DSE Mathematics

chisunch1, secretching, 2. 4. 2017

Obsah

  1. Polynomials(多項式)
    1. Cross Method(十字相乘法)
    2. Remainder Theorem and Factor Theorem(餘式定理及因式定理)
  2. Trigonometry(I) (三角學 1)
    1. Bearings(方位)
    2. Angles of elevation and depression(仰角和俯角)
    3. Projection(投影)
  3. Basic Properties of Circles 1(圓的基本性質一）
    1. Angles in a Circle(圓上的角)
    2. Chords of a Circle(圓上的弦)
    3. Arcs Proportional to Angles at the Centre(弧長與圓心角成比例)
  4. Basic Properties of Circles 2(圓的基本性質二)
    1. Tangent and Radius(切線及半徑)
    2. Tangent Properties(切線性質)
    3. Angles in alt. segment(交錯弓形的圓周角)
  5. Locus(軌跡)
    1. Locus 1 (軌跡 一)
    2. Locus 2 (軌跡 二)
    3. Locus 3 (軌跡 三)
    4. Locus 4 (軌跡 四)
    5. Locus 5 (軌跡五)
    6. Locus 6(軌跡六)
    7. Locus 7 (軌跡七)
    8. Locus 8 (軌跡八)
    9. Locus 9 (軌跡 九)
    10. Locus 10 (軌跡 十)
    11. Locus 11 (軌跡 十一)
  6. Straight Lines and Circles(直線和圓)
    1. Distance(距離公式)
    2. Slope(斜率公式)
    3. Translation(平移)
    4. Linear Equation (直線方程)
    5. Circle(圓方程)
    6. Polar Coordinate(極坐標)
  7. Inequalities(不等式)
    1. Compound Inequalities(複合不等式)
    2. Quadratic Inequalites(ax^2+bx+c)
  8. Linear Programming(線性規劃)
    1. Solve Linear Inequalities graphically(二元一次不等式的圖解)
    2. Linear Programming(線性規劃)
  9. Permutation and Combination(排列與組合）
    1. Permutation of different cards (distinguishable objects)
    2. Combinations of different cards (distinguishable objects)
  10. Measures of Dispersion(離差的量度)
    1. Effects on Dispersion
  11. 3D Trigonometry
    1. 3D Trigonometry: Angles in a Tetrahedron

1.

Polynomials(多項式)

Remainder theorem (餘式定理) Factor theorem(因式定理)

  • 1. Cross Method(十字相乘法)
  • 2. Remainder Theorem and Factor Theorem(餘式定理及因式定理)

1.1.

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1.2.

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2.

Trigonometry(I) (三角學 1)

  • 1. Bearings(方位)
  • 2. Angles of elevation and depression(仰角和俯角)
  • 3. Projection(投影)

2.1.

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2.2.

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2.3.

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3.

Basic Properties of Circles 1(圓的基本性質一）

  • 1. Angles in a Circle(圓上的角)
  • 2. Chords of a Circle(圓上的弦)
  • 3. Arcs Proportional to Angles at the Centre(弧長與圓心角成比例)

3.1.

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3.2.

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3.3.

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4.

Basic Properties of Circles 2(圓的基本性質二)

  • 1. Tangent and Radius(切線及半徑)
  • 2. Tangent Properties(切線性質)
  • 3. Angles in alt. segment(交錯弓形的圓周角)

4.1.

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4.2.

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4.3.

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5.

Locus(軌跡)

  • 1. Locus 1 (軌跡 一)
  • 2. Locus 2 (軌跡 二)
  • 3. Locus 3 (軌跡 三)
  • 4. Locus 4 (軌跡 四)
  • 5. Locus 5 (軌跡五)
  • 6. Locus 6(軌跡六)
  • 7. Locus 7 (軌跡七)
  • 8. Locus 8 (軌跡八)
  • 9. Locus 9 (軌跡 九)
  • 10. Locus 10 (軌跡 十)
  • 11. Locus 11 (軌跡 十一)

5.1.

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5.2.

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5.3.

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5.4.

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5.5.

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5.6.

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5.7.

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5.8.

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5.9.

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5.10.

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5.11.

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6.

Straight Lines and Circles(直線和圓)

  • 1. Distance(距離公式)
  • 2. Slope(斜率公式)
  • 3. Translation(平移)
  • 4. Linear Equation (直線方程)
  • 5. Circle(圓方程)
  • 6. Polar Coordinate(極坐標)

6.1.

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6.2.

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6.3.

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6.4.

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6.5.

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6.6.

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7.

Inequalities(不等式)

  • 1. Compound Inequalities(複合不等式)
  • 2. Quadratic Inequalites(ax^2+bx+c)

7.1.

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7.2.

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8.

Linear Programming(線性規劃)

  • 1. Solve Linear Inequalities graphically(二元一次不等式的圖解)
  • 2. Linear Programming(線性規劃)

8.1.

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8.2.

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9.

Permutation and Combination(排列與組合）

  • 1. Permutation of different cards (distinguishable objects)
  • 2. Combinations of different cards (distinguishable objects)

9.1.

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9.2.

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10.

Measures of Dispersion(離差的量度)

  • 1. Effects on Dispersion

10.1.

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11.

3D Trigonometry

  • 1. 3D Trigonometry: Angles in a Tetrahedron

11.1.

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Informace