Form 3 Maths

Ngan Hok Hei, Oct 22, 2017

It is just a collection of different good applet found in the geogebra community.

Table of Contents

  1. Quadrilateral
    1. Properties: parallelogram
    2. Properties: trapezium
    3. Properties: square
    4. Properties: rhombus
    5. Properties: rectangle
    6. Properties: kite
    7. Area of a Trapezium
    8. Area of a Parallelogram
    9. Area of a Kite
  2. Inequality
    1. Inequalities and Number Line 不等式與數線
  3. Coordinate geometry
    1. Equation of a Straight Line
    2. F3 math self - learning the distance formula
    3. Distance between Two Points 兩點距離
    4. Meaning of Slope 斜率的意義
    5. Slope 斜率
    6. Quiz on Mid-point 中點：測驗
    7. 兩點距離：測驗 Quiz on Distance between Two Points
    8. Quiz on Slope (1) | 斜率測驗(1)
    9. Quiz on Slope (2) | 斜率測驗(2)
    10. Quiz on Slope (3) | 斜率測驗(3)
    11. Quiz on Slope of Parallel Lines and Perpendicular Lines 平行線和垂直線的斜率：測驗
    12. 63=64=65 ?
  4. sine, cosine and tangnet
    1. Contour Lines 等高線
    2. Angle of Elevation & Angle of Depression 仰角和俯角
    3. Bearings (Animated) 方位(動畫)
    4. Bearings 方位
    5. Quiz on True Bearings 真方位角：測驗
    6. Quiz on Compass Bearings 羅盤方位角：測驗
    7. Combined Quiz on Bearings 方位：合併測驗
  5. Area and Volume
    1. Volume of Pyramids
    2. Curved Surface Area of a Cone 圓錐的曲面面積
    3. Building Cones 建造圓錐體
    4. Surface Area of a Sphere (Mnemonic) 球體的表面面積（記憶法）
    5. Relationship between Volume and Surface Area of a Sphere 球體的體積與表面面積的關係
    6. Quiz on Formula about Area and Volume 面積及體積公式：測驗
    7. Frustum | 平截頭體
    8. Trisecting the Cube into 3 Pyramids
    9. Building Pyramids 建造角錐體
  6. law of index
    1. Meaning of Negative Indices 負指數的意義
    2. Quiz on Negative Indices 負指數：測驗
    3. 指數定律：測驗 Quiz on Laws of Indices
    4. Scientific Notation 科學記數法
    5. Quiz on Scientific Notation 科學記數法：測驗
  7. more about 3d figure
    1. Line Perpendicular to Plane 垂直於平面的直線
    2. Angle between a Line and a Plane 投影與線面角
    3. Quiz on Projection of a Line Segment on a Plane 投影：測驗
    4. Quiz on Angle between a Line and a Plane 線面角：測驗
    5. Angle between Two Planes 面面角
    6. Angle between Two Planes 兩平面之間的交角(面面角)(2)
    7. Angle between Two Planes in a Square Pyramid 正四角錐中兩平面間的交角
  8. measure central tendency
    1. Estimating Mean 猜猜平均數
    2. Measures of Central Tendency 集中趨勢的量度
    3. Measures of Central Tendency (two data sets) 集中趨勢的量度（比兩組數據）
    4. Mean of a Large Set of Data 大量數據的平均數
    5. Weighted Mean 加權平均數
  9. special line in triangle
    1. Special Lines & Centres of Triangles 三角形的特殊線和中心
    2. Quiz on Special Lines in Triangles 三角形內的特殊線：測驗
    3. Quiz on Centres of Triangles 三角形的中心：測驗
  10. percentage 2
    1. Simple Interest 單利息
    2. Compound Interest 複利息
    3. Quiz on Interest 利息：測驗
    4. Salaries Tax in Hong Kong 薪俸稅

1.

