfen, Jiang Jinling
I．Teaching aims and demands:
1.Skill goals:
Describe a journey.
Revise means of transportation.
The Present Progressive Tense expresses futurity.
Keep a travel journal to show personal impressions.
ction sentence patterns---Good wishes and farewells
Have a nice/ good time. Have a nice/good time.
Tare care. Good luck on your journey.
Say “ hello” to … Write to me.
Give my love / best wishes to … Have fun.
3.Vocabulary:
journal, fare, transport, finally, cycle, persuade, stubborn, insist, proper(ly), determine(d), altitude, valley, attitude, shorts, camp, record, topic, familiar, brave, give in, change one’s mind.
detail, atlas, glacier, rapids, waterfall, plain, delta, canyon, afterthought.
Vientiane, Laos, Phnom Penh, Cambodia, Ho Chi Minh, Vietnam, Mekong, Tibetan.
4.Grammar:
The Present Continuous Tense to express future actions.
II.The analysis of the teaching material:
1. Warming-up and listening: Let students know that travel is very common in modern society. Ask them to discuss the fares to get to one place for different kinds of transport. Do some listening practice
2. Pre-reading and reading: The word has many great rivers. One of them is the Mekong. Introduce a travel journal---Journey down the Mekong to students.
3.Learning about language: In this part, students will discover useful words and expressions and also learn useful structures---- the Present Continuous Tense to express future actions
5.Using language: Present how to write a travel journal and then practise writing
1st Period warming-up and listening
The First Period warming-up and listening
1. To talk about things related to travel, e.g. the place the fares and transport, etc.
2. To improve the Ss’ listening ability.
1. To talk about travel.
2. To tell the Ss how to catch the key points when they do listening.
Emotion goals:
There are so many beautiful places in China and the whole world. We should love our country, love the whole world and love nature.
a tape recorder, a projector and a computer
Show the photos of some beautiful places on the PowerPoint. （The Great Wall; Yuanming Yuan ; Budala Palace; Venice; The Liberty Statue in New York,America; Fujiyama.）Ask students whether they know where they are.
Then T ask: Do you like traveling? Ss: Yes
T: Why do you like traveling? (超级链接)：Enjoy beautiful scenery; Increase our knowledge; Make friends; Be good to health… Ss may have a lot of different ideas. Give them time to talk freely.
T ask: How will you prepare for traveling? (including the time, the place, the means, the cost, the things you’ll take along, … of traveling) (超级链接) :
1. time (超级链接): the Spring Festival; National Day; May Day; weekend;
summer( winter) vacation…
2.destination(超级链接): Enjoy some beautiful pictures of famous places with the whole class: Huangshan黄山; Jiuzhaigou九寨沟; Guilin桂林; Stone Forest
(石林); Jiuquxi(九曲溪; Yunufeng,wuyi(武夷玉女峰); Sanqing Mountain三清山;
Hangzhou; Longmen Caves (龙门石窟); Tian’anmen Square(天安门广场); Terracotta,Xi’an(西安兵马俑); Summer Palace(颐和园); London Bridge;
The Opera House悉尼歌剧院; Eiffel Tower艾菲尔铁塔.
3.What to do(超级链接): Rock climbing; rafting; bengee; skiing; hiking
Allow the Ss to talk more about it.
4.travel cost: talk with the Ss quickly.
5.things to take(超级链接): ID cards(身份证) passports; money (cash); a book of maps; 等。
6.means of transportation(超级链接): on foot; by bike; by bus; by car; by plane/by air; by boat/by ship/by sea
7. background information(超级链接): history; customs; culture; language; religion; politics; weather; …
8. Points for attention(超级链接): Don’t throw away waste; Don’t park your bike or car in the wrong parking lot; Don’t make a fire freely; Don’t feed animal; Protect animals and plants; Do as the guide tells you do; ….
T: Now, imagine that you live in Qinghai Province. You plan to spend a holiday with a friend somewhere in Southeast Asia. Choose three places to visit and find out the one –way fare to get there for different kinds of transport. Then, make up a dialogue In pairs, discuss the fares and decide where to go.
Before they do that task, show a map of Southeast Asia with detailed position of
Laos; Vietnam; Ho Chi Minh City; Phnom Penh; Thailand; Cambodia; Singapore; Malaysia.
