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2019 AP Calculus AB: A Comprehensive Examination
Author: Dr. Evelyn Reed, PhD in Mathematics Education, former AP Calculus Reader for the College Board.
Keywords: 2019 AP Calculus AB, AP Calculus AB Exam, AP Calculus AB Score, 2019 AP Calculus AB Free Response, 2019 AP Calculus AB Multiple Choice, Calculus AB, AP Exam Review, College Board, AP Score Calculator
Introduction: The 2019 AP Calculus AB exam stands as a significant benchmark in the academic journey of countless high school students. This article provides a comprehensive overview of the 2019 AP Calculus AB exam, analyzing its structure, content, and significance in college admissions. We will delve into the specifics of the exam's format, the types of questions asked, and the overall performance of students that year. Understanding the 2019 exam provides valuable insight for students preparing for future AP Calculus AB exams.
Understanding the 2019 AP Calculus AB Exam Structure
The 2019 AP Calculus AB exam, like subsequent exams, consisted of two sections: a multiple-choice section and a free-response section. The multiple-choice section comprised 45 questions, with a time limit of 1 hour and 45 minutes. These questions tested a wide range of calculus concepts, requiring both procedural fluency and conceptual understanding. The free-response section, lasting 1 hour and 15 minutes, contained 6 questions, each demanding a detailed and well-justified solution. This section emphasized the ability to apply calculus principles to solve complex problems and effectively communicate mathematical reasoning. This structure remains largely consistent across subsequent years, highlighting the enduring importance of these assessment methods for 2019 AP Calculus AB and beyond.
Key Topics Covered in the 2019 AP Calculus AB Exam
The 2019 AP Calculus AB exam covered a broad spectrum of calculus topics. These included:
Limits and Continuity: Understanding limits, continuity, and their applications in evaluating function behavior. This formed a crucial foundation for many subsequent concepts within the 2019 AP Calculus AB exam.
Derivatives: Calculating derivatives using various techniques (power rule, product rule, quotient rule, chain rule), interpreting derivatives as rates of change, and applying derivatives to solve optimization and related rates problems. This was a heavily weighted section of the 2019 AP Calculus AB exam.
Applications of Derivatives: Using derivatives to analyze function behavior (increasing/decreasing intervals, concavity, extrema), sketching graphs, and solving applied problems involving optimization and related rates. Many challenging questions within the 2019 AP Calculus AB exam fell within this category.
Integrals: Evaluating definite and indefinite integrals using various techniques (power rule, substitution), interpreting integrals as areas, and applying integrals to solve accumulation problems. This was another crucial area in 2019 AP Calculus AB.
Applications of Integrals: Using integrals to find areas, volumes, and other accumulated quantities. The 2019 AP Calculus AB exam assessed the ability to apply these techniques to solve realistic problems.
Fundamental Theorem of Calculus: Understanding the relationship between derivatives and integrals, and applying this theorem to solve problems. This cornerstone theorem played a significant role in the 2019 AP Calculus AB exam.
Analyzing Student Performance on the 2019 AP Calculus AB Exam
While the College Board does not release the precise score distributions for individual exam years, publicly available data provides insights into the overall performance. Generally, the 2019 AP Calculus AB exam reflected similar trends to other years, with a range of scores reflecting varying levels of student preparedness and understanding. Access to past exam questions, like those from the 2019 AP Calculus AB exam, helps students understand the exam's rigor and adjust their preparation strategies accordingly.
The Significance of the 2019 AP Calculus AB Exam in College Admissions
The 2019 AP Calculus AB exam, like any AP exam, plays a crucial role in the college admissions process. A high score demonstrates proficiency in calculus, a subject highly valued by colleges and universities. It can potentially lead to college credit, advanced placement, or exemption from introductory calculus courses, allowing students to focus on more advanced coursework. This advantage can save students time and money during their college years, making the 2019 AP Calculus AB exam a significant milestone for many aspiring students.
Conclusion
The 2019 AP Calculus AB exam served as a critical assessment of students' calculus knowledge and skills. By understanding the exam's structure, content, and significance, students can better prepare for future AP Calculus AB exams and enhance their college applications. The ongoing relevance of the 2019 AP Calculus AB exam lies in its ability to provide a benchmark against which to measure the preparedness of future students and to continually improve the curriculum and assessment methods.
