导数是微积分的重要基础概念,也是唯一选入高中课本的高等数学知识,在高中数学中有着举足轻重的地位。高考中,导数题目难度较大,可以说与解析几何并为高中数学最难的两个知识。在选择题填空中,导数一般考查用积分求面积,用导数求切线方程、函数单调性、最值、相关参数等知识,其中难度最大的就是需要先构造函数再进一步求解的题目。下面我整理了几种常见常考的构造方法。 Derivatives are an important fundamental concept of calculus and are the only higher mathematics that have been selected for high school textbooks. They hold a pivotal position in high school mathematics. College entrance examination, the derivative problem is more difficult, can be said that with the analytic geometry and the two most difficult for high school mathematics knowledge. In the multiple choice of fill in the blank, the derivative of the general examination of the area with points, with the tangent to find the equation, the monotonic function, the most value, related parameters and other knowledge, of which the most difficult is the need to construct the function and then further solve the problem. Here I sorted out several common methods of construction often test.