Then show some pictures of the sceneries in these countries. Then give the Ss several minutes to prepare for the dialogue and then call some of them to act their dialogues out.
1.Listen to Part 3 CHATTING WITH A GIRL and tick the words .
2. Listen again to the tape and fill in the chart
3.Listen to Part 4 of JOURNAL DOWN THE MEKONG and tick the words you hear on the tape.
4.Listen to this material again and answer the questions.
(1)Who is telling the story? Wang Kun
(2)When did Wang Wei meet her cousins? In October in Dali
(3)Why didn’t they begin the journey in Tibet with Wang Wei and Wang Kun?
(4)Find a word that describe how the person telling the story feels about travelling in Laos. Afraid,alone,excited,glad…
5.Listen to Part 5. Wang Kun is describing a few of the things they saw during their tour. Pick out the correct in formation and then tell about their experience in Laos.
(1) In the village the cyclists saw ____B___.
A. electric lights B. candle lights C. kerosene lights
(2)After lunch they went to Vientiane ,the capital city of Laos by B.
(3)They greeted an old man by ____A____.
A. putting their hands together B. moving their heads C. waving their arms.
(4) In Vientiane, they saw _____C_____
A. trucks, buses and bicycles B. cars, motorbikes and buses
C. trucks, buses, jeeps and motorbikes
(5) The Mekong River is very rich in ____C__.
Make up a dialogue .
1. Learn something about the Mekong River through reading.
2. Students can use what they have learned to describe a trip.
3. Students should realize if they want to be successful, what personalities they should have.
Teaching important and difficult points:
1. Understand the text well.
2. Try to master the useful new words & expressions in this period.
Teaching aids: a computer & a projector
T: Do you like travelling?
Present some pictures of beautiful places to arouse their interest of travelling. Meanwhile, the teacher can also ask some more questions to make the students say something about their journey , such as their plans of trips, the difficulties they met in their journey and so on.
T: Q1: Have you visited any river? Q2: How many great rivers do you know?
Q3 : If you could travel down only one of them, which one would you choose? Why?
Ask the students the locations of some famous rivers in the world .(Mekong, Rhein, Seine, Nile, Thames, Congo, Amazon, Mississippi, Volg)
T: Have you visited the Mekong River? If no, let’s learn something about it.
1. Show a picture of the Mekong River and the brief introduction of it. Ask them:
Can you list the countries that the Mekong River flows through?
3. Enjoy the beautiful sights along the Mekong River to arouse their interest of it.
In this step, get the students to read the text and finish some tasks.
Task1: Scan the text quickly, then answer some questions
Q1. Who are Wang kun and Wang Wei?
Q2.What are their dreams?
Q3.Who are Dao Wei and Yu Hang?
Q4. Is it a difficult journey to cycle along the Mekong? Why?
Q5.What can you see when you travel along the Mekong River?
Task2: Listen to the tape and pay attention to the pronunciation, then do the T or F exercise.
kun is a high school student.
2.Both Dao Wei and Yu Hang are Dai and they grew up in eastern Yunnan province
3.The source of Mekong is in Qinghai province .
4.Finally Wang Kun agreed with his sister to cycle with her.
5.They found few atlas and books about Mekong River in library. 6. Mekong river begins at glacier on a Tibet mountain. the water there is clear but not cold.
7. Only a small part of the river is in China.
8.As it enters Southeast Asia, it moves slowly.
Read the text again and try to complete a form.
Mekong River begins ___ a glacier on a Tibetan mountain. At first ,The river is small and the water begins to move_______. It becomes ______as it passes ______ deep valleys. Traveling ______western Yunnan Province. Sometimes The River ______ wide Valley and becomes a_________. We were both surprised to learn that half of the river is in China . After it leaves china and the high altitudes, the Mekong becomes _____ , brown and warm. As it enters Southeast Asia, it travels slowly _________hills and low valleys, and the _____ where rice grows. at last the river’s delta enters the South China Sea.
An attitude is what a person thinks about something. Make lists of Wang Wei’s and Wang Kun’s similar and different attitudes about the trip.
Which character do you like,Wang Kun or Wang wei? Why?