Quadrilateral

  • 1. Properties: parallelogram
  • 2. Properties: trapezium
  • 3. Properties: square
  • 4. Properties: rhombus
  • 5. Properties: rectangle
  • 6. Properties: kite
  • 7. Area of a Trapezium
  • 8. Area of a Parallelogram
  • 9. Area of a Kite

1.1.

Properties: parallelogram

Properties of the parallelogram
– David T

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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1.8.

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1.9.

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2.

Inequality

  • 1. Inequalities and Number Line 不等式與數線

2.1.

Inequalities and Number Line 不等式與數線

選出圖示所代表的不等式，並選出滿足不等式的最大或最小整數。
gMath 互動數學教室 [url=http://www.geogebra.hk]http://www.geogebra.hk[/url]
– Alex CHIK

3.

Coordinate geometry

  • 1. Equation of a Straight Line
  • 2. F3 math self - learning the distance formula
  • 3. Distance between Two Points 兩點距離
  • 4. Meaning of Slope 斜率的意義
  • 5. Slope 斜率
  • 6. Quiz on Mid-point 中點：測驗
  • 7. 兩點距離：測驗 Quiz on Distance between Two Points
  • 8. Quiz on Slope (1) | 斜率測驗(1)
  • 9. Quiz on Slope (2) | 斜率測驗(2)
  • 10. Quiz on Slope (3) | 斜率測驗(3)
  • 11. Quiz on Slope of Parallel Lines and Perpendicular Lines 平行線和垂直線的斜率：測驗
  • 12. 63=64=65 ?

3.1.

Equation of a Straight Line

– David T

3.2.

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3.3.

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3.4.

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3.5.

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3.6.

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3.7.

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3.8.

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3.9.

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3.10.

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3.11.

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3.12.

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4.

sine, cosine and tangnet

  • 1. Contour Lines 等高線
  • 2. Angle of Elevation & Angle of Depression 仰角和俯角
  • 3. Bearings (Animated) 方位(動畫)
  • 4. Bearings 方位
  • 5. Quiz on True Bearings 真方位角：測驗
  • 6. Quiz on Compass Bearings 羅盤方位角：測驗
  • 7. Combined Quiz on Bearings 方位：合併測驗

4.1.

Contour Lines 等高線

你可拖拉平面圖中的黃點和紅點。你亦可改變等高線的高度相差及勾選「改動等高線」來改動地形。
GeoGebra 互動數學教室 [url]http://www.geogebra.hk[/url]
– Alex CHIK

4.2.

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4.3.

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4.4.

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4.5.

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4.6.

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4.7.

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5.

Area and Volume

  • 1. Volume of Pyramids
  • 2. Curved Surface Area of a Cone 圓錐的曲面面積
  • 3. Building Cones 建造圓錐體
  • 4. Surface Area of a Sphere (Mnemonic) 球體的表面面積（記憶法）
  • 5. Relationship between Volume and Surface Area of a Sphere 球體的體積與表面面積的關係
  • 6. Quiz on Formula about Area and Volume 面積及體積公式：測驗
  • 7. Frustum | 平截頭體
  • 8. Trisecting the Cube into 3 Pyramids
  • 9. Building Pyramids 建造角錐體

5.1.

Volume of Pyramids

– Anthony OR 柯志明

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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6.

law of index

  • 1. Meaning of Negative Indices 負指數的意義
  • 2. Quiz on Negative Indices 負指數：測驗
  • 3. 指數定律：測驗 Quiz on Laws of Indices
  • 4. Scientific Notation 科學記數法
  • 5. Quiz on Scientific Notation 科學記數法：測驗

6.1.

Meaning of Negative Indices 負指數的意義

gMath 互動數學教室[br][url=http://www.gmath.hk]http://www.gmath.hk[/url]
– Alex CHIK

6.2.

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6.3.

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6.4.

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6.5.

