AP Calculus Exam Calculator Policy and Operation Guide | AP 微积分考试计算器使用规范与操作指南

📚 AP Calculus Exam Calculator Policy and Operation Guide | AP 微积分考试计算器使用规范与操作指南

The AP Calculus exam allows calculator use on specific sections, making proficiency with your graphing calculator an essential skill for maximizing your score. Understanding which calculator models are permitted, how to set up your device, and which operations to perform efficiently can save you valuable time and reduce errors. This guide covers all official policies and provides practical techniques for the TI-84 Plus family and other approved calculators.

AP 微积分考试允许在特定部分使用计算器，因此熟练使用图形计算器是提升分数的关键技能。了解允许的计算器型号、正确设置设备以及高效执行运算，可以为你节省宝贵时间并减少失误。本指南涵盖所有官方政策，并提供适用于 TI-84 Plus 系列及其他批准型号的实用技巧。

1. Exam Structure and Calculator Sections | 考试结构与计算器允许部分

The AP Calculus AB and BC exams are divided into multiple sections, but calculator use is only permitted in two parts: Section I Part B (multiple-choice with calculator, 15 questions for AB, 18 for BC) and Section II Part A (free-response with calculator, 2 questions for both AB and BC). The other sections—Section I Part A and Section II Part B—prohibit calculators entirely.

AP 微积分 AB 与 BC 考试分为多个部分，但仅两个部分允许使用计算器：第一部分 B 部分（允许使用计算器的选择题，AB 15 题，BC 18 题）和第二部分 A 部分（允许使用计算器的自由回答题，AB 与 BC 均为 2 题）。其余部分——第一部分 A 部分和第二部分 B 部分——完全禁止使用计算器。

It is crucial to know when you can rely on the calculator and when you must work by hand, so you do not waste time trying to use it in prohibited sections. During the no-calculator sections, all work must be shown analytically, and using a calculator is a violation of exam rules.

清楚何时可以借助计算器、何时必须手动计算至关重要，以免在禁止使用计算器的部分浪费时间去使用它。在非计算器部分，所有过程都必须通过分析推导展示，使用计算器将违反考试规则。

2. Approved Calculator Models | 允许使用的计算器型号

College Board permits most graphing calculators, including popular models like the TI-84 Plus family, TI-Nspire (both non-CAS and CAS versions), TI-89, HP Prime, and Casio fx-CG series. Calculators with CAS (Computer Algebra System) are allowed for the AP Calculus exam, unlike some other AP subjects. However, devices with a QWERTY keyboard (e.g., TI-92 Plus, some older PDA-like devices) are strictly prohibited.

College Board 允许使用大多数图形计算器，包括 TI-84 Plus 系列、TI-Nspire（非 CAS 与 CAS 版本）、TI-89、HP Prime 和 Casio fx-CG 系列等主流型号。与其他某些 AP 科目不同，AP 微积分考试允许使用具有 CAS（计算机代数系统）功能的计算器。但是，严格禁止使用带 QWERTY 键盘的设备（例如 TI-92 Plus 及某些 PDA 式旧款设备）。

All calculators must be battery-operated, silent, and cannot have internet connectivity or camera features. You are responsible for understanding your own model’s menus and capabilities. It is wise to use a model you have practiced with extensively throughout the course.

所有计算器必须由电池供电，运行时安静，且不能具备互联网连接或拍照功能。你有责任了解自己型号的菜单与功能。明智的做法是使用整个课程中已经大量练习过的型号。

TI-84 Plus / Plus CE / Plus C Silver Edition
TI-Nspire / TI-Nspire CX / TI-Nspire CX II (non-CAS and CAS)
TI-89 / TI-89 Titanium
HP Prime
Casio fx-CG50 / fx-CG10 / fx-CG20

3. Prohibited Devices and Functions | 禁止的设备与功能

Beyond QWERTY keyboards, you cannot use cell phones, smart watches, tablets, laptops, or any device that can communicate wirelessly. Even if your calculator has CAS, using it to store notes or pre-written programs is not allowed; programs that provide step-by-step solutions or access a stored database are considered exam violations.

