MIA3eITcatalogue

老師 課前 課堂 評估 i 教學工具一覽表 4A • 利用圖解法解二次方程 S olving a quadratic equation graphically • 二次方程的圖像和判別式 G raph of a quadratic equation and its discriminant • 形式為 y = ax 2 + bx + c 的二次函數的圖像 G raphs of quadratic functions in the form y = ax 2 + bx + c • 形式為 y = a(x – h) 2 + k 的二次函數的圖像 G raphs of quadratic functions in the form y = a(x – h) 2 + k • 比較線性函數和二次函數的圖像 C omparing graphs of linear functions and quadratic functions • 函數的判斷 Determination of Functions • 二次函數的圖像 Graph of a Quadratic Function • 探究 y = mx + c 的圖像中 m 和 c 的意義 E xploring the meanings of m and c in the graph of y = mx + c • 直線方程的一般式的性質 F eatures of equations of straight lines in the general form • 判斷兩條直線的交點的數目 D etermining the number of intersections between two straight lines 5A • 圓上的角的關係 R elationship between angles in a circle • 圓內接四邊形中一組對角之間​ 的關係 R elationship between a pair of opposite angles of a cyclic quadrilateral • 繪畫三角形的外接圓 D raw the circumcircle of a triangle • 弦與圓心的距離之關係 R elationships between chords and their distances from centre • 弧、弦和角的關係 R elationships among arcs, chords and angles • 弦的垂線 Perpendiculars to Chords • 同弓形內的圓周角 Angles in the Same Segment • 共圓點的判別法 Tests for Concyclic Points • 半徑與切線 Radius and tangent • 切線性質 Tangent properties • 交錯弓形的圓周角 Angles in the Alternate Segment • 利用圖解法解一元二次不等式 S olving Quadratic Inequalities in One Unknown by the Graphical Method • 二元一次不等式的解 S olutions of linear inequalities in two unknowns • 求目標函數在可行解區域內的​ 最優值 F inding the optimal values of an objective function within a feasible region • 線性規畫 Linear Programming • 正弦公式 T he sine formula • 探究在給定條件下所能形成的​ 三角形的數目 I nvestigate the number of triangles formed under certain conditions • 一條直線與一個平面的交角 Angle between a Line and a Plane • 三維空間上圖形的角（長方體） A ngles in 3-dimensional Figures (Rectangular Block) • 三維空間上圖形的角（直立角錐） A ngles in 3-dimensional Figures (Right Pyramid) 5B • 圓的方程的一般式 G eneral form of the equations of circles • 直線與圓相交的各種情況 P ossible Intersection between a Straight Line and a Circle • 與兩條給定相交線保持相等距離的動點 的軌跡 L ocus of a moving point maintaining an equal distance from two given intersecting lines • 與一點和一直線保持相等距離的動點的​ 軌跡 L ocus of a moving point maintaining an equal distance from a point and a straight line • 數據的變化對離差的量度的影響 Effects of Data Change on Measures of Dispersion • 框線圖 Box-and-Whisker Diagram • 排列與組合 Permutation and Combination 6A • 比較 y = f(x) 和 y = f(x) + k 兩個圖像 C omparing the graphs of y = f(x) and y = f(x) + k • 比較 y = f(x) 和 y = f(x + k) 兩個圖像 C omparing the graphs of y = f(x) and y = f(x + k) • 比較 y = f(x) 和 y = f(–x) 兩個圖像 C omparing the graphs of y = f(x) and y = f(–x) • 利用圖解法解不等式 S olving Inequalities Using the Graphical Method • 函數的變換 T ransformations of Functions 4B • y = a x (其中 a > 1 及 0 < a < 1 ) 的圖像的特徵 F eatures of the graphs of y = a x for a > 1 and 0 < a < 1 • y = log a x (其中 a > 1 及 0 < a < 1 ) 的圖像的​ 特徵 F eatures of the graphs of y = log a x for a > 1 and 0 < a < 1 • 常用對數的性質 Properties of common logarithms • y = a x 與 y = log a x 兩個圖像的關係 R elationship between the graphs of y = a x and y = log a x • 探究一條直線與一條二次曲線的交點數目 E xplore the number of intersections between a straight line and a quadratic curve • 利用圖解法解聯立方程 S olving Simultaneous Equations by the Graphical Method • 三角比的正負值 The signs of trigonometric ratios • 利用單位圓繪畫三角函數的圖像 (y = sin θ, y = cos θ, y = tan θ) P lot the graph of trigonometric functions by using the unit circle (y = sin θ, y = cos θ, y = tan θ) • 三角恆等式 Trigonometric identities 8