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本讲以选择题、填空题考察本章的基本概念和性质,重点考察平面向量的数量积的概念及应用。重点体会向量为代数几何的结合体,此类题难度不大,分值5~9分。

平面向量的综合问题是“新热点”题型,其形式为与直线、圆锥曲线、三角函数等联系,解决角度、垂直、共线等问题,以解答题为主。

预测07年高考:

(1)一道选择题和填空题,重点考察平行、垂直关系的判定或夹角、长度问题;属于中档题目。

(2)一道解答题,可能以三角、数列、解析几何为载体,考察向量的运算和性质;

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2.向量的应用

经历用向量方法解决某些简单的平面几何问题、力学问题与其他一些实际问题的过程,体会向量是一种处理几何问题、物理问题等的工具,发展运算能力和解决实际问题的能力。

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1.平面向量的数量积

①通过物理中"功"等实例,理解平面向量数量积的含义及其物理意义;

②体会平面向量的数量积与向量投影的关系;

③掌握数量积的坐标表达式,会进行平面向量数量积的运算;

④能运用数量积表示两个向量的夹角,会用数量积判断两个平面向量的垂直关系。

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40. There ________ be a lot of small houses on both sides of the street.

A. used to      B. get used to         C. would        D. did use to

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39. The girl _________ out alone at night.

  A. dare not go     B. dare not to go       C. dares not go      D. does not dare go

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38. You _________ pay more attention to your spelling next time.

     A. would       B. should        C. will          D. shall

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37. You _________ do the exercise if you don't want to.

     A. may not      B. can't         C. mustn't            D. needn't

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36. "May I go now?" "No, you ________. "

   A. mustn't        B. needn't         C. mightn't           D. won't

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35. The teacher told the students that they ________ keep silent in class all the time.

   A. ought to not      B. ought not to           C. ought not to have    D. can't

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34. You _________ me about it earlier, but you didn't.

   A. should have told     B. would have told     C. must have told     D. should tell

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