除 QWERTY 键盘外，禁止使用手机、智能手表、平板电脑、笔记本电脑或任何能无线通信的设备。即使你的计算器带有 CAS 功能，也禁止使用它存储笔记或预先编写的程序；任何提供逐步解题过程或访问存储数据库的程序将被视为考试违规。

Memory may be cleared before the exam if requested by the proctor. You should be prepared to demonstrate that no prohibited programs are stored. Using a calculator to share information during the test or to access unauthorized formulas will result in score cancellation.

如果监考人员要求，考试前可能需清空计算器内存。你应准备好证明没有存储违禁程序。在考试期间使用计算器共享信息或访问未经授权的公式将导致成绩取消。

4. Calculator Setup and Mode Settings | 计算器设置与模式

Before the exam, ensure your calculator is in radian mode for all trigonometric calculations, as the AP Calculus exam uses radians by default. On a TI-84, press MODE and select RADIAN. Check that your plotting mode is set to FUNCTION (FUNC) graph mode, and any stat plots (2nd Y=) are turned off to avoid cluttering your graph screen.

考试前，确保计算器处于弧度模式进行所有三角运算，因为 AP 微积分考试默认使用弧度。在 TI-84 上，按 MODE 并选择 RADIAN。确认绘图模式设为函数 (FUNC) 图形模式，并关闭所有统计绘图（2nd Y=），以避免图形界面混乱。

For parametric and polar questions (mainly in BC), you may need to switch temporarily to PAR or POL mode, but return to FUNC mode afterward. Set the appropriate window: try ZOOM 6:ZStandard for a quick range [-10,10] x [-10,10], then adjust using WINDOW settings like Xmin, Xmax, Ymin, Ymax. For functions involving exponential growth or asymptotes, use ZoomFit or manually expand the y-range.

对于参数方程和极坐标问题（主要在 BC），你可能需要临时切换到 PAR 或 POL 模式，但用完后应返回 FUNC 模式。设置合适的窗口：尝试 ZOOM 6:ZStandard 快速获得 [-10,10] x [-10,10] 范围，然后通过 WINDOW 调整 Xmin、Xmax、Ymin、Ymax。对于涉及指数增长或渐近线的函数，使用 ZoomFit 或手动扩展 y 轴范围。

5. Essential Graphing Operations | 必备的图形操作

During calculator-active sections, you will need to graph functions to analyze behavior, find intercepts, and interpret derivatives. Learn how to enter a function in the Y= editor, adjust viewing window, and use the CALC menu (2nd TRACE) to find zeros, minimums, maximums, and intersections.

在允许使用计算器的部分，你需要绘制函数图像来分析函数性态、求截距并解释导数。学会在 Y= 编辑器中输入函数、调整视窗并使用 CALC 菜单（2nd TRACE）求零点、最小值、最大值和交点。

Zero: Select 2:zero. Set left bound, right bound, and a guess. The calculator finds an x-intercept.
中文：选择 2:zero。设置左边界、右边界和猜测值，计算器将找出一个 x 轴截距。
Intersect: Select 5:intersect. Choose first curve, second curve, and a guess. Useful for solving f(x)=g(x).
中文：选择 5:intersect。选择第一条曲线、第二条曲线和猜测值，用于求解 f(x)=g(x)。
Numerical Derivative on Graph: 6:dy/dx then enter x-value. Displays the slope of the tangent at that x.
中文：图形上求数值导数：6:dy/dx，然后输入 x 值，显示该点切线的斜率。
Maximum/Minimum: 3:minimum or 4:maximum. Provide bounds and guess.
中文：3:minimum 或 4:maximum，提供边界和猜测值。

Always check the window so that the feature you want is visible and within the graphing window. If the calculator reports an error like ‘NO SIGN CHANGE,’ adjust bounds.

