SAMPLE 8 [数学类] 题目序号 题型归类 第1题 段落结构题型 第2题 审题定位与引申推导题型 第3题 审题定位与细节推导题型 第4题 审题定位与关键词语题型 第5题 指代词题型 Computer programmers often remark that computing machines, with aperfect lack of discrimination, will do any foolish thing they are told to do.The reason for this lies, of course, in the narrow fixation of the computingmachines intelligence on the details of its own perceptionsitsinability to be guided by any large context. In a psychological description ofthe computer intelligence, three related adjectives come to mind:single-minded, literal-minded, and simple-minded. Recognizing this, we shouldat the same time recognize that this single-mindedness, literal-mindedness, andsimple-mindedness also characterizes theoretical mathematics, though to alesser extent. Since science tries to deal with reality, even the most precisesciences normally work with more or less imperfectly understood approximationstoward which scientists must maintain an appropriate skepticism. Thus, forinstance, it may come as a shock to mathematicians to learn that theSchrodinger equation for the hydrogen atom is not a literally correctdescription of this atom, but only an approximation to a somewhat more correctequation taking account of spin, magnetic dipole, and relativistic effects; andthat this corrected equation is itself only an imperfect approximation to an infiniteset of quantum field-theoretical equations. Physicists, looking at the originalSchrodinger equation, learn to sense in it the presence of many invisible termsin addition to the differential terms visible, and this sense inspires anentirely appropriate disregard for the purely technical features of theequation. This very healthy skepticism is foreign to the mathematical approach. |