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第 22 週 · 應試銜接 · 第 1 節

讀題與題型識別 —— 考卷的「語言」

應試銜接期第一課。你 13 週概念都學了,為什麼一到考卷就「一問三不知」?因為課堂上每題都有「章節提示」,考卷上沒有。這節教你三步讀題法 + 關鍵詞→工具映射表 + 整張考卷的題位地圖 —— 從此看到題目先知道「它想考什麼」。

classroom vs exam hallclassroomchapter: quadratic eq.hint = the title itselfexam paperno hints, 13 weeks shuffled
▶ 第一關: 三步讀題法
1. objectnumber/shape/data2. relationhow they connect3. toolformula/theorempick the tool LAST — never first
"≥ 0 for all x" = graph never below x-axisOK: Δ ≤ 0 (no crossing)NOT OK: dips below (Δ > 0)
▶ 第二關: 信號詞 → 工具映射表
signal word → tool (samples)"correct to 3 sig. fig."rounding family"decrease r% yearly"geometric seq."at least one"1 − P(none)"tangent to circle"d = r (or Δ = 0)"remainder r by (x−a)"f(a) = r"standard score"z = (x−μ)/σmemorise as reflexes — the examiner reuses them for 13 years
▶ 第三關: 考卷題位地圖
Paper 1 map (105 marks / 135 min)A(1) Q1–Q9 · 35 marksshort, easy — finish in 25 minA(2) Q10–Q14 · 35 marksvariation · stats(Q11!) · circle · polyB Q15–Q19 · 35 markscount · GS · AS · 3D-trig · Q19=12m13-year position rulesQ1 = 3-mark simplifyQ11 = stats (5 yrs in a row)Q18 = 3D trig (5 of 6 yrs)Q19 = 12-mark finaleknow the map → own the clock
Paper 2 map (45 MC / 75 min)Q1–15 easy20 min · algebraQ16–30 mid25 min · geom/trigQ31–45 hard30 min · locked topicslocked every year: complex number · z-score · variance transformlinear programming · circle equation · graph transform
⚔ BOSS: 識別實戰
"tangent" translated: d = rcentre (8,2)L: kx−5y−21=0d = rdistance from centre to L equals radius — one line, whole question