探究题

问题再现：

数形结合是解决数学问题的一种重要的思想方法，借助这种方法可将抽象的数学知识变得直观起来并且具有可操作性，从而可以帮助我们快速解题．初中数学里的一些代数公式，很多都可以通过表示几何图形面积的方法进行直观推导和解释．

例如：利用图形的几何意义证明完全平方公式．

证明：将一个边长为a的正方形的边长增加b，形成两个矩形和两个正方形，如图1：

这个图形的面积可以表示成：

（a+b）²或a²+2ab+b²

∴（a+b）² =a²+2ab+b²

这就验证了两数和的完全平方公式．

   Steven Jobs, the designer of Apple Computer, was not clever when he was in school. At that time, he was not a good student and he always made troubles with his schoolmates. When he went into college, he didn't change a lot. Then he dropped out（退学）. But he was full of new ideas.
   After he left college, Steven Jobs worked as a video game designer. He worked there for only several months and then he went to India. He hoped that the trip would give him some new ideas and give him a change in life. Steven Jobs lived on a farm in California for a year after he returned from India.
   In 1975, he began to make a new type of computer. He designed the Apple Computer with his friend in his garage (汽车库). He chose the name "Apple" just because it could help him to remember a happy summer he once spent in an apple tree garden. His Apple Computer was such a great success that Steven Jobs soon became famous all over the world.

美国科幻大片《阿凡达》讲述地球人试图从遥远的潘多拉星球开采矿产以解决地球的能源危机而与“纳美人”（潘多拉星球的土著人）发生一系列的矛盾冲突。据此完成下列各题