2022年成人高考专升本《数学》考点知识总结 .pdf
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1、2011 年成人高考专升本数学考点知识总结第一讲函数、连续与极限一、理论要求函数概念与性质函数的基本性质(单调、有界、奇偶、周期)几类常见函数(复合、分段、反、隐、初等函数)2.极限极限存在性与左右极限之间的关系夹逼定理和单调有界定理会用等价无穷小和罗必达法则求极限3.连续函数连续(左、右连续)与间断理解并会应用闭区间上连续函数的性质(最值、有界、介值)二、题型与解法A.极限的求法(1)用定义求(2)代入法(对连续函数,可用因式分解或有理化消除零因子)(3)变量替换法(4)两个重要极限法(5)用夹逼定理和单调有界定理求(6)等价无穷小量替换法(7)洛必达法则与Taylor 级数法(8)其他(微
2、积分性质,数列与级数的性质)文档编码:CS4I9X3T5V9 HL6P10U9I7G3 ZX4H1T8X10T1文档编码:CS4I9X3T5V9 HL6P10U9I7G3 ZX4H1T8X10T1文档编码:CS4I9X3T5V9 HL6P10U9I7G3 ZX4H1T8X10T1文档编码:CS4I9X3T5V9 HL6P10U9I7G3 ZX4H1T8X10T1文档编码:CS4I9X3T5V9 HL6P10U9I7G3 ZX4H1T8X10T1文档编码:CS4I9X3T5V9 HL6P10U9I7G3 ZX4H1T8X10T1文档编码:CS4I9X3T5V9 HL6P10U9I7G3 ZX4H
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5、:CS4I9X3T5V9 HL6P10U9I7G3 ZX4H1T8X10T1文档编码:CS4I9X3T5V9 HL6P10U9I7G3 ZX4H1T8X10T1文档编码:CS4I9X3T5V9 HL6P10U9I7G3 ZX4H1T8X10T1文档编码:CS4I9X3T5V9 HL6P10U9I7G3 ZX4H1T8X10T1文档编码:CS4I9X3T5V9 HL6P10U9I7G3 ZX4H1T8X10T1文档编码:CS4I9X3T5V9 HL6P10U9I7G3 ZX4H1T8X10T1文档编码:CS4I9X3T5V9 HL6P10U9I7G3 ZX4H1T8X10T1文档编码:CS4I9
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7、 HL6P10U9I7G3 ZX4H1T8X10T1文档编码:CS4I9X3T5V9 HL6P10U9I7G3 ZX4H1T8X10T1文档编码:CS4I9X3T5V9 HL6P10U9I7G3 ZX4H1T8X10T1文档编码:CS4I9X3T5V9 HL6P10U9I7G3 ZX4H1T8X10T1文档编码:CS4I9X3T5V9 HL6P10U9I7G3 ZX4H1T8X10T1文档编码:CS4I9X3T5V9 HL6P10U9I7G3 ZX4H1T8X10T1文档编码:CS4I9X3T5V9 HL6P10U9I7G3 ZX4H1T8X10T1文档编码:CS4I9X3T5V9 HL6P1
8、0U9I7G3 ZX4H1T8X10T1文档编码:CS4I9X3T5V9 HL6P10U9I7G3 ZX4H1T8X10T1文档编码:CS4I9X3T5V9 HL6P10U9I7G3 ZX4H1T8X10T1文档编码:CS4I9X3T5V9 HL6P10U9I7G3 ZX4H1T8X10T1文档编码:CS4I9X3T5V9 HL6P10U9I7G3 ZX4H1T8X10T1文档编码:CS4I9X3T5V9 HL6P10U9I7G3 ZX4H1T8X10T1第二讲导数、微分及其应用一、理论要求1.导数与微分导数与微分的概念、几何意义、物理意义会求导(基本公式、四则、复合、高阶、隐、反、参数方程求
9、导)会求平面曲线的切线与法线方程2.微分中值定理理解 Roll、Lagrange、Cauchy、Taylor定理会用定理证明相关问题3.应用会用导数求单调性与极最值、凹凸性、渐进线问题,能画简图会计算曲率(半径)二、题型与解法文档编码:CL1L8W10I8Z8 HY8F5J3J1I4 ZY2W7L3X9M2文档编码:CL1L8W10I8Z8 HY8F5J3J1I4 ZY2W7L3X9M2文档编码:CL1L8W10I8Z8 HY8F5J3J1I4 ZY2W7L3X9M2文档编码:CL1L8W10I8Z8 HY8F5J3J1I4 ZY2W7L3X9M2文档编码:CL1L8W10I8Z8 HY8F5
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