FAQs
1. What is the passing score for the 2019 AP Calculus AB exam? There's no official "passing" score; colleges set their own credit requirements. Generally, a 3 or higher is considered passing.
2. Where can I find the 2019 AP Calculus AB exam questions? Released questions are typically available on the College Board website, but not the complete exam.
3. How does the 2019 AP Calculus AB exam compare to the BC exam? The BC exam covers all AB topics plus additional advanced topics like sequences and series.
4. What resources are available to help me prepare for the AP Calculus AB exam? Textbooks, online resources (Khan Academy, etc.), practice exams, and tutoring are helpful resources.
5. Is a graphing calculator allowed on the 2019 AP Calculus AB exam? Yes, a graphing calculator is permitted and often essential for efficient problem-solving.
6. What topics are most heavily weighted on the AP Calculus AB exam? Derivatives and their applications are typically heavily weighted.
7. How can I improve my score on the free-response section? Practice showing your work clearly, justify your steps, and clearly communicate your reasoning.
8. What is the difference between the multiple-choice and free-response sections? Multiple-choice tests knowledge recall and application; free-response assesses problem-solving and communication skills.
9. What score should I aim for to get college credit? This varies by college. Check the specific credit policies of the colleges you are applying to.
Related Articles
1. AP Calculus AB Exam: A Complete Guide: This article provides an overview of the AP Calculus AB exam, covering its structure, content, and preparation strategies.
2. Strategies for Mastering AP Calculus AB Derivatives: This article focuses specifically on derivative techniques and applications, crucial for success on the AP Calculus AB exam.
3. Understanding the Fundamental Theorem of Calculus: This article delves into the fundamental theorem and its applications in problem-solving.
4. AP Calculus AB Exam Free Response Question Analysis: This article analyzes past free-response questions to provide insights into common question types and effective solution strategies.
5. How to Ace the AP Calculus AB Multiple Choice Section: This article focuses on strategies and techniques for efficiently answering multiple-choice questions.
6. AP Calculus AB: Tips and Tricks for Success: This article provides a collection of practical tips and strategies for maximizing performance on the AP Calculus AB exam.
7. Comparing AP Calculus AB and BC: Which Exam is Right for You?: This article helps students determine which AP Calculus exam best suits their skills and educational goals.
8. Common Mistakes to Avoid on the AP Calculus AB Exam: This article highlights common errors students make and offers advice on how to avoid them.
9. The Role of Graphing Calculators in AP Calculus AB: This article discusses the importance of graphing calculators in AP Calculus AB and provides guidance on their effective use during the exam.
Publisher: This article is intended for educational purposes and is not affiliated with the College Board.
Editor: Dr. John Miller, PhD in Mathematics, experienced AP Calculus teacher and curriculum developer.
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| 2019 ap calculus ab: Probability Rick Durrett, 2010-08-30 This classic introduction to probability theory for beginning graduate students covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results that are the most useful for applications. Its philosophy is that the best way to learn probability is to see it in action, so there are 200 examples and 450 problems. The fourth edition begins with a short chapter on measure theory to orient readers new to the subject. |
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| 2019 ap calculus ab: Calculus Ross L. Finney, 2012 The esteemed author team is back with a fourth edition of Calculus: Graphing, Numerical, Algebraic written specifically for high school students and aligned to the guidelines of the AP(R) Calculus exam. The new edition focuses on providing enhanced student and teacher support; for students, the authors added guidance on the appropriate use of graphing calculators and updated exercises to reflect current data. For teachers, the authors provide lesson plans, pacing guides, and point-of-need answers throughout the Teacher's Edition and teaching resources. Learn more. |