Life is just a series of trying to make up your mind.
Success belongs to the persevering
1． Read the text again.
2． Write a passage about their journey.
The Third Period Learning about language
1.To revise the useful words and expressions.
2. To learn useful structures--- the Present Continuous Tense to express future actions.
the Present Continuous Tense to express future actions.
How to use the Present Continuous Tense to express a plan or something to be done according to plan..
一、Use the reading passage to find the correct word or expression for each of the following sentences.
1.He is so stubborn that no one can ____________ him to do anything.
2.A ___________ person always tries to finish the job, no matter how hard it is.
3._______ she has made up her mind, nothing will ___________________.
4.Is it_______ for us to take off our hats in church?
5.He ________ that we find the source of the trouble as soon as possible. Everyone agreed.
6.Do you remember every _____ of the story you have just read.
7.I wanted to pay the train ____ , but my friend insisted. _______I gave in.
8.She persuaded all of us to _______ to work instead of taking the bus。
Answer: 1. persuade 2. determined 3. Once; change her mind
4. proper 5. insisted 6. detail 7 fare; Finally 8. cycle
二、Match the words and the meanings
valley a high place from which a river suddenly goes down.
plain a fast-moving part of a river.
waterfall a long, low, wide place between hills.
delta the long place where a river enters the sea
rapids a large body of ice moving slowly down a high valley
glacier a deep, very wide valley, usually with a river
超级链接: some pictures of all these words to help Ss understand the meaning of the words more clearly.
三、Complete this passage with some of the above words.
I really enjoyed my school field trip in geography. We saw so many beautiful things: a _________ that flowed like a river of ice through a _______ that cut the mountains into two parts. We also discovered a river which fell off the mountains and become a wonderful __________this was even more exciting to see than the _______ where the water seemed to boil. Later we followed the river to a quieter ______ and finally into a ______ and the sea.
Answer: glacier valley waterfall rapids canyon delta
Enjoy a song to present the Present Continuous Tense:
Would you like to go out on Monday?
Why not?
I’m babysitting on Monday.
Would you like to go out on Tuesday?
No, sorry, I can’t.
Why not?
I’m doing my laundry on Tuesday.
Would you like to go out on Wednesday?
No, sorry, I can’t.
Why not?
I’m working overtime on Wednesday.
Would you like to go out on Thursday?
No, sorry, I can’t.
Why not?
I’m working out on Thursday.
Would you like to go out on Friday?
No, sorry, I can’t.
Why not?
I’m visiting relatives on Friday.
Would you like to go out on the weekend?
Well… maybe!
Ask the Ss to answer: What is she doing on Monday/Tuesday…?
The Present Continuous Tense for future use
The present continuous tense can be used to express a plan or an arrangement.
现在进行时可用来表示一个在最近按计划或打算要进行的动作；通常带一个表将来的时间状语, 但有明确的上下文时无须指出时间。
能用进行时表将来的动词：
go, come, leave, start, arrive, give, return, sleep ,stay, play, do, take, get, see off, travel, fly, drive, walk, reach, meet…
1. Look at the following dialogue and underline the verbs in this tense.
A: Are you working this evening?
B: No. We’re having an English party, don’t you know?
A: Yes, I do. And we’re giving some performance at the party. What are you going to do?
B: I’m singing song with my classmates.
2. In the following dialogue, a newspaper reporter is interviewing Wang Wei about her plans for the trip along the Mekong River. However, they are not sure about some of the verb tenses. Please help them complete their conversation.
R: Miss Wang. I hear that you _____________ along the Mekong
River. That’s really exciting. Have you got everything ready?
R:When are you _________ ?
R: How far are you _______ each day?
W:It’s hard to say. If the weather is fine, I think we’ll be able to ride 75km a day.
R:Where are __________ at night?
W: Usually in our tent, but sometimes in a small hotel in town.
R: Do you think you are ______ back here soon?
W:Oh, we __________ back to this place.
We __________ home. That’ll be a month later.
R:Thank you for your time, Miss Wang. Good luck on your journey!
Answer: are going to cycle ; leaving; cycling; you staying; coming; aren’t coming; are returning
3. Multiple choice:
1.--I’m going to the states.
