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2015年全国高考课标Ⅰ卷理科数学第20题,是以抛物线为背景、以导数几何意义、直线与抛物线的位置关系为着力点命制的一道综合题.本题特点是题干清晰、设问精炼简洁,题目阅读量小,没有偏、烦、难、怪的味道,中规中矩,渗透了人文关怀的思想.此题重在考查学生的运算求解能力、推理论证能力、抽象概括能力;也考查了学生数形结合、函数与方程的、化归与转化等数学思想.此题第(2)小题虽然是考查直线和抛物线位置关系的一
2015 National Curriculum Ⅰ Curriculum Mathematics Science 20, is based on the parabola as the background, with the geometric meanings of the derivative, the relationship between the line and the parabola as a focus on the task of a comprehensive problem. Refined and concise, the subject of small amount of reading, no bias, annoyance, difficulty, strange taste, quite satisfactory, infiltrated the thought of humanistic concern .This emphasis on examining students’ ability to solve, reasoning, argumentation, abstraction ability; also examined Student number form combination, function and equation, and return to normalization and transformation of mathematical ideas .This question (2), although the problem is to examine the relationship between the line and the parabola