务必检查窗口，确保所找的特征在图形窗口内可见。如果计算器提示“NO SIGN CHANGE”等错误，调整边界。

6. Numerical Calculation: Derivatives and Integrals | 数值计算：求导与积分

The calculator can approximate derivatives and definite integrals directly from the home screen using built-in functions. For TI-84, press MATH 8:nDeriv( or 9:fnInt(. The syntax is nDeriv(expression,variable,value) and fnInt(expression,variable,lower,upper).

计算器可通过内建函数在主屏幕直接近似导数和定积分。对于 TI-84，按 MATH 8:nDeriv( 或 9:fnInt(。语法为 nDeriv(表达式,变量,值) 和 fnInt(表达式,变量,下限,上限)。

For example: nDeriv(sin(X),X,0) yields 1; fnInt(X^2,X,0,2) gives 8/3 ≈ 2.6667. When evaluating a definite integral that involves a function stored in Y1, you can use fnInt(Y1,X,0,2) after selecting Y1 from VARS > Y-VARS > FUNCTION.

例如：nDeriv(sin(X),X,0) 结果为 1；fnInt(X^2,X,0,2) 得出 8/3 ≈ 2.6667。计算涉及存储在 Y1 中函数的定积分时，可从 VARS > Y-VARS > FUNCTION 中选择 Y1，使用 fnInt(Y1,X,0,2)。

On free-response questions, you must write down the setup that produces the calculator’s numerical result. For instance, write ‘Using nDeriv(sin(x),x,0) = 1’ instead of just ‘f'(0)=1’. This demonstrates proper use of technology.

在自由回答题中，必须写下产生计算器数值结果的设置过程。例如，写出“使用 nDeriv(sin(x),x,0) = 1”，而不是只写“f'(0)=1”。这展示了对技术的恰当使用。

7. Solving Equations and Finding Intersections | 解方程与求交点

Beyond graphical intersections, you can solve equations using the Solver (MATH > B:Solver on TI-84). Enter the equation set equal to zero, such as X^3-2X-5=0, and provide a guess. The solver finds one root near the guess. To find additional solutions, repeat with different guesses.

除了图形求交点外，可以使用解方程器（在 TI-84 上 MATH > B:Solver）解方程。输入设为等于零的方程，如 X^3-2X-5=0，并提供一个猜测值。解方程器会给出一个接近猜测值的根。要得到其他解，需用不同猜测值重复操作。

Many students prefer graphing both sides of an equation, e.g., Y1=f(x), Y2=g(x), then using CALC 5:intersect. This visual method helps verify the number of solutions and avoid missing roots. Always confirm your solutions by checking that they satisfy the original equation.

许多学生更喜欢绘制方程两边图像，如 Y1=f(x), Y2=g(x)，然后使用 CALC 5:intersect。这种可视化方法有助于验证解的个数并避免遗漏根。务必验证解满足原方程。

8. Using Tables for Function Evaluation | 使用表格进行函数值计算

The TABLE feature (2nd GRAPH) is useful for evaluating a function at many x-values quickly, which can help identify limits, asymptotes, and justify behaviors. Set TblStart and ΔTbl (increment) by pressing 2nd WINDOW (TBLSET). For examining a limit as x approaches a value, set TblStart very close to that value and use a small ΔTbl, such as 0.001.

表格功能（2nd GRAPH）可用于快速计算函数在多个 x 值处的取值，有助于识别极限、渐近线并说明函数性态。按 2nd WINDOW (TBLSET) 设置 TblStart 和步长 ΔTbl。在考查 x 趋近某值的极限时，将 TblStart 设为非常接近该值，并使用很小的 ΔTbl，如 0.001。

In free-response answers, you can reference table values, e.g

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AP Calculus Exam Calculator Policy and Operation Guide | AP 微积分考试计算器使用规范与操作指南