9成考专升本数学复习资料.pdf

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1、1/18 第一讲函数、连续与极限一、理论要求1.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 微积分性质，数列与级数的性质）2/18 文档编码:C

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5、:CK4P8V7T3K5 HE7K7E6B2Z6 ZX2M3G8M7C10文档编码:CK4P8V7T3K5 HE7K7E6B2Z6 ZX2M3G8M7C10文档编码:CK4P8V7T3K5 HE7K7E6B2Z6 ZX2M3G8M7C10文档编码:CK4P8V7T3K5 HE7K7E6B2Z6 ZX2M3G8M7C10文档编码:CK4P8V7T3K5 HE7K7E6B2Z6 ZX2M3G8M7C10文档编码:CK4P8V7T3K5 HE7K7E6B2Z6 ZX2M3G8M7C10文档编码:CK4P8V7T3K5 HE7K7E6B2Z6 ZX2M3G8M7C10文档编码:CK4P8V7T3K5

6、HE7K7E6B2Z6 ZX2M3G8M7C10文档编码:CK4P8V7T3K5 HE7K7E6B2Z6 ZX2M3G8M7C10文档编码:CK4P8V7T3K5 HE7K7E6B2Z6 ZX2M3G8M7C10文档编码:CK4P8V7T3K5 HE7K7E6B2Z6 ZX2M3G8M7C10文档编码:CK4P8V7T3K5 HE7K7E6B2Z6 ZX2M3G8M7C10文档编码:CK4P8V7T3K5 HE7K7E6B2Z6 ZX2M3G8M7C10文档编码:CK4P8V7T3K5 HE7K7E6B2Z6 ZX2M3G8M7C10文档编码:CK4P8V7T3K5 HE7K7E6B2Z6 Z

7、X2M3G8M7C10文档编码:CK4P8V7T3K5 HE7K7E6B2Z6 ZX2M3G8M7C10文档编码:CK4P8V7T3K5 HE7K7E6B2Z6 ZX2M3G8M7C10文档编码:CK4P8V7T3K5 HE7K7E6B2Z6 ZX2M3G8M7C10文档编码:CK4P8V7T3K5 HE7K7E6B2Z6 ZX2M3G8M7C10文档编码:CK4P8V7T3K5 HE7K7E6B2Z6 ZX2M3G8M7C10文档编码:CK4P8V7T3K5 HE7K7E6B2Z6 ZX2M3G8M7C10文档编码:CK4P8V7T3K5 HE7K7E6B2Z6 ZX2M3G8M7C10文档

8、编码:CK4P8V7T3K5 HE7K7E6B2Z6 ZX2M3G8M7C10文档编码:CK4P8V7T3K5 HE7K7E6B2Z6 ZX2M3G8M7C10文档编码:CK4P8V7T3K5 HE7K7E6B2Z6 ZX2M3G8M7C10文档编码:CK4P8V7T3K5 HE7K7E6B2Z6 ZX2M3G8M7C103/18 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

9、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:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2

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11、:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8

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15、0 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S24/18 文档编码:CW5Q8X9D7X7 HH2J1M6R1J10

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20、9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7

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27、W5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9

28、D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 H

29、H2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S26/18 文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH

30、2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R

31、1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 Z

32、I10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D

33、1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文

34、档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW

35、5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D

36、7X7 HH2J1M6R1J10 ZI10G8D1K2S27/18 第三讲不定积分与定积分一、理论要求1.不定积分掌握不定积分的概念、性质线性、与微分的关系）会求不定积分 基本公式、线性、凑微分、换元技巧、分部）2.定积分理解定积分的概念与性质理解变上限定积分是其上限的函数及其导数求法会求定积分、广义积分会用定积分求几何问题长、面、体）会用定积分求物理问题功、引力、压力）及函数平均值二、题型与解法文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7

37、 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1

38、M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J1

39、0 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10

40、G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2

41、S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码

42、:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8

43、X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S28/18 文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X

44、9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7

45、HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M

46、6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10

47、 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G

48、8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S

49、2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S2文档编码:

50、CW5Q8X9D7X7 HH2J1M6R1J10 ZI10G8D1K2S29/18 第四讲向量代数、多元函数微分与空间解读几何一、理论要求1.向量代数理解向量的概念 单位向量、方向余弦、模）了解两个向量平行、垂直的条件向量计算的几何意义与坐标表示2.多元函数微分理解二元函数的几何意义、连续、极限概念，闭域性质理解偏导数、全微分概念能熟练求偏导数、全微分熟练掌握复合函数与隐函数求导法3.多元微分应用理解多元函数极值的求法，会用Lagrange 乘数法求极值4.空间解读几何掌握曲线的切线与法平面、曲面的切平面与法线的求法会求平面、直线方程与点线距离、点面距离二、题型与解法第五讲多元函数的积分文档编