一、 问答题(3 小题,共 19.0 分) (7 分)[1]以车削 45 钢为例，试分析切削用量三要素 V、f、 p对刀具耐用度 T 的不同影响。 (6 分)[2]加工下述零件，以 B 面定位，加工表面 A，保证尺寸 10＋0.2mm，试画出尺寸链并求出工序尺寸 L 及公差

一、 问答题(3 小题,共 20.0 分) (6 分)[1]金属切削过程中，工件已加工表面产生积屑瘤的生成机理是什么？ (8 分)[2]加工下述零件，以 B 面定位，加工表面 A，保证尺寸 10＋0.2mm，试画出尺寸链并求出工序尺寸 L 及公差

一、填空题(本大题共6小题,每小题4分,总计24分) 1. f()=e\cost L[f()]= 2.=+4将乙平面上|<2变为w平面上的 学号 3.f()=ze()在何处可导 4.i= 5.F()=n(o)则f(t)= 6.f(=)=u+iv为解析函数,u-v=x3+3x2y-xy2-y3为解析函数,则v=

1 Preliminary 11 Introduction 12 Cardinality 13 Topology of the Euclidean space 14 Metric space and Baire Category theorem 15 Continuous functions and Distance in metric space 151 Hausdorff distance and Gromov-Hausdorff distance 152 Invariant of domain 2 Lebesgue measure 21 Exterior measure 22 Measure 23 Borel sets and Measurable sets 24 Linear transformation of measurable sets 25 Sets of positive measure 3 Measurable functions 31 Measurable functions 32 Simple functions 33 Littlewood’s Three principles 4 Lebesgue’s integration theory 41 Integration 42 Interchanging limits with integrals 43 Lebesgue vs Riemann 44 Fubini’s Theorem 5 Differentiation 51 Monotone functions 52 Fundamental theorem of Calculus I 521 A detour: Bounded variation functions 53 Fundamental theorem of Calculus II 54 Lebesgue Differentiation Theorem 6 Function spaces 61 L P spaces 611 Normed vector space 612 A detour: Convexity and Jensen’s inequality 613 Completeness: Banach space 614 Separability 62 Hilbert space:

定义设a=xn