數與數線(8)
Author: 藍邦偉　老師

(4)反例:a=2,b=-\sqrt{2}

(5)(\sqrt{3}+\sqrt{14})²=17+2\sqrt{42},(\sqrt{4}+\sqrt{13})²=17+2\sqrt{52}

(1):正確

(2)\left\lbrace \begin{array}{ll} a+b=q_1 ∈\mathbb{Q} \  a-b=q_2 ∈\mathbb{Q}\ \end{array}  \right.\ ⇒a=\frac{q_1+q_2}{2}∈\mathbb{Q},b=\frac{q_1-q_2}{2}∈\mathbb{Q}

(3)正確

n = 0 (slider from 0 to 6, step 1)
A = (-1.6854545454545464, -0.49818181818181756)
B: A + (2, 0)
D: A + (0, 0.7)
C: B + D - A
poly1, a, b, c, d = Polygon(A, B, C, D)