-- How long ____ you _______ in the States?
A. are ; stayed B. are ; staying C. have ; stayed D. did ; stay
2.--Will you tell us something about the weather there?
--I ________ to that.
A. go B. come C. am going D. am coming
3.-When are you leaving?
--The plane ________ at 11:05.
A. takes off B. took off C. will take off D. taking off
4.-I believe if we _________ abroad, most probably we will go by CAAC.
A. have been B. are going C. had been D. were going
5.-I’m going to Shanghai for a few weeks.
--_______________.
A. Good-bye B. So long C. Have a good time. D.I like it
6. A new play _____ at the theatre this week. Would you like to see it?
A. has been put on B. has put on C. is being put on D. will put on
7.-Where are you going for your holidays?
-_________.
A. What a good idea B. I’m going to Spain on business
C. I won’t have to go D. I haven’t made up my mind yet
8.-I’ll go camping this weekend.
--_____________.
A. Don’t give up now B. No, I’m too busyC. Have a good time D. Can you fish?
9.I’ve won a holiday for two to Florida. I ____ my mum.
A. am taking B. have taken C. take D. will have taken
Answer: 1.B 2.C 3.A 4. B 5. C 6. C 7. B 8. C 9. A
1. First show an example: Where you going on holiday?
A: Yanzi, where you going on holiday? B: I’ m going to Laos.
A: When are you leaving? B: Next Sunday.
A: How are you going to Laos? B: I’m taking a plane.
A: How long are you staying there? B: About two weeks.
A: Great. Have a good trip. B: Thanks.
Farewells:
Have a good trip/ journey; Have a good day/ time;
Enjoy yourself; Best wishes; Have fun; Good luck; Take care!
2. A game:
Divide the class into two groups with one leader. Each group will need one coin and a counter.
Procedure: 1. Show the Ss the board game.
2. Demonstrate the task: toss a coin and explain that one side of the coin means move two spaces, the other means move one space. Move your counter onto a square and speak for thirty seconds on the subjects of the square.
Encourage questions.
2.Review The Present Continuous Tense ,then do exercises on Page57,58
Teaching goals:
1). To read the passage A NIGHT IN THE MOUNTAINS
2). To use the language by reading, listening, speaking and writing. Teaching important and difficult points:
1).Improve the students’ writing ability.
2).Enable the students to understand the passage better.
1. Enjoy the music “青藏高原”
2. Appreciate the beauty of Tibet.
3. Ask students several questions about the pictures, e.g.
What do you think of these pictures?
What’s the weather like there?
Do you want to go there? etc.
4. Talking about Tibet.
Have you ever been to Tibet? Do you want to travel in Tibet? Can you tell me something about Tibet?
Tibet lies on the Qinghai-Tibet Plateau of the southwest border of China. The average height of the whole region is more than 4,000 meters above sea level, for which Tibet is known as “Roof of the World”. The highest peak of Tibet, also the highest in Himalayas and in the whole world, is Everest Peak, which is as high as 8,846.27 meters above sea level.
Although a part of China, Tibet has a unique culture of all its own. It is mainly inhabited by Tibetans, a minority nationality of old and mysterious people. Tourist attractions include the Potala Palace in Lhasa, Jokhang Temple, and a number of Buddhist sacred places.
Tibet (Xi Zang in Chinese) is to the south of Xin Jiang Uygur Autonomous Region and Qing Hai Province, to the west of Sichuan, to the northwest of Yunnan and to the north of India and Nepal. Its population of 2.3 million people come from a variety of ethnic groups including Tibetan, Han, Monba and Lhota. Its capital city is Lhasa. Northwest Tibet, mainly Qing Hai plateau, is home to a variety of unusual and unique animals. Across the northern expanse of Tibet, you can see vast grasslands where horses, yak and sheep roam freely. The world's lowest valley, the Grand Yarlun-tzanpo River Valley lies in east Tibet. It is freezing cold in most time of the year. Most tourists come to visit Tibet only in the warmest seasons, June, July, August and early September.
We know Wang Wei and Wang Kun have traveled down the Mekong. Today they have reached the Tibetan Mountains. They will stay there for a night. Now let’s look at the passage “A night in the mountains” on page 22. Read it quickly to find the main idea. Show some questions.
