円の方程式

正しい円の方程式を選び、赤い点をそこへ動かしてください。

(x+2)^2+(y+3)^2=2

(x+2)^2+(y-3)^2=2

(x-2)^2+(y+3)^2=2

(x-2)^2+(y-3)^2=2

(x+2)^2+(y+3)^2=4

(x+2)^2+(y-3)^2=4

(x-2)^2+(y+3)^2=4

(x-2)^2+(y-3)^2=4

2

\sqrt{2}

正解

a: (2 * ((Random[0, 1] * 2) - 1))
b: (3 * ((Random[0, 1] * 2) - 1))
r = Random(0, 1)
A = (-1.5, 3.5)
B = (-1.5, 2.5)
C = (-1.5, 1.5)
D = (-1.5, 0.5)
E = (-1.5, -0.5)
F = (-1.5, -1.5)
G = (-1.5, -2.5)
H = (-1.5, -3.5)
X = (-2.5, 0)
text5 = If(r ≟ 0, text4, text3)
text2: "中心が$(" + (LaTeX[a]) + "," + (LaTeX[b]) + ")$、半径$" + (LaTeX[text5]) + "$であるような円の方程式を選べ。"
st1: x(X) ≟ x(A) ∧ y(X) ≟ y(A) ∧ a ≟ (-2) ∧ b ≟ (-3) ∧ r ≟ 0
st3: x(X) ≟ x(C) ∧ y(X) ≟ y(C) ∧ a ≟ 2 ∧ b ≟ (-3) ∧ r ≟ 0
st4: x(X) ≟ x(D) ∧ y(X) ≟ y(D) ∧ a ≟ (-2) ∧ b ≟ (-3) ∧ r ≟ 0
st5: x(X) ≟ x(E) ∧ y(X) ≟ y(E) ∧ a ≟ (-2) ∧ b ≟ (-3) ∧ r ≟ 1
st2: x(X) ≟ x(B) ∧ y(X) ≟ y(B) ∧ a ≟ (-2) ∧ b ≟ 3 ∧ r ≟ 0
st6: x(X) ≟ x(F) ∧ y(X) ≟ y(F) ∧ a ≟ (-2) ∧ b ≟ 3 ∧ r ≟ 1
st7: x(X) ≟ x(G) ∧ y(X) ≟ y(G) ∧ a ≟ 2 ∧ b ≟ (-3) ∧ r ≟ 1
st8: x(X) ≟ x(H) ∧ y(X) ≟ y(H) ∧ a ≟ 2 ∧ b ≟ 3 ∧ r ≟ 1
st: st1 ∨ st2 ∨ st3 ∨ st4 ∨ st5 ∨ st6 ∨ st7 ∨ st8