| 2019 ap calculus ab: Princeton Review AP Calculus AB Premium Prep 2021 The Princeton Review, 2020-08 The Premium edition of our popular annual study guide that provides all the info students need to succeed on the AP Calculus AB Exam--now with an additional test added for 7 full-length practice tests for maximum scoring success. AP Calculus AB Premium Prep, 2021, previously titled Cracking the AP Calculus AB Exam, Premium Edition, is dedicated to the calculus topics students need to cover to succeed on the AB test, including functions, graphs, limits, derivatives, and integrals. The exam covers the material taught in a full-year course, and this edition reflects all the topics covered by the exam, the curriculum structure, and the exam setup and question types. This Premium edition now includes 7 full-length practice tests (5 in the book and 2 online) for the most practice possible. |
| 2019 ap calculus ab: ACE AP Calculus BC Ritvik Rustagi, 2024-03-17 The ACE AP Calculus BC book, written by Ritvik Rustagi, contains over 190 pages and over 150 problems and covers all the important topics for the AP exam. There are detailed solutions for every problem. The goal of this book is to make reviewing for the AP exams efficient. Many students often struggle with balancing various AP exams and approaching these tough problems efficiently. However, that is when the book comes in. It contains all the necessary topics to assist people in their calculus journey. This book can also be used for a traditional Calculus 1 class. It is not just limited to the AP class. |
| 2019 ap calculus ab: AP® Calculus AB & BC Crash Course 3rd Ed., For the 2021 Exam, Book + Online J. Rosebush, Flavia Banu, 2021-02-22 For the 2021 Exam! AP® Calculus AB & BC Crash Course A Higher Score in Less Time! REA’s Crash Course quick-review study guide is the top choice for AP® students who want to make the most of their study time and earn a high score. Here’s why more AP® teachers and students turn to REA’s AP® Calculus Crash Course: Targeted, Focused Review – Study Only What You Need to Know. REA’s new 3rd edition addresses all the latest test revisions. We cover only the information tested on the exam, so you can make the most of your valuable study time. Expert Test-taking Strategies and Advice. Authored by a team of AP® Calculus teachers, the book gives you the tips and topics that matter most on exam day. Crash Course relies on the authors’ extensive analysis of the test’s structure and content. By following their advice, you can boost your score in every section of the test. Realistic Practice Questions – a Mini-Test in the Book, a Full-Length Exam Online. Are you ready for your exam? Try our focused practice set inside the book. Then take our full-length online practice exam (one each for Calculus AB & BC) to ensure you're ready for test day. If you're cramming for the exam or looking for a concise course review, Crash Course is the study guide every AP® student needs. About Our Authors Joan Marie Rosebush teaches calculus courses at the University of Vermont. Ms. Rosebush has taught mathematics to elementary, middle school, high school, and college students. She taught AP® Calculus via satellite television to high school students scattered throughout Vermont. Ms. Rosebush earned her B.A. degree in elementary education, with a concentration in mathematics, at the University of New York in Cortland, N.Y. She received her Master's Degree in education from Saint Michael's College, Colchester, Vermont. Flavia Banu graduated from Queens College of the City University of New York with a B.A. in Pure Mathematics and an M.A.in Pure Mathematics in 1997. Ms. Banu was an adjunct professor at Queens College where she taught Algebra and Calculus II. Currently, she teaches mathematics at Bayside High School in Bayside, New York, and coaches the math team for the school. Her favorite course to teach is AP Calculus because it requires “the most discipline, rigor and creativity.” About Our Revisions Editor Stu Schwartz has been teaching mathematics since 