1.How does Wang Kun feel about the trip now?
2.What do you think has changed his attitude?
3.Is it natural for Wang Kun not to feel lonely?
4.Would you feel the same way in this situation? Why or Why not?
Let the students listen to the recorder and mark the rising and falling tone of each sense group and sentence. Then practice reading aloud. Pay attention to pronunciation and intonation.
Suppose Wang Wei and Wang Kun leave their camp the next morning and go on with the journey. Make a short dialogue between them.
Sample dialogue :
--Oh , up so early?
--Early? It’s nearly 9 o’clock.
--Oops! (Look at his watch). I guess you’re right.
--Why were you so tired?
--Well, I stayed up late last night to watch the stars.
--That’s nice. They must be pretty.
--Yes, they are.
Then ask students to make up their own dialogues. They may discuss and practice in pairs.
In this unit, we have read the first two parts of a travel journal and have listened to the third part of the travel journal. What is the difference between a journal and a diary? Let’s read the passage on page 23 and find out the difference between the two.
Now let’s do a writing practice. Imagine that you are a friend of Wang Wei. Write a short letter to her and ask her to describe: how she feels, what she is doing, and some place you want to know about. Then wish her well on her journey by using at least two of these expressions:
Have a nice/good time. Have a nice/good trip. Take care.
Good luck on your journey. Say “Hello” to …. Write to me.
Give my best/love wishes to …. Have fun.
Tell the students that they can refer to the following steps.
In pairs. Choose the details from the journey that are most interesting. Think of what else you would like to know about the journey. Write these ideas down as questions.
Now choose two or three of the best questions for your letter. Each question should have another sentence explaining why you want to know this information.
Put them in an order that makes sense.
Begin your letter as shown in the textbook and add your questions for Wang Wei.
Finish your letter as shown in the textbook.
A sample writing:
Hi, brave little Wei,
How I worry about you and Wang Kun! Do you have a good time now? I hope so. What are you doing now? Are you still in Laos? Can you tell me something about people’s life there? When are you leaving for Cambodia? When you get there, tell me about the Buddhist temples there. Please send some photos with your next letter! Well, Have a good trip and don’t forget to write to me! Give my best wishes to Wang Kun. Good luck on your journey.
Take care!
3. Read the passage in workbook( page 59) “The end of our journey ”.
1. one-way fare / single-way fare (单程票价), round-way fare (往返/双程票价)
2. different kinds of transport (Br.E) / transportation(Am.E)
3. journey down the Mekong 湄公河之旅
有 “沿着”之意,相当于 “along”,
1) 由北向南,由西向东用down, 反之用up;
2) 由城镇向农村时用down, 反之用up;
3) 依门牌号码,由大数字向小数字行进时,应用down ,反之用up;
4) 由上而下,如:沿着山坡而下,沿着江河顺流而下,从楼上到楼下由住宅到街上，应用down,
Para.1: 4. dream of / about doing 梦想，梦见（后接名词，代词，动名词）
e.g. What a small world! I wouldn’t dream of meeting you here.
The young soldier sometimes dreams of his hometown.
dream n. have/dream a dream, realize a dream
5. take a bike trip *
6. get a chance to do *
7. finally, adv. 最后，终于final adj. 最后的，n （常用复数）决赛，期末考试
e.g. We waited and waited, and the train finally arrived.
What is the final score of the table tennis single for men?
How are you prepared for your finals?
8. cycle along *
9. go for bike rides *
10. in the countryside *
11. persuade sb (not) to do, 说服某人（不）做…
Then she persuaded me to buy one.=Then she succeeded in asking me to buy one.
e.g. The salesman persuaded us to buy his product.
He tried to persuade me that he was honest.
persuade sb to do sth 指成功地说服,
“说而不服, 或说而无果”应用 advise sb to do sth / try to persuade sb to do
12. at the college/ university *
13. get / make sb interested in = interest sb, show interest in sth/ sb
get+ n./pron.+adj.=make + n./pron.+adj.
e.g. They didn’t get home after school as usual, which got/ made mother worried.
