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所在平台: Udemy |
课程主页: https://www.udemy.com/course/geometry-made-simple/
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《几何简化！》是Coursera上的一门几何学课程，旨在以最简单、最直接、最实用、最清晰的方式帮助学习者掌握几何知识。课程分为11个章节，共计66个视频课程。 **核心内容概览：** * **基础几何：** 涵盖点、线、面、线段、角、多边形分类、周长、面积等基本概念。 * **平行与垂直线：** 深入探讨平行线、垂直线及其相关的角度关系和定理证明。 * **全等三角形：** 重点讲解三角形全等的判定方法（SSS, SAS, ASA, AAS, HL）以及等腰三角形、等边三角形的应用。 * **三角形内的关系：** 介绍中位线定理、垂直平分线、角平分线、中线、高线，以及三角形中的不等式。 * **相似形：** 学习比例、相似多边形、相似三角形的判定方法（AA, SSS, SAS）以及比例定理。 * **直角三角形与三角学：** 讲解勾股定理、勾股定理的逆定理、相似直角三角形、特殊直角三角形以及正弦、余弦、正切等三角函数。 * **四边形：** 深入研究多边形内角、平行四边形、菱形、矩形、正方形、梯形、风筝的性质及其判定。 * **变换性质：** 涵盖平移、反射、滑移反射和对称等几何变换。 * **圆的性质：** 学习切线性质、弧度、弦的性质、圆内接角、圆内角、圆外角以及圆的弦长、切线长关系。 * **测量长度与面积：** 计算各种图形（三角形、平行四边形、梯形、菱形、风筝、圆、扇形、正多边形）的周长和面积，并涉及几何概率。 * **立体图形的表面积与体积：** 讲解柱体、锥体、球体的表面积和体积。 该课程通过清晰的讲解和分步的数学问题解决方案，帮助学习者熟练掌握几何知识，为后续学习三角学和微积分等更具挑战性的数学课程打下坚实基础。
Geometry Made Simple!To maximize your learnings is to know the easiest way. Go at your own pace. Straight to the point, practical, short, and crystal clear teaching style. There are a total of 11 sections and 66 video lessons. Each lesson has concepts and step by step solutions to several math problems. Here is the Geometry Made Simple! curriculum:S01- Basics of GeometryS01 L01- Points, Lines, and PlanesS01 L02- Segments and CongruenceS01 L03- Midpoint and Distance FormulasS01 L04- Measure and Classify AnglesS01 L05- Angle Pair RelationshipsS01 L06- Classify PolygonsS01 L07- Perimeter, Circumference, and AreaS02- Parallel and Perpendicular LinesS02 L01- Identify Pairs of Lines and AnglesS02 L02- Use Parallel Lines and TransversalsS02 L03- Prove Lines are ParallelS02 L04- Prove Theorems About Perpendicular LinesS03- Congruent TrianglesS03 L01- Apply Triangle Sum PropertiesS03 L02- Apply Congruence and TrianglesS03 L03- Prove Triangles Congruent by SSSS03 L04- Prove Triangles Congruent by SAS and HLS03 L05- Prove Triangles Congruent by ASA and AASS03 L06- Use Isosceles and Equilateral TrianglesS03 L07- Perform Congruence TransformationsS04- Relationships within TrianglesS04 L01- Midsegment Theorem and Coordinate ProofS04 L02- Perpendicular BisectorsS04 L03- Angle Bisectors of TrianglesS04 L04- Medians and AltitudesS04 L05- Inequalities in a TriangleS05- SimilarityS05 L01- Ratios, Proportions, and the Geometric MeanS05 L02- Use Proportions to Solve Geometry ProblemsS05 L03- Use Similar PolygonsS05 L04- Prove Triangles Similar by AAS05 L05- Prove Triangles Similar by SSS and SASS05 L06- Use Proportionality TheoremsS05 L07- Perform Similarity TransformationsS06- Right Triangles and TrigonometryS06 L01- Pythagorean TheoremS06 L02- Converse of the Pythagorean TheoremS06 L03- Similar Right TrianglesS06 L04- Special Right TrianglesS06 L05- Sine, Cosine, and Tangent RatiosS06 L06- Solve Right TrianglesS07- QuadrilateralsS07 L01- Find Angle Measures in PolygonsS07 L02- Properties of ParallelogramsS07 L03- Show that a Quadrilateral is a ParallelogramS07 L04- Properties of Rhombuses, Rectangles, and SquaresS07 L05- Properties of Trapezoids and KitesS07 L06- Identify Special QuadrilateralsS08- Properties of TransformationsS08 L01- Translate Figures and Use VectorsS08 L02- Perform ReflectionsS08 L03- Apply Glide ReflectionsS08 L04- Identify SymmetryS09- Properties of CirclesS09 L01- Properties of TangentsS09 L02- Arc MeasuresS09 L03- Properties of ChordsS09 L04- Inscribed Angles and PolygonsS09 L05- Apply Other Angle Relationships in CirclesS09 L06- Segment Lengths in CirclesS10- Measuring Length and AreaS10 L01- Areas of Triangles and ParallelogramsS10 L02- Areas of Trapezoids, Rhombuses, and KitesS10 L03- Perimeter and Area of Similar FiguresS10 L04- Circumference and Arc LengthS10 L05- Area of Circles and SectorsS10 L06- Areas of Regular PolygonsS10 L07- Geometric ProbabilityS11- Surface Area and Volume of SolidsS11 L01- Explore SolidsS11 L02- Surface Area of Prisms and CylindersS11 L03- Surface Area of Pyramids and ConesS11 L04- Volume of Prisms and CylindersS11 L05- Volume of Pyramids and ConesS11 L06- Surface Area and Volume of SpheresS11 L07- Explore Similar SolidsThe course will help you become an expert in Geometry and prepare you for more challenging math courses such as Trigonometry and Calculus.Please enroll today!