1973. For 35 years he taught in the Wissahickon School District, in Ambler, Pennsylvania, specializing in AP Calculus AB and BC and AP Statistics. Mr. Schwartz received his B.S. degree in Mathematics from Temple University, Philadelphia. Mr. Schwartz was a 2002 recipient of the Presidential Award for Excellence in Mathematics Teaching and also won the 2007 Outstanding Educator of the Year Award for the Wissahickon School District. Mr. Schwartz’s resource-rich website, www.mastermathmentor.com, is geared toward helping educators teach AP® Calculus, AP® Statistics, and other math courses. Mr. Schwartz is always looking for ways to provide teachers with new and innovative teaching materials, believing that it should be the goal of every math teacher not only to teach students mathematics, but also to find joy and beauty in math as well. |
| 2019 ap calculus ab: AP Calculus Premium, 2022-2023: 12 Practice Tests + Comprehensive Review + Online Practice David Bock, Dennis Donovan, Shirley O. Hockett, 2022-01-18 Be prepared for exam day with Barron’s. Trusted content from AP experts! Barron’s AP Calculus Premium: 2022-2023 includes in-depth content review and online practice for the AB and BC exams. It’s the only book you’ll need to be prepared for exam day. Written by Experienced Educators Learn from Barron’s--all content is written and reviewed by AP experts Build your understanding with comprehensive review tailored to the most recent exams Get a leg up with tips, strategies, and study advice for exam day--it’s like having a trusted tutor by your side Be Confident on Exam Day Sharpen your test-taking skills with 12 full-length practice tests--4 AB practice tests and 4 BC practice tests in the book, including a diagnostic AB test and a diagnostic BC test to target your studying--and 2 more AB practice tests and 2 more BC practice tests online Strengthen your knowledge with in-depth review covering all Units on the AP Calculus AB and BC Exams Reinforce your learning with multiple-choice practice questions at the end of each chapter Enhance your problem-solving skills with new and revised multiple-choice and free-response practice questions throughout the book, including a chapter filled with multiple-choice questions and a chapter devoted to free-response practice exercises Online Practice Continue your practice with 2 full-length AB practice tests and 2 full-length BC practice tests on Barron’s Online Learning Hub Simulate the exam experience with a timed test option Deepen your understanding with detailed answer explanations and expert advice Gain confidence with scoring to check your learning progress |
| 2019 ap calculus ab: ACE AP Calculus AB Ritvik Rustagi, 2024-03-17 The ACE AP Calculus AB book contains over 190 pages and over 150 problems and covers all the important topics for the AP exam. There are detailed solutions for every problem. The goal of this book is to make reviewing for the AP exams efficient. Many students often struggle with balancing various AP exams and approaching these tough problems efficiently. However, that is when the book comes in. It contains all the necessary topics to assist people in their calculus journey. This book can also be used for a traditional Calculus 1 class. It is not just limited to the AP class. |
| 2019 ap calculus ab: Quantities, Units and Symbols in Physical Chemistry International Union of Pure and Applied Chemistry. Physical and Biophysical Chemistry Division, 2007 Prepared by the IUPAC Physical Chemistry Division this definitive manual, now in its third edition, is designed to improve the exchange of scientific information among the readers in different disciplines and across different nations. This book has been systematically brought up to date and new sections added to reflect the increasing volume of scientific literature and terminology and expressions being used. The Third Edition reflects the experience of the contributors with the previous editions and the comments and feedback have been integrated into this essential resource. This edition has been compiled in machine-readable form and will be available online. |