Para.2: 14. Although she didn’t know the best way of… although “虽然,但是”,引导让步状语从句,不与but连用
though一般可与although互用，引导的让步状语从句有时用倒装语序.作副词时, “然而,可是”,通常放于句尾,并用逗号与句子隔开
e.g. Young though he is, he is very rich.
He said he would come; he didn’t, though.
15. a way of doing/ to do *
e.g. She didn’t know the best way of getting to places.= She didn’t know the best way to get to places.
16. insist (若insist后面宾语从句的主语与主句的主语不一致,谓语由加动词原形构成,
insist that sb (should)do 坚持认为，坚持说
insist on/upon sth/ doing 坚持做，坚决做
e.g. We insisted that father (should) give up smoking.
She insisted on/upon going to Beijing by air.
17. care about, care for, care to do
care about关心,忧虑 care for喜欢,照顾 care to do愿意/同意做某事
e.g. I don’t care (about) what happens to him.
Would you care for a drink?
Would you care to go for a walk?
18. give sb a determined look, determined坚定的,坚决的
e.g. They were determined to drive the enemy away from their country.=They determined to drive…
determine to do= make up one’s mind to do, decide to do
19. change one’s mind, mind此处解“意见，想法”，
e.g. Once he has made up his mind, nothing can be done to change his mind.
20. at a altitude of…* 在海拔…米处 at a altitude of 10,000 feet
21. be excited about *
22. breathe the air, take a breath
23. experience “经验，感受” have experience in/at doing
“经历，体验”
e.g. I’d prefer a lady with rich experience in/ at looking after babies.
His experiences in Africa are interesting.
24. give in 屈服，投降，让步 give in to sb 向某人让步，屈服于某人
e.g. The mother gave in and bought a toy for her child.
Don’t give up. You still have chances to win in the match.
Para.3: 25. pass through through指从两边穿过或穿过空间内部, across指从一定范围的一边到另一边 “横跨”表面
26. be surprised to do *
Sentence focus:
1. It was my sister who first had the idea…
强调句型：It is / was+被强调部分+ that/ who+其余部分
注意：强调句中it不能更换，is/was与“其余部分”的时态一致，数不受被强调部分单复数的影响，被强调部分可以是除谓语以外的任何成分，被强调部分是人可用that/who，其它一律用that.被强调若是原句的主语，who/that之后的谓语动词在人称和数上与该主语一致。
e.g. I saw John in the street this morning.
---- It was I who/that saw John in the street this morning. （强调主语）
---- It was John that/ whom I saw in the street this morning. （强调宾语）
---- It was in the street that I saw John this morning. （强调地点状语）
---- It was this morning that I I saw John in the street. （强调时间状语）
2. She gave me a determined look---the kind that said…, the kind=the kind of look
the kind是a look的同位语,后面是that引导的定语从句, 其中say指 “指明,表明”
e.g The clock on the wall said a quarter to ten.
3. Once she has made up her mind, nothing can change it.=When she has made up hermind, nothing can change it.
once conj.一旦……(就), 一经……便……,相当于as soon as
e.g. Once you understand the rule, you will have no difficulty.
What will we do once the money is gone/ used up?
一旦做了，就要把事情做得最好.
Once you do it, you should do it best.
4. It becomes rapids as it passes through deep valleys, traveling across…traveling 是现在分词作伴随状语.
e.g. They came to the street, looking for the lost dog.
