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50 AMC Lectures Problems Book 1

(This book contains over 500 problems (with detailed solutions) accompanying the lectures 1 to 25 of our 50 AMC Lectures Books).


Table of contents (click for the pdf file)

Chapter 1 Algebra Manipulations                                                                    1

Chapter 2 Radicals                                                                                           7

Chapter 3 Solving Radical Equations                                                               26

Chapter 4 Absolute Values                                                                              36

Chapter 5 Solving Absolute Value Equations                                                  48

Chapter 6 Vieta Theorem and Applications                                                     53

Chapter 7 Square Numbers                                                                              62

Chapter 8 Divisibility                                                                                       70

Chapter 9 Geometry Congruent Triangles                                                        83

Chapter 10 Geometry Area and Area Method                                                  95

Chapter 11 Geometry Eight Methods To Draw Auxiliary Lines                    109

Chapter 12 Trigonometry Six Functions                                                        122

Chapter 13 Cubic Identities                                                                             133

Chapter 14 Arithmetic Sequence                                                                     139

Chapter 15 How to Use the Discriminant                                                         155

Chapter 16 Completing the Square                                                                  162

Chapter 17 Analytic Geometry Distance and Lines                                         170

Chapter 18 Functional Equations                                                                     177

Chapter 19 Squeezing Method                                                                         185

Chapter 20 Nonnegative Numbers                                                                   191

Chapter 21 Geometry Similar Triangles                                                          198

Chapter 22 Geometry Angle Bisector And Median                                          210

Chapter 23 Geometry Eight More Methods To Draw Auxiliary Lines              223

Chapter 24 Trigonometry Identities                                                                 231

Chapter 25 AM-GM Inequality                                                                       238

Index                                                                                                               249


 
 




 
 

     
 
 
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