Common Pitfalls in IB Math AA HL 2 | IB数学AA HL2 易错点总结

📚 Common Pitfalls in IB Math AA HL 2 | IB数学AA HL2 易错点总结

In IB Mathematics: Analysis and Approaches HL, Year 2 topics such as limits, advanced differentiation and integration, vectors, complex numbers, series, and probability distributions can be exceptionally tricky. Students often understand the core concepts but lose marks due to small, recurring errors. This guide highlights the most common pitfalls and shows you how to sidestep them, ensuring your solutions are rigorous and accurate.

在IB数学分析与方法HL第二年课程中，极限、高级微积分、向量、复数、级数和概率分布等主题极易失分。同学们常理解了核心概念，却因一再出现的小错误而丢分。本指南汇总了最常见的陷阱并教你如何规避，确保解题过程严谨准确。

1. Ignoring Domain in Limits | 极限中忽略定义域

When evaluating a limit, particularly two-sided limits, students often proceed directly to substitution or simplification without checking the natural domain of the function. For instance, trying to compute lim_x→2 √(2−x) without noting that the square root requires 2−x ≥ 0 will lead to confusion, as the limit from the right does not exist in the reals.

在求极限时，特别是双边极限，学生常直接代入或化简，而未检查函数的自然定义域。例如，试图计算 lim_x→2 √(2−x) 却未注意到平方根要求 2−x ≥ 0，会导致混淆，因为从右侧趋近的

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