Mathematics - Analysis and Approaches 考試技巧

計算機程式

常見錯誤

1. 1high涉及分數: 2Functions

   Writing asymptote equations as simple numbers instead of full linear equations (e.g., writing '2' instead of 'x = 2' or 'y = 2').

   如何避免: Always state asymptotes using both the variable and the value, for example: vertical asymptote is x = c, horizontal asymptote is y = k.
2. 2high涉及分數: 3Calculus

   Omitting the constant of integration (+C) in general solutions of indefinite integrals or separable differential equations.

   如何避免: Train yourself to write '+ C' immediately upon performing any indefinite integration step before attempting to apply boundary conditions.
3. 3medium涉及分數: 4Calculus

   Calculating total distance in kinematics by simply subtracting initial and final displacement, ignoring changes in direction.

   如何避免: Use the absolute value of velocity inside the integral: integrate |v(t)| from t1 to t2, or calculate individual positive and negative area segments separately.
4. 4high涉及分數: 1Number and algebra

   Rounding intermediate decimal numbers during multi-step GDC calculations on Paper 2, causing rounding errors in the final answer.

   如何避免: Keep the unrounded values in your GDC memory history, and only round the final stated answer to 3 significant figures (or 2 decimal places for financial quantities).
5. 5medium涉及分數: 2Functions

   Failing to check if calculated values of a parameter satisfy domain constraints (e.g., retaining a negative value for a probability parameter or a dimension like radius).

   如何避免: Explicitly write down boundary constraints, such as 0 <= p <= 1 for probabilities or r > 0 for lengths, and formally reject extraneous mathematical roots with a brief comment.