| ABSTRACT IN CHINESE | 第1-9页 |
| ABSTRACT IN ENGLISH | 第9-11页 |
| ACKNOWLEDGEMENTS | 第11-12页 |
| Preface | 第12-14页 |
| Ⅰ Helly Type Problems and Geometric Transversals | 第14-60页 |
| 1 Introduction | 第16-18页 |
| 2 Point Transversal to Translates of a Convex Set in the Plane | 第18-38页 |
| ·Introduction | 第18-20页 |
| ·Point Transversal to Translates of a Parallelogram | 第20-21页 |
| ·Point Transversal to Translates of a Trapezoid | 第21-27页 |
| ·Point Transversal to Translates of a Convex Quadrilateral in the Plane | 第27-38页 |
| 3 Line Transversal to Unit Disks in the Plane | 第38-50页 |
| ·Introduction | 第38-42页 |
| ·The Proof of the Main Theorem | 第42-50页 |
| 4 Hyperplane Transversal to Translates of a Convex Set in R~d | 第50-60页 |
| ·Introduction | 第50-52页 |
| ·The Helly Number for Pairwise Disjoint Translates of a Unit Square in the Plane | 第52-54页 |
| ·The Helly Number for 1-separated Unit Cubes in R~3 | 第54-57页 |
| ·The Helly Number for (d-2)-separated Unit Cubes in R~d | 第57-60页 |
| Ⅱ Fitting and Covering | 第60-112页 |
| 5 Introduction | 第62-64页 |
| 6 Fitting Problems | 第64-90页 |
| ·Introduction | 第64-68页 |
| ·Triangles in Squares | 第68-77页 |
| ·Triangles in Rectangles 64 | 第77-90页 |
| 7 Covering Problems | 第90-112页 |
| ·Introduction | 第90-93页 |
| ·Boxes for Triangles of Diameter One | 第93-99页 |
| ·The Smallest Triangular Cover for Triangles of Diameter One | 第99-112页 |
| Bibliography | 第112-120页 |
