建餐二乙期末考
Authored by 賴珍寧 賴珍寧
Mathematics
11th Grade
Used 18+ times
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20 questions
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1.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
求圓心在(2, – 3)，半徑為5的圓方程式為何？
(x + 2)2 + (y + 3)2 = 25
(x – 2)2 + (y + 3)2 = 5
(x – 2)2 + (y + 3)2 = 25
(x + 2)2 + (y – 3)2 = 25
2.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
設一圓的圓心為(1, – 2)且過點(5, – 5)，求圓方程式為何？
(x + 1)2 + (y – 2)2 = 25
(x – 1)2 + (y + 2)2 = 25
(x + 1)2 + (y – 2)2 = 10
(x – 1)2 + (y + 2)2 = 10
3.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
若方程式x2 + y2 – 6x + 8y + k = 0圖形為一點，試求k值為何？
4
9
16
25
4.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
以A(2, 3)、B(5, – 1)為直徑兩端點之圓方程式為何？
(x – 2)(x – 5) + (y – 3)(y + 1) = 0
(x + 2)(x + 5) + (y + 3)(y – 1) = 0
(x – 2)(x – 3) + (y – 5)(y + 1) = 0
(x – 2)(x – 5) – (y – 3)(y + 1) = 0
5.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
試判別方程式x2 + y2 + 2x – 2y + 7 = 0之圖形為何？
圓
點
橢圓
無圖形
6.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
設點P(– 2, 1)在圓C：x2 + y2 + kx – 4y – 9 = 0的外部，求k範圍為何？
k > 3
k < – 3
k < – 4
k > 4
7.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
試判斷圓C：x2 + y2 + 6x – 4y + 9 = 0與直線L：3x – 4y = 0的關係為何？
相交於兩點
相離
相切
圓心在直線上
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