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2013年高考理科数学全国卷1,在坚持课标理念和考纲要求的前提下,更加关注学科自身特点,突出对思维能力、平面几何知识以及图形处理能力的考查.如第17题摒弃了解三角形问题一惯的考查思路,其中涉及多个三角形(通常的题目只有一个三角形),而且又渗透了一定的平面几何知识;第20题也同样加强了对图形及平面几何知识的考查,其中涉及到了圆与圆的相切问题、两圆的公切线以及椭圆定义等相关知识;第16题若按常规思路的话,其计算量可谓大矣!但如果方法得当、思路正确,其计算量还是会得到控制的.事实上,计算量与思维量之间存在着一种对立统一的关系,思维量越小(即越容易上手)往往计算量就越大,反之就越小.解法多样是高考数学试题的一大特点,本套试卷中,有很多题目就非常好的体现了这一特点,充分彰显了选拔性考试的魅力.透视多种解法,甄别思维差
In 2013 college entrance examination science mathematics nationwide volume 1, insist on the subject of the standard concept and the syllabus of the premise, pay more attention to the characteristics of the subject itself, highlighting the ability of thinking, plane geometry and graphics processing capabilities of the test.If the 17th question to understand the triangle A habit of thinking, which involves multiple triangles (usually only one triangle topic), but also infiltrate a certain degree of plane geometry; the same problem 20 also strengthened the knowledge of graphics and plane geometry, which involves the circle The problem of tangency with the circle, the common tangency of the two circles, and the definition of the ellipse; the 16th question can be said to be very computationally intensive if it is based on conventional thinking. However, if the method is correct and the thinking is correct, the amount of calculation will still be controlled In fact, there is a contradictory relationship between the amount of computation and the amount of thinking, the smaller the amount of thinking (that is, the more easy to use) is often the greater the amount of computation, and vice versa the smaller. A major feature of this set of papers, there are many topics on the very good embodiment of this feature, fully demonstrates the attractiveness of the selective examination. Perspective a variety of solutions, screening poor thinking