Geometry For Dummies, 2Nd Edition(ISBN=9780470089460) 下载 pdf 百度网盘 epub 免费 2025 电子书 mobi 在线

　　Geometry proofs may trip up more students than any other

single topic in all of high school math. Geometry For Dummies, 2nd

Edition, tackles this problem head on, providing proven strategies

for solving geometry proofs when students are stumped.

Students need help getting a handle on what seems to them to be a

totally foreign and mysterious process. This book presents a dozen

powerful strategies that make proofs much easier for the students

who struggle with them. This book contains dozens of examples of

places in a proof where a student is likely to get stuck and then

provides tips for how to get unstuck.

Mark Ryan has a proven ability to explain concepts in a way that

gives students the clearest, easiest, and best way of understanding

a concept. For example, instead of routinely listing the properties

of various quadrilaterals (four-sided figures) as most geometry

books do, relying on rote memory for student learning, Geometry For

Dummies, 2nd Edition, explains how these properties (and others)

can be learned in a way that fosters understanding.

This new edition also includes detailed explanations of how to

work example problems, pinpointing areas that can trick students

into misunderstanding the true nature of the problem.

Introduction.

Part I: Getting Started with Geometry Basics.

　Chapter 1: Introducing Geometry.

　Chapter 2: Building Your Geometric Foundation.

　Chapter 3: Sizing Up Segments and Analyzing Angles.

Part II: Introducing Proofs.

　Chapter 4: Prelude to Proofs.

　Chapter 5: Your Starter Kit of Easy Theorems and Short

Proofs.

　Chapter 6: The Ultimate Guide to Tackling a Longer Proof.

Part III: Triangles: Polygons of the Three-Sided Variety.

　Chapter 7: Grasping Triangle Fundamentals.

　Chapter 8: Regarding Right Triangles.

　Chapter 9: Completing Congruent Triangle Proofs.

Part IV: Polygons of the Four-or-More Sided Variety.

　Chapter 10: The Seven Wonders of the Quadrilateral World.

　Chapter 11: Proving That You’ve Got a Particular

Quadrilateral.

　Chapter 12: Polygon Formulas: Area, Angles, and Diagonals.

　Chapter 13: Similarity: Same Shape, Different Size.

Part V: Working with Not-So-Vicious Circles.

　Chapter 14: Coming Around to Circle Basics.

　Chapter 15: Circle Formulas and Theorems.

Part VI: Going Deep with 3-D Geometry.

　Chapter 16: 3-D Space: Proofs in a Higher Plane of

Existence.

　Chapter 17: Getting a Grip on Solid Geometry.

Part VII: Placement, Points, and Pictures: Alternative Geometry

Topics.

　Chapter 18: Coordinate Geometry.

　Chapter 19: Changing the Scene with Geometric

Transformations.

　Chapter 20: Locating Loci and Constructing Constructions.

Part VIII: The Part of Tens.

　Chapter 21: Ten Things to Use as Reasons in Geometry Proofs.

　Chapter 22: Ten Cool Geometry Problems.

Part IX: Appendixes.

Appendix A: Formulas and Other Important Stuff You Should

Know.

Appendix B: Glossary.

Index.

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Learning geometry doesn’t have to hurt. With a little bit of friendly guidance, it can even be fun! Geometry For Dummies, 2 nd Edition, helps you make friends with lines, angles, theorems and postulates. It eases you into all the principles and formulas you need to analyze two- and three-dimensional shapes, and it gives you the skills and strategies you need to write geometry proofs. Before you know it, you’ll be devouring proofs with relish. You’ll find out how a proof’s chain of logic works and discover some basic secrets for getting past rough spots. Soon, you’ll be proving triangles congruent, calculating circumferences, using formulas, and serving up pi. The non-proof parts of the book contain helpful formulas and tips that you can use anytime you need to shape up your knowledge of shapes. You’ll even get a feel for why geometry continues to draw people to careers in art, engineering, carpentry, robotics, physics, and computer animation, among others.You’ll discover how to: Identify lines, angles, and planes Measure segments and angles Calculate the area of a triangle Use tips and strategies to make proofs easier Figure the volume and surface area of a pyramid Bisect angles and construct perpendicular lines Work with 3-D shapes Work with figures in the x-y coordinate system So quit scratching your head. Geometry For Dummies, 2 nd Edition, gets you un-stumped in a hurry.