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SUEC 高中 Adv Maths (Function Graphical Representation)
- 1. analytical method 解析法 Venndiagrams 范氏图示法 tabulation method 列表法 graphical method 图象法
- 2. 𝒑𝒈 𝟏𝟎 𝒇 𝒙= ? 𝒙 Venn diagrams 范氏图示法 𝒇 𝒂 = 𝒃 𝒇 𝒙 = 𝒙𝟐 + 𝟏 𝒇 𝒙 = 𝟐𝒙 + 𝟐 𝒇 𝒙 = 𝒙 𝒙 + 𝟏 𝒇 𝒙 = 𝒙𝟐
- 3. analytical method 解析法 Venndiagrams 范氏图示法 tabulation method 列表法 graphical method 图象法
- 4. 𝒑𝒈 𝟖, 𝟗analytical method 解析法 𝒏 < 𝒙 ≤ 𝒏 + 𝟏 (𝒏 𝝐 𝑵, 𝒏 ≥ 𝟏𝟎) 𝑵 = 𝒏𝒂𝒕𝒖𝒓𝒂𝒍 𝒏𝒖𝒎𝒃𝒆𝒓𝒔 = 𝟏, 𝟐, 𝟑, 𝟒 … graphical method 图象法
- 5. 𝒑𝒈 𝟐𝟔 analyticalmethod 解析法 graphical method 图象法 analytical method 解析法 𝒚 = 𝟐 𝟎 < 𝒙 ≤ 𝟐𝟎 图象法 graphical method 𝟒 𝟐𝟎 < 𝒙 ≤ 𝟒𝟎 𝟔 𝟒𝟎 < 𝒙 ≤ 𝟔𝟎
- 6. 𝒑𝒈 𝟏𝟏 analyticalmethod 解析法 graphical method 图象法 analytical method 解析法 𝒚 = 𝒙, 𝟎 < 𝒙 ≤ 𝟏𝟎 𝟐 + 𝟎. 𝟖𝒙, 𝟏𝟎 < 𝒙 ≤ 𝟐𝟎 ≤ 𝟏𝟎 𝒌𝒈, 𝒔𝒆𝒍𝒍𝒊𝒏𝒈 𝒑𝒓𝒊𝒄𝒆 𝒐𝒇 𝒙 𝒌𝒈 = 𝟏𝒙 > 𝟏𝟎 𝒌𝒈, 𝒔𝒆𝒍𝒍𝒊𝒏𝒈 𝒑𝒓𝒊𝒄𝒆 𝒐𝒇 𝒙 𝒌𝒈 = 𝟏𝟎 + 𝟎. 𝟖 𝒙 − 𝟏𝟎 = 𝟏𝟎 + 𝟎. 𝟖𝒙 − 𝟖 = 𝟐 + 𝟎. 𝟖𝒙 图象法 graphical method
- 7. 𝒑𝒈 𝟏𝟎 analyticalmethod 解析法 𝒇 𝒏 = 𝟑𝒏 − 𝟐 (𝒏 𝝐 𝑵) 𝒇 𝒂 = 𝒃 𝒈 𝒙 = 𝟓𝒙𝟐 (𝒙 𝝐 𝑹) 𝒉 𝒙 = 𝟏 (𝒙 𝝐 + 𝒗𝒆 𝑹) 𝒉 𝒙 = −𝟏 (𝒙 𝝐 − 𝒗𝒆 𝑹) 𝒉 𝟎 = 𝟎 (𝒙 𝝐 𝑹) 𝒉 𝒙 = 𝟏, 𝒙 > 𝟎 时 0, 𝒙 = 𝟎 时 −𝟏, 𝒙 < 𝟎 时 R, x ≠ 0 mapped to its reciprocal (a number that when multiplied by a given number gives one as a product) 𝒌 𝒙 = 𝟏 𝒙 (𝒙 𝝐 𝑹, 其 𝒙 ≠ 𝟎)
- 8. 𝒑𝒈 𝟏𝟎 analyticalmethod 解析法 graphical method 图象法
- 9. 𝒑𝒈 𝟏𝟎 graphicalmethod 图象法
- 10. 𝒑𝒈 𝟏𝟎 graphicalmethod 图象法
- 11. 𝒑𝒈 𝟏𝟎 graphicalmethod 图象法 𝒑𝒈 𝟏𝟏 graphical method 图象法 𝟏𝟓 °𝑪, 𝟏𝟒 时 − 𝟓 °𝑪, 𝟐 时
- 12. analytical method 解析法 Venndiagrams 范氏图示法 tabulation method 列表法 graphical method 图象法
- 13. 𝒑𝒈 𝟏𝟏 analyticalmethod 解析法 tabulation method 列表法 𝑻 = −𝟑 𝟓𝟎𝟎 𝒉 + 𝟏𝟎 𝟏 °𝑪 原象 𝒑𝒓𝒆𝒊𝒎𝒂𝒈𝒆 𝒇 𝒂 = 𝒃 𝑻𝟎 = ? 𝒉 + 𝟏𝟎 = 𝟏𝟎 𝑻𝟓𝟎𝟎 = 𝑻𝟓𝟎𝟎−𝑻𝟎 𝒉𝟓𝟎𝟎−𝒉𝟎 (𝟓𝟎𝟎) + 𝟏𝟎 = 𝟕 𝑻𝟓𝟎𝟎 = −𝟑 𝟓𝟎𝟎 (𝟓𝟎𝟎) + 𝟏𝟎 = 𝟕 𝑻𝟏𝟎𝟎𝟎 = −𝟑 𝟓𝟎𝟎 (𝟏𝟎𝟎𝟎) + 𝟏𝟎 = 𝟒 𝑻𝟐𝟎𝟎𝟎 = −𝟑 𝟓𝟎𝟎 (𝟐𝟎𝟎𝟎) + 𝟏𝟎 = −𝟐 𝑻𝟑𝟎𝟎𝟎 = −𝟑 𝟓𝟎𝟎 (𝟑𝟎𝟎𝟎) + 𝟏𝟎 = −𝟖 𝑻𝟏𝟓𝟎𝟎 = −𝟑 𝟓𝟎𝟎 𝟏𝟓𝟎𝟎 + 𝟏𝟎 = 𝟏 𝑻𝟏𝟓𝟎𝟎 = 𝑻𝟏𝟎𝟎𝟎 + 𝑻𝟐𝟎𝟎𝟎 𝟐 = 𝟏 −𝟑 −𝟔 +𝟓𝟎𝟎 +𝟏𝟎𝟎𝟎