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2013年教育部考试中心命制了三套高考试卷(两套新课标卷,一套大纲卷),这三份试卷都凸显能力立意,注重考查核心知识,全面检测数学思想方法,题型保持稳定,注重通性通法.笔者认为这三份试卷供不同考区选用,利于高校选拔新生,体现了高考对能力要求的一致性.本文就三个解答题给出解答与简评.例1(新课标卷Ⅰ)已知函数f(x)=x2+ax+b,g(x)=ex(cx+d),若曲线y=f(x)和曲线y=g(x)都过点P(0,2),且在点P处有相同的切线y=4x+2.
In 2013, the Ministry of Education Examination Center ordered three sets of college entrance examination papers (two sets of new curriculums and one set of synopsis volumes). All three papers highlight ability conception, focus on examination of core knowledge, comprehensive detection of mathematical thinking and methods, Stability, pay attention to Tonglian Tong law.I think these three papers for different test area selection, which will help colleges and universities selection of freshmen, reflects the consistency of the college entrance examination on the ability requirements.This paper gives answers to three answer questions and comments.Example 1 ( The new curricula I) have known function f (x) = x2 + ax + b, g (x) = ex (cx + d), if the curve y = f (x) and the curve y = g Point P (0,2), and have the same tangent at point P y = 4x + 2.