Aruba Jamaica ooo I wanna take you
Bermuda Bahama come on pretty mama
Key Largo Montego baby why don't we go Jamaica
That's where you wanna go to get away from it all
Tropical drink melting in your hand
To the rhythm of a steel drum band
Aruba Jamaica ooo I wanna take you
To Bermuda Bahama come on pretty mama
Key Largo, Montego baby why don't we go
Ooo I wanna take you down to Kokomo
To Martinique, that Monserrat mystique
By and by we'll defy a little bit of gravity
Aruba, Jamaica ooo I wanna take you
To Bermuda, Bahama come on pretty mama
Key Largo, Montego baby why don't we go
Ooo I wanna take you down to Kokomo
Port Au Prince I wanna catch a glimpse
Aruba, Jamaica ooo I wanna take you
To Bermuda, Bahama come on pretty mama
Key Largo, Montego baby why don't we go
Ooo I wanna take you down to Kokomo
Aruba, Jamaica ooo I wanna take you
To Bermuda, Bahama come on pretty mama
Key Largo, Montego baby why don't we go
Ooo I wanna take you down to Kokomo
高中数学必修一课件 篇10
3.数列{an}的前n项和Sn=n2-7n-8,
4.等差数列{an}的公差为,S100=145，则a1+a3 + a5 + …+a99=
5.已知方程(x2-2x+m)(x2-2x+n)=0的四个根组成一个首项为的等差数列，则|m-n|=
7.四数中前三个数成等比数列，后三个数成等差数列，首末两项之和为21，中间两项之和为18，求此四个数
8.在等差数列{an}中，a1=20，前n项和为Sn，且S10= S15，求当n为何值时，Sn有最大值，并求出它的最大值
0.已知f(x)=x2 -2(n+1)x+ n2+5n-7 (n∈N)
(1)设f(x)的图象的顶点的横坐标构成数列{an}，求证数列{an}是等差数列
(2设f(x)的图象的顶点到x轴的距离构成数列{dn}，求数列{dn}的前n项和sn.
11 .购买一件售价为5000元的商品，采用分期付款的办法，每期付款数相同，购买后1个月第1次付款，再过1个月第2次付款，如此下去，共付款5次后还清，如果按月利率0.8%，每月利息按复利计算(上月利息要计入下月本金)，那么每期应付款多少?(精确到1元)
函数关系式是f(t)=
注：对于分段函数型的应用题，应注意对变量x的取值区间的讨论;求函数的最大值，应分别求出函数在各段中的最大值，通过比较，确定最大值
棱柱的定义：有两个面互相平行，其余各面都是四边形，并且每两个四边形的公共边都互相平行，这些面围成的几何体叫做棱柱。
棱锥的定义：有一个面是多边形，其余各面都是有一个公共顶点的三角形，这些面围成的几何体叫做棱锥
(2)平行于底面的截面与底面是相似的多边形。且其面积比等于截得的棱锥的高与远棱锥高的比的平方
正棱锥的定义：如果一个棱锥底面是正多边形，并且顶点在底面内的射影是底面的中心，这样的棱锥叫做正棱锥。
正棱锥的性质：
(1)各侧棱交于一点且相等，各侧面都是全等的等腰三角形。各等腰三角形底边上的高相等，它叫做正棱锥的斜高。
a、相邻两侧棱互相垂直的正三棱锥，由三垂线定理可得顶点在底面的射影为底面三角形的垂心。
b、四面体中有三对异面直线，若有两对互相垂直，则可得第三对也互相垂直。且顶点在底面的射影为底面三角形的垂心。
一)、课内重视听讲，课后及时复习。
