【DSE 數學 Paper 2 MC 技巧:節省時間及提高命中率】DSE Maths Paper 2 MC Techniques: Save Time and Raise Your Score

SketchMath 數學團隊 SketchMath Maths Team | 更新 Updated 2026-10-20

Paper 2 有 45 題選擇題,限時 1 小時 15 分鐘,平均每題約 1 分 40 秒。先做容易的,卡住的先標記,稍後再回頭,不要留白,並善用捷徑:代入數值、測試點、排除選項及用計數機驗算。Paper 2 has 45 multiple-choice questions in 1 hour 15 minutes, about 1 minute 40 seconds each. Do the easy questions first, mark the slow ones and come back, never leave a blank, and use shortcuts: substitute numbers, test a point, eliminate options and check with the calculator.

用 AI 逐步解Paper 2 MC 技巧題目 Solve it with AI

MC 技巧一覽 MC Toolkit

時間分配Time budget每題約 100 秒;分兩輪作答,預留約 10 分鐘檢查About 100 seconds a question; two passes with 10 minutes kept for checking
代入數值Substitute numbers含字母的題目,選簡單數值代入所有選項For expressions with letters, pick simple values and test every option
測試點Test a point不等式及區域題,每個區間測試一點For inequalities and regions, test one point in each interval
排除Eliminate排除正負號、單位、大小或一個簡單情況不符的選項Remove options that fail on sign, units, size or one easy case
計數機驗算Calculator check把原式及各選項代入同一個值計算Evaluate the original expression and each option at one value
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Paper 2 MC 技巧例題詳解 Worked Examples

例題 1 Example 1:代入數值 Substitute numbers

若 a : b = 2 : 3,則 (a + b) : b 等於 A 2 : 3、B 5 : 3、C 1 : 3、D 5 : 2。If a : b = 2 : 3, then (a + b) : b equals A 2 : 3, B 5 : 3, C 1 : 3, D 5 : 2.

  1. 取 a = 2、b = 3:(a + b) : b = 5 : 3Take a = 2, b = 3: (a + b) : b = 5 : 3

答案: Answer: B

例題 2 Example 2:測試點 Test a point

x² − 5x + 6 < 0 的解是 A x < 2 或 x > 3、B 2 < x < 3、C x < 3、D x > 2。The solution of x² − 5x + 6 < 0 is A x < 2 or x > 3, B 2 < x < 3, C x < 3, D x > 2.

  1. 根是 2 及 3。測試 x = 2.5:6.25 − 12.5 + 6 = −0.25 < 0,所以中間的區間成立The roots are 2 and 3. Test x = 2.5: 6.25 − 12.5 + 6 = −0.25 < 0, so the middle interval works
  2. 測試 x = 0:6 > 0,所以兩側不成立Test x = 0: 6 > 0, so the outside does not work

答案: Answer: B

例題 3 Example 3:用計數機驗算 Check with the calculator

當 x ≠ 3,哪一項等於 (x² − 9)/(x − 3)?A x − 3、B x + 3、C x² − 3、D 3 − x。Which is equal to (x² − 9)/(x − 3) for x ≠ 3? A x − 3, B x + 3, C x² − 3, D 3 − x.

  1. 把 x = 5 代入原式:16 / 2 = 8Put x = 5 in the original: 16 / 2 = 8
  2. 只有 x + 3 得 8Only x + 3 gives 8

答案: Answer: B

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💡 應試陷阱與秘訣 Exam Traps & Secrets

⚠️ 不要在一題花四分鐘 Do not spend four minutes on one question先標記並選一個最可能的答案,然後繼續。每題分數相同,一題難題花的時間可以做兩題易題。Mark it, guess the most likely option, and move on. Each question is worth the same, so a hard one costs the time of two easy ones.
⚠️ 一個測試值可能同時符合兩個選項 One test value can accidentally fit two options避免用 0 或 1 這類會令多個選項相等的值。若仍有兩個選項符合,再試第二個值。Avoid values like 0 or 1 that make several options equal. If two options still survive, try a second value.
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✏️ 自我測試:互動練習 Self-Test: Interactive Practice

溫習方法:點擊以下任何題目,即時在坐標網格載入並核對計算步驟。How to study: click any question to load it on the coordinate grid and check your steps.

(MC 練習 Practice MC)給我 5 條二次方程的 DSE 風格選擇題,並示範每題的快速做法。Give me 5 DSE-style MC questions on quadratic equations and show a fast way to answer each.
(代入法 Substitution)哪些選擇題可用代入數值作答?請以代數為例。Which MC questions can I answer by substituting numbers? Give examples on algebra.
(限時練習 Timed set)用我較弱的課題編一份 45 題、限時的 Paper 2 練習。Make a 45-question timed Paper 2 practice from the topics I am weak at.
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常見問題 Frequently Asked Questions

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