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7.

more about 3d figure

  • 1. Line Perpendicular to Plane 垂直於平面的直線
  • 2. Angle between a Line and a Plane 投影與線面角
  • 3. Quiz on Projection of a Line Segment on a Plane 投影：測驗
  • 4. Quiz on Angle between a Line and a Plane 線面角：測驗
  • 5. Angle between Two Planes 面面角
  • 6. Angle between Two Planes 兩平面之間的交角(面面角)(2)
  • 7. Angle between Two Planes in a Square Pyramid 正四角錐中兩平面間的交角

7.1.

Line Perpendicular to Plane 垂直於平面的直線

Move point A such that AB is perpendicular to the plane. Then move point D. Does angle ABD change?[br]移動A點使AB垂直於平面。然後移動D點。角ABD有變化嗎?
GeoGebra 互動數學教室 [url]http://www.geogebra.hk[/url]
– Alex CHIK

7.2.

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7.3.

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7.4.

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7.5.

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7.6.

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7.7.

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8.

measure central tendency

  • 1. Estimating Mean 猜猜平均數
  • 2. Measures of Central Tendency 集中趨勢的量度
  • 3. Measures of Central Tendency (two data sets) 集中趨勢的量度（比兩組數據）
  • 4. Mean of a Large Set of Data 大量數據的平均數
  • 5. Weighted Mean 加權平均數

8.1.

Estimating Mean 猜猜平均數

GeoGebra 互動數學教室 [url]http://www.geogebra.hk[/url]
– Alex CHIK

8.2.

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8.3.

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8.4.

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8.5.

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9.

special line in triangle

  • 1. Special Lines & Centres of Triangles 三角形的特殊線和中心
  • 2. Quiz on Special Lines in Triangles 三角形內的特殊線：測驗
  • 3. Quiz on Centres of Triangles 三角形的中心：測驗

9.1.

Special Lines & Centres of Triangles 三角形的特殊線和中心

問題
[list=1][*]顯示三角形ABC的中線和形心G。量度AG和GA’。它們有甚麼關係？[br]類似地，BG和GB’、CG和GC’有甚麼關係？[/*][*]量度三角形AGB’和其餘五個三角形的面積(要先用多方形工具構作該六個三角形)。[br]它們有甚麼關係？[br][/*][*]顯示三角形ABC的垂直平分線和外心O。量度OA、OB及OC的長度。它們有甚麼關係？[br]嘗試以O為圓心繪畫一個圓形通過A、B及C(該圓稱為三角形ABC的[b]外接圓[/b])。[br][/*][*]顯示三角形ABC的角平分線及內心I。由I作垂直線到三角形ABC的三邊。量度I與三點垂足的距離。它們有甚麼關係？[br]嘗試以I為圓心繪畫一個圓形使它相切於三角形ABC的三邊(該圓稱為三角形ABC的[b]內接圓[/b])。[br][/*][*]顯示三角形ABC的四個中心(但隱藏各特殊線)和格線。[br]當ABC為[i]等腰[/i]三角形時，G、H、O和I有何特徵？[br][/*][*]當ABC為[i]直角[/i]三角形時，H和O有何特徵？[br][/*][*]當ABC為[i]鈍角[/i]三角形時，H和O有何特徵？[br][/*][*]甚麼情況下G、H、O和I會重合？[br][/*][*]G、H、O和I四者中，哪三者永遠共線(在同一直線之上)？它們之間的距離又有甚麼關係？[/*][/list]
gMath 互動數學教室[br][url=http://www.gmath.hk]http://www.gmath.hk[/url]
– Alex CHIK

9.2.

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9.3.

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10.

percentage 2

  • 1. Simple Interest 單利息
  • 2. Compound Interest 複利息
  • 3. Quiz on Interest 利息：測驗
  • 4. Salaries Tax in Hong Kong 薪俸稅

10.1.

Simple Interest 單利息

GeoGebra 互動數學教室 [url]http://www.geogebra.hk[/url]
– Alex CHIK

10.2.

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10.3.

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10.4.

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