| 2019 ap calculus ab: Tech with Heart Stacey Roshan, 2019-04-16 The fight to be first, the pressure to be right, and the stress surrounding test scores were just a few of the many reasons Stacey Roshan chose to flip her class. In Tech with Heart, she offers practical insights and instruction for using edtech tools to create greater connection with students, humanize modern learning, and help learners thrive. |
| 2019 ap calculus ab: Teaching Secondary and Middle School Mathematics Daniel J. Brahier, 2020-04-01 Teaching Secondary and Middle School Mathematics combines the latest developments in research, technology, and standards with a vibrant writing style to help teachers prepare for the excitement and challenges of teaching secondary and middle school mathematics. The book explores the mathematics teaching profession by examining the processes of planning, teaching, and assessing student progress through practical examples and recommendations. Beginning with an examination of what it means to teach and learn mathematics, the reader is led through the essential components of teaching, concluding with an examination of how teachers continue with professional development throughout their careers. Hundreds of citations are used to support the ideas presented in the text, and specific websites and other resources are presented for future study by the reader. Classroom scenarios are presented to engage the reader in thinking through specific challenges that are common in mathematics classrooms. The sixth edition has been updated and expanded with particular emphasis on the latest technology, resources, and standards. The reader is introduced to the ways that students think and how to best meet their needs through planning that involves attention to differentiation, as well as how to manage a classroom for success. Features include: The entire text has been reorganized so that assessment takes a more central role in planning and teaching. Unit 3 (of 5) now addresses the use of summative and formative assessments to inform classroom teaching practices. ● A new feature, Links and Resources, has been added to each of the 13 chapters. While the book includes a substantial listing of citations and resources after the chapters, five strongly recommended and practical resources are spotlighted at the end of each chapter as an easy reference to some of the most important materials on the topic. ● Approximately 150 new citations have either replaced or been added to the text to reflect the latest in research, materials, and resources that support the teaching of mathematics. ● A Quick Reference Guide has been added to the front of the book to assist the reader in identifying the most useful chapter features by topic. ● A significant revision to Chapter 13 now includes discussions of common teaching assessments used for field experiences and licensure, as well as a discussion of practical suggestions for success in methods and student teaching experiences. ● Chapter 9 on the practical use of classroom technology has been revised to reflect the latest tools available to classroom teachers, including apps that can be run on handheld, personal devices. An updated Instructor’s Manual features a test bank, sample classroom activities, Powerpoint slides, chapter summaries, and learning outcomes for each chapter, and can be accessed by instructors online at www.routledge.com/9780367146511 |
| 2019 ap calculus ab: AP Calculus AB Richard N. S. Seong, 2022 |
| 2019 ap calculus ab: The Hyperdoc Handbook: Digital Lesson Design Using Google Apps Lisa Highfill, Kelly Hilton, Sarah Landis, 2019-08-25 Want to redefine learning? Looking to better utilize devices? Eager to maximize face time in the classroom? HyperDocs are the solution to personalized instruction using technology in today's modern classroom. They provide innovative ways to engage students and package digital lessons on a Google Doc. The HyperDoc Handbook is a practical reference guide for all K-12 educators looking to transform their teaching into blended learning environments. This book strikes a perfect balance between pedagogy and how-to tips, while also providing several lesson plans to get you going. After reading this handbook, educators will feel equipped to design their own HyperDocs using both Google Apps and the myriad of web tools available online. Let this book become your guide to: Explore the pedagogy behind digital lesson designFollow step-by-step directions on how to create a HyperDocReflect and revise digital lessons using a checklist to hack your own HyperDocsSelect tech tools best suited for lessonsConnect and share with other educatorsCopy and customize sample HyperDocs to use in your own classroomHyperDocs will improve collaboration and instruction between all education stakeholders, including: students, teachers, administrators, instructional coaches, professional developers, and families. After reading The HyperDoc Handbook you will be inspired to create and share! |
