GeoGebra語法自用

三角形重心(運用語法:中點語法，兩點線段語法，交點語法)

A = (-2, 1)
 B = (5, 0)
 C = (0, 5)
 M_a = Midpoint[B, C]
 M_b = Midpoint[A, C]
 s_a = Line[A, M_a]
 s_b = Line[B, M_b]
 S = Intersect[s_a, s_b]

(PS:s = Segment[A, B]也是兩點線段，但不超出)


線段7:3分割(運用語法:加入向量語法，兩點線段語法)

A = (-2, 1)
 B = (3, 3)
 s = Segment[A, B]
 v = Vector[A, B]
 T = A + 7/10 v

(PS:利用向量語法能製作全等或是相似三角)



平面切線(運用語法:切線語法)

a = 3
 f(x) = 2 sin(x)
 t = Tangent[a, f]


多項式函數的根、極值、和反曲點、微分

f(x) = x^3 - 3 x^2 + 1
 R = Root[f]
 E = Extremum[f]
 I = InflectionPoint[f]
Derivative[f]
 Derivative[f, 2]


積分

f(x) = x^2/4 + 2
 a = 0
 b = 2
 n = 5
 L = LowerSum[f, a, b, n]
 U = UpperSum[f, a, b, n]

(PS:a、b為X軸範圍，n為分割幾個，f為上函數-下函數)