Question

4．Have you ever thought，"Why do I have to learn math？I'm never going to use it!"Sometimes students think math is （66）justsomething to bore them，and that it has no practical
（67）valueat all．Is it true？
Math is the tool and language of economics，engineering and other sciences．It is （68）usedin almost every field of the world．When workers build buildings with perfectly square corners，the Pythagorean Theorem （勾股定理） is （69）helpful．When you want to know what scores you need to get on a final exam to become the top 10 percent of your grade，math can help you．Even your HDTV （高
清电视） relies on mathematics，too．
Moreover，math provides us （70）witha lot of skills in problem solving．When （71）solvinga math problem，we need to define the problem，think of ways and use a certain method to get the results．In this way，you （72）developyour ability to make complex （复杂的） decisions down the road．Besides，math teaches us logic （逻辑） and order．When we want to get a certain result in math，we must （73）followexact steps．The training of mind that children
achieve in math class can carry over into everyday life．?
（74）Throughmath，we can also learn some thinking skills．For example，when students are required to explain （75）howthey get to a way of a complex problem or to describe the ideas behind a formula，they are in fact using a way of thinking．
    You may never need to use the quadratic equation （二次方程） in your adult life，but the process of learning it may improve you in certain ways you may never think about．

Answer 1

分析 文章主要向我们讲述了学校里学习数学在我们未来的工作和生活中会有很大的作用，下文具体介绍了学好数学的用途．

解答 66．just 副词考查：根据第一段前文Why do I have to learn math？I'm never going to use it为什么我要学数学？我永远不会用它．结合后文，即表达数学只是让他们厌烦的东西，故填just．
67．value 名词考查：根据第一段前文Why do I have to learn math？I'm never going to use it为什么我要学数学？我永远不会用它．即同学们认为学习数学没有实际的价值，故填value．
68．used 动词被动语态考查：根据第二段前文Math is the tool and language of economics，engineering and other sciences数学是经济学、工程学和其他科学的工具和语言．即它广泛运用于世界的每个领域，为被动语态，故填过去分词used．
69．helpful  形容词考查：根据第二段后文math can help you数学能够帮助你．推测数学中的勾股定理是有作用的，故填形容词helpful．
70．with 介词考查：结合题意，本题考查固定短语provide sb．with sth．：提供某人某物，故答案是with．
71．solving  非谓语动词考查：根据第三段math provides us （70）with a lot of skills in problem solving数学给我们提供了很多解决问题的技巧．结合题意，故答案是solving，即when （we are ） solving．
72．develop  动词考查：根据第三段we need to define the problem，think of ways and use a certain method to get the results我们需要定义问题，想办法，使用某种方法得到结果．即用这种方法，你提高了解决复杂问题的能力，结合题意，填develop．
73．follow 动词考查：根据第三段math teaches us logic （逻辑） and order．When we want to get a certain result in math数学教我们逻辑和步骤．当我们想得到一定的数学结果时，我们就必须遵守数学的逻辑和步骤，故答案是follow．
74．Through  介词考查：根据第四段we can also learn some thinking skills我们还可以学习一些思考技巧．结合题意，即表达：通过数学，们还可以学习一些思考技巧．故答案是Through（介词）
75．how 疑问副词考查：根据第四段they get to a way of a complex problem or to describe the ideas behind a formula，they are in fact using a way of thinking．他们得到一个复杂的问题或描述公式背后的想法的方式，他们实际上是使用一种思维方式．结合题意，故此处表达学生被要求解释他们如何得到一个复杂的问题或描述公式背后的想法，故答案是how．

点评 本文是一篇阅读理解填词题，在解题时，务必充分利用上下文的语境和逻辑关系，找到解题的依据，在书写单词时，一定要考虑单词的正确形式．