| 2019 ap calculus ab: 5 Steps to a 5: 500 AP US History Questions to Know by Test Day, Third Edition Scott Demeter, 2019-02-21 500 AP style questions with detailed answer explanations to prepare you for what you’ll see on test day 5 Steps to a 5: 500 AP U.S. History Questions to Know by Test Day gives you 500 practice questions that cover the most essential course material and help you work toward a 5 on the test. The questions parallel the format and degree of difficulty that you’ll find on the actual AP exams and are accompanied by answers with comprehensive explanations. The questions in this book were written by expert AP teachers who know the exam inside and out, so they closely reflect what you’ll see when you’ll sit for the AP U.S. History test.This valuable study guide features:•500 AP-style questions and answers referenced to core AP materials•Detailed review explanations for right and wrong answers•Close simulations of the real AP exam•Updated material that reflects the latest AP exam |
| 2019 ap calculus ab: Cracking the Advanced Placement Calculus AB Exam David S. Kahn, Princeton Review, 2017 Everything students need to know to succeed on the AP Calculus AB Exam. |
ipad所有型号一览表,iPad全系列详细介绍，一次搞懂所有iPad
Oct 20, 2024 · 2019 年：iPad Mini（第 5 代）——在大幅中断后进行更新，配备 Apple A12 Bionic 芯片、支持第一代 Apple Pencil 以及增强的显示技术。 2021 年 ：iPad Mini（第六代）—— …
如何查询自己往年高考成绩？ - 知乎
知乎，中文互联网高质量的问答社区和创作者聚集的原创内容平台，于 2011 年 1 月正式上线，以「让人们更好的分享知识、经验和见解，找到自己的解答」为品牌使命。知乎凭借认真、专业 …
哪个版本的CAD比较好？ - 知乎
Oct 10, 2023 · 有几个结点： 纯平面，cad2004 2007 2012都好，甚至cad2000都很舒服。 平面+简单3d, cad2012-2014(win7，否3d功能有故障)。
2024了，Adobe系列求推荐好用的版本？ - 知乎
Adobe Acorbat 2018和2019官方仍提供离线安装包和更新包，2018的安装包最高版本为18.011.20055，更新包最高版本为18.011.20063；2019的安装包最高版本为19.021.20058，更 …
Visual Studio 和 VSCode 哪个好？ - 知乎
在 Windows 下进行 Linux 开发。编程语言是 C++。大佬能分析下用 Visual Studio 和 VSCode 各自的优缺点…
国内新冠肺炎疫情可以分为哪几个阶段？ - 知乎
抗击新冠疫情从2019年底或2020年初开始，已走过了2年零4个月。 在这28个月的时间里，我们经历了哪四个阶段呢？ 4月29日上午，国家卫生健康委副主任李斌在国新办发布会上梳理了我国 …
visual studio用哪个版本比较好？ - 知乎
2019一旦内存占用超过一定数量，再打开新的cpp文件就肉眼可见的卡顿。 所以说如果可以的话，工程文件一定放到 pcie 4.0 版本的m2盘上面。 还有 pdb文件 ，每次编译都几百上千m，一 …
有已激活的Word、Excel、PowerPoint，如何接着安装Visio …
电脑的office是2016，我下载一个2019的visio，是不是office2016就不能用了。 2 个回答 笔记本用word、PPT、excel、visio等基本办公软件时很卡，怎么办？
不动产权证书编号看哪里？ - 知乎
证书编号在第一页的顶上，一般为“x（20xx）xx市 不动产权第xxxxxx号”。 注意证书编号不是不动产单元号。
求问clion和vs那个好用? - 知乎
VS只用过2019 Community，所以只能说在社区版上的体验了。 编辑器角度，已安装VA X（Visual Assist X）扩展，其代码提示仍然比不过Clion，可以说有点蠢（不会根据频率自动调整补全提示 …
ipad所有型号一览表,iPad全系列详细介绍，一次搞懂所有iPad
Oct 20, 2024 · 2019 年：iPad Mini（第 5 代）——在大幅中断后进行更新，配备 Apple A12 Bionic 芯片、支持第一代 Apple Pencil 以及增强的显示技术。 2021 年 ：iPad Mini（第六代）——重 …
如何查询自己往年高考成绩？ - 知乎
知乎，中文互联网高质量的问答社区和创作者聚集的原创内容平台，于 2011 年 1 月正式上线，以「让人们更好的分享知识、经验和见解，找到自己的解答」为品牌使命。知乎凭借认真、专业 …
哪个版本的CAD比较好？ - 知乎
Oct 10, 2023 · 有几个结点： 纯平面，cad2004 2007 2012都好，甚至cad2000都很舒服。 平面+简单3d, cad2012-2014(win7，否3d功能有故障)。
2024了，Adobe系列求推荐好用的版本？ - 知乎
Adobe Acorbat 2018和2019官方仍提供离线安装包和更新包，2018的安装包最高版本为18.011.20055，更新包最高版本为18.011.20063；2019的安装包最高版本为19.021.20058，更 …
Visual Studio 和 VSCode 哪个好？ - 知乎
在 Windows 下进行 Linux 开发。编程语言是 C++。大佬能分析下用 Visual Studio 和 VSCode 各自的优缺点…
国内新冠肺炎疫情可以分为哪几个阶段？ - 知乎
抗击新冠疫情从2019年底或2020年初开始，已走过了2年零4个月。 在这28个月的时间里，我们经历了哪四个阶段呢？ 4月29日上午，国家卫生健康委副主任李斌在国新办发布会上梳理了我国 …
visual studio用哪个版本比较好？ - 知乎
2019一旦内存占用超过一定数量，再打开新的cpp文件就肉眼可见的卡顿。 所以说如果可以的话，工程文件一定放到 pcie 4.0 版本的m2盘上面。 还有 pdb文件 ，每次编译都几百上千m，一 …
有已激活的Word、Excel、PowerPoint，如何接着安装Visio …
电脑的office是2016，我下载一个2019的visio，是不是office2016就不能用了。 2 个回答 笔记本用word、PPT、excel、visio等基本办公软件时很卡，怎么办？
不动产权证书编号看哪里？ - 知乎
证书编号在第一页的顶上，一般为“x（20xx）xx市 不动产权第xxxxxx号”。 注意证书编号不是不动产单元号。
求问clion和vs那个好用? - 知乎
VS只用过2019 Community，所以只能说在社区版上的体验了。 编辑器角度，已安装VA X（Visual Assist X）扩展，其代码提示仍然比不过Clion，可以说有点蠢（不会根据频率自动调整补全提示 …