新知识的接受，数学能力的培养主要在课堂上进行，所以要特点重视课内的学习效率，寻求正确的学习方法。上课时要紧跟老师的思路，积极展开思维预测下面的步骤，比较自己的解题思路与教师所讲有哪些不同。特别要抓住基础知识和基本技能的学习，课后要及时复习不留疑点。首先要在做各种习题之前将老师所讲的知识点回忆一遍，正确掌握各类公式的推理过程，应尽量回忆而不采用不清楚立即翻书之举。认真独立完成作业，勤于思考，从某种意义上讲，应不造成不懂即问的学习作风，对于有些题目由于自己的思路不清，一时难以解出，应让自己冷静下来认真分析题目，尽量自己解决。在每个阶段的学习中要进行整理和归纳总结，把知识的点、线、面结合起来交织成知识网络，纳入自己的知识体系。
二)、适当多做题，养成良好的解题习惯。
要想学好数学，多做题是难免的，熟悉掌握各种题型的解题思路。刚开始要从基础题入手，以课本上的习题为准，反复练习打好基础，再找一些课外的习题，以帮助开拓思路，提高自己的分析、解决能力，掌握一般的解题规律。对于一些易错题，可备有错题集，写出自己的解题思路和正确的解题过程两者一起比较找出自己的错误所在，以便及时更正。在平时要养成良好的解题习惯。让自己的精力高度集中，使大脑兴奋，思维敏捷，能够进入最佳状态，在考试中能运用自如。实践证明：越到关键时候，你所表现的解题习惯与平时练习无异。如果平时解题时随便、粗心、大意等，往往在大考中充分暴露，故在平时养成良好的解题习惯是非常重要的。
三)、调整心态，正确对待考试。
首先，应把主要精力放在基础知识、基本技能、基本方法这三个方面上，因为每次考试占绝大部分的也是基础性的题目，而对于那些难题及综合性较强的题目作为调剂，认真思考，尽量让自己理出头绪，做完题后要总结归纳。调整好自己的心态，使自己在任何时候镇静，思路有条不紊，克服浮躁的情绪。特别是对自己要有信心，永远鼓励自己，除了自己，谁也不能把我打倒，要有自己不垮，谁也不能打垮我的自豪感。
在考试前要做好准备，练练常规题，把自己的思路展开，切忌考前去在保证正确率的前提下提高解题速度。对于一些容易的基础题要有十二分把握拿全分;对于一些难题，也要尽量拿分，考试中要学会尝试得分，使自己的水平正常甚至超常发挥。
由此可见，要把数学学好就得找到适合自己的学习方法，了解数学学科的特点，使自己进入数学的广阔天地中去。
高中数学必修一课件 篇11
通过第一章《空间几何体》的学习，学生对于立体几何已经有了初步的认识，能够识别棱柱、棱锥、棱台、圆柱、圆锥、圆台、球，并理解它们的几何特征。但是这种理解还只是建立在观察、感知的基础上的，对于原理学生是不明确的，所以学生此时有很强的求知欲，急于想搞清楚为什么;同时学生经过高中一年的学习，已经具备了一定的逻辑推理能力，只是缺乏训练，不够严密，不够清晰;有一定的自主探究和合作学习的能力，但有待提高，并愿意动手并参与分组讨论。
1. 理解空间点、直线、平面的概念，知道空间点、直线、平面之间存在什么样的关系;
2. 记忆三公理三推论，能够用简单的语言概括三公理三推论，会用图形表示三公理三推论，并将其转化成数学符号语言;
3. 明确三公理三推论的功能，掌握使用三公理三推论解决立体几何问题的方法。
1. 通过自己动手制作模型，直观地感知空间点、直线与平面之间的位置关系，以及三公理三推论;
2. 通过思考、讨论，发现三公理三推论的条件和结论;
3. 通过例题的训练，进一步理解三公理三推论，明确三公理三推论的功能。
1. 通过操作、观察、讨论培养对立体几何的兴趣，建立合作的意识;
2. 感受立体几何逻辑体系的严密性，培养学生细心的学习品质。
1. 理解三公理三推论的概念及其内涵;
(1)每位同学准备两张硬纸板，其中一张中间用小刀划条缝，铅笔三根;
(2)教师自制的多媒体课件。
1. 回忆构成平面图形的基本元素：点、直线。①两者都是最原始的概念，点没有大小、面积、厚度，直线是向两侧无限延伸的;②点用大写英文字母表示，直线用小写英文字母表示;③ 如果将点看作元素，则直线是一系列点构成的集合，所以点在直线上记作，点不在直线上记作;
2. 提出问题：构成空间几何体有哪些基本元素?(大屏幕出示棱柱、棱锥、棱台)学生很快得到答案：点、直线、平面。
3. 引入课题：什么是平面?点、直线、平面之间有什么样的位置关系?平面有什么性质?这就是我们这堂课要研究的问题。
平面也是一个最原始的概念，是向四周无限延伸的，没有边界。一般用希腊字母、、，…表示平面，或者记为平面ABC，平面ABCD等等。
①点与直线;②点与平面;③直线与平面。
问题二：要将铅笔放置到硬纸板内至少需要几个公共点?
学生通过操作，体会到要将铅笔放置到硬纸板内，只需将铅笔上两点放置到硬纸板内。
学生通过操作，体会公理二所表达的含义。
问题三：还能根据什么条件确定一个平面?引出三推论。
学生通过操作，体会公理三所表达的含义。
⒈平面具有无限延展性;
⒉ 公理一有什么功能?条件是什么?
⒊ 公理二有什么功能?条件是什么?
⒉平面几何中证明平行四边形有哪些定理?这些定理在空间中能否成立?说明理由。