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SUEC 高中 Adv Maths (Irrational Part 2)
- 1. 𝒑𝒈 𝟏𝟒𝟗 − 𝟏𝟓𝟎 𝒑𝒓𝒊𝒏𝒕𝒊𝒏𝒈 𝒆𝒓𝒓𝒐𝒓
- 2. 𝒑𝒈 𝟏𝟓𝟏 𝒙𝟑 𝟔 𝒂𝟒𝒃𝟐 𝟏 𝟑𝟐 𝟔 𝒙𝟐 𝟒 𝟔𝟒 𝟔 𝟏 𝟏𝟔 𝟑 𝟓𝟒 𝟔 𝒙𝟑 𝟑 𝒙𝟒 𝒂𝟑𝒃 𝟔 𝒂𝟑 𝒃𝟑 𝟑 𝒃 𝒂 𝒂𝟑 𝟑𝒃 𝟔 𝟐𝟕𝒂𝟗𝒃𝟗 𝟔 𝟒𝒂𝟒𝒃𝟐 𝟑 𝒃 𝟒𝒂 𝒑𝒓𝒊𝒏𝒕𝒊𝒏𝒈 𝒆𝒓𝒓𝒐𝒓
- 3. 𝒑𝒈 𝟏𝟒𝟗 − 𝟏𝟓𝟎
- 4. 𝒑𝒈 𝟏𝟓𝟏 𝟑 𝟐 − 𝟑 𝟑 𝟕 𝟗 𝟑 𝟗 − 𝟐 𝟓 𝟐 𝟑 𝟑 + 𝟑 𝟐 𝟏 𝟏𝟓 𝟔 − 𝟑 𝟐 𝟑 𝟔 𝟐𝟑 𝟏𝟓 𝟔 − 𝟑 𝟒 𝟑 𝟒 𝟐𝟑 𝟑𝟖 𝟕 − 𝟓 𝟑 𝟓
- 5. 𝒑𝒈 𝟏𝟓𝟏 𝟏 𝟐 𝒙 + 𝟑 𝟑 𝒚 𝟑 𝒂𝒃 + 𝟔 𝟑 𝒂𝒃 𝒙 𝒙 + 𝟔 + 𝟏 𝒙𝒚 𝟑 𝒙𝟐𝒚 − 𝒚 𝒙𝒚 𝟏𝟏𝒂 𝟑𝒂 + 𝒂𝒃 𝟑 𝒂 − 𝒂𝒃 𝟐 𝟑 𝟐𝒂 𝟐𝒙𝒚 + 𝟏 𝒙𝒚 𝟐𝒙𝒚 + −𝟐𝒙 + 𝟏 𝟐𝒙 𝟑 𝟐𝒙 + 𝟐𝒙
- 6. 𝒑𝒈 𝟏𝟓𝟏 = 𝟐𝒙𝒚 + 𝟏 𝒙𝒚 𝟐𝒙𝒚 + −𝟐𝒙 + 𝟏 𝟐𝒙 𝟑 𝟐𝒙 + 𝟐𝒙 𝟏𝟑. 𝟖𝒙𝟑𝒚𝟑 − 𝒙 𝟑 𝟏𝟔𝒙 + 𝟑 𝟏 𝟒𝒙𝟐 + 𝟐 𝒙𝒚 + 𝟐𝒙 = 𝟐𝒙𝒚 𝟐𝒙𝒚 − 𝟐𝒙 𝟑 𝟐𝒙 + 𝟑 𝟏 𝟒𝒙𝟐 × 𝟐𝒙 𝟐𝒙 + 𝟐 𝒙𝒚 × 𝒙𝒚 𝒙𝒚 + 𝟐𝒙
- 7. 𝒑𝒈 𝟏𝟓𝟐 𝒏 𝒂𝒃 = 𝒏 𝒂 𝒏 𝒃
- 8. 𝒑𝒈 𝟏𝟓𝟓 𝟑𝟎 𝟐 𝟏 𝟔 𝟑 − 𝟑 𝟑 𝟒 𝟏 𝟔 𝟑 𝟑 𝒂𝒃 𝟑 𝒃 𝟏 𝒂𝒃 𝟑 𝒂𝟐 𝒃𝟐 𝟐𝒂𝒃 𝟐 𝒂 𝒃 𝒏 𝒃𝟐
- 9. 𝒑𝒈 𝟏𝟓𝟐 − 𝟏𝟓𝟑 𝒏 𝒂𝒃 = 𝒏 𝒂 𝒏 𝒃
- 10. 𝒑𝒈 𝟏𝟓𝟓 𝟔 𝟕𝟐 𝒂 𝟏𝟐 𝒂𝟓 𝟏 𝒃 𝟔 𝒂𝟐𝒃𝟓 𝒙𝒚 𝟏𝟐 𝒙𝟕𝒚𝟐 𝟏 𝟐 𝟔 𝟐𝒙 𝒚 𝒙 𝟔 𝒙𝟒 𝒚 𝟏 𝒂 𝟏𝟐 𝒂𝟏𝟏 𝒂𝒃
- 11. 𝒑𝒈 𝟏𝟓𝟓 𝟖. 𝒏 𝒂𝒏−𝟐 𝒃 ∙ 𝒏 𝒂𝟐 𝒃𝒏−𝟏 = 𝒏 𝒂𝒏 𝒂𝟐 × 𝒃 × 𝒂𝟐 × 𝒃 𝒃𝒏 = 𝒂 𝒃 𝒏 𝒃𝟐 𝟏𝟔. 𝒏 𝒂𝒏−𝟏 𝒃 ∙ 𝟐𝒏 𝒂𝟐 𝒃𝟐𝒏−𝟐 = 𝟐𝒏 𝒂𝟐𝒏 𝒂𝟐 × 𝒃𝟐 × 𝒂𝟐 × 𝒃𝟐𝒏 𝒃𝟐 = 𝒂𝒃
- 12. 𝒑𝒈 𝟏𝟓𝟑 𝒏 𝒂 𝒃 = 𝒏 𝒂 𝒏 𝒃 = 𝟐 𝟓 × 𝟏 𝟑 𝟐 = 𝟏 𝟓 × 𝟐 𝟏− 𝟏 𝟑
- 14. 𝒑𝒈 𝟏𝟓𝟒
- 15. 𝒑𝒈 𝟏𝟓𝟓 𝟒 𝟑 𝟒 − 𝟒 𝟔 𝟏𝟎𝟖 − 𝟗 𝟒𝒙 − 𝟗 𝒚 𝟒 − 𝟔 𝟒𝟎 − 𝟔 𝟐𝟓 − 𝟓 𝒂 + 𝟏𝟐 𝒂𝟕 𝟑 𝒂𝟐 − 𝟐 + 𝟏 𝒂 𝟑 𝒂 𝟏 𝟐 𝟔 𝟑 − 𝟏 𝟐 𝟏𝟐 𝟑𝟏𝟏