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第四冊1-1圓的標準式

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

圓(x + 1)2 + (y - 3)2 = 2的圓心為何?

a)

(1 , - 3)

b)

( - 1 , 3)

c)

( - 1 , - 3)

d)

(1 , 3)

2.

圓(x - 1)2 + (y - 3)2 = 2的圓心為何?

a)

(1 , - 3)

b)

( - 1 , 3)

c)

( - 1 , - 3)

d)

(1 , 3)

3.

圓(x - 1)2 + (y + 3)2 = 2的圓心為何?

a)

(1 , - 3)

b)

( - 1 , 3)

c)

( - 1 , - 3)

d)

(1 , 3)

4.

圓(x +1)2 + (y + 3)2 = 2的圓心為何?

a)

(1 , - 3)

b)

( - 1 , 3)

c)

( - 1 , - 3)

d)

(1 , 3)

5.

圓(x + 1)2 + (y - 3)2 = 2的半徑為何?

a)

1

b)

\sqrt{2}

c)

2

d)

4

6.

圓(x + 1)2 + (y - 3)2 = 4的半徑為何?

a)

1

b)

\sqrt{2}

c)

2

d)

4

7.

圓(x + 1)2 + (y - 3)2 = 1的半徑為何?

a)

1

b)

\sqrt{2}

c)

2

d)

4

8.

圓(x + 1)2 + (y - 3)2 = 16的半徑為何?

a)

1

b)

\sqrt{2}

c)

2

d)

4

9.

圓心(3 , - 5),半徑長為 3\sqrt{3}  的圓方程式為 ?

a)

 (x3)2+(y+5)2=3\left(x-3\right)^2+\left(y+5\right)^2=\sqrt{3}  

b)

 (x3)2+(y+5)2=3\left(x-3\right)^2+\left(y+5\right)^2=3  

c)

 (x3)2+(y+5)2=5\left(x-3\right)^2+\left(y+5\right)^2=5  

d)

 (x3)2+(y+5)2=25\left(x-3\right)^2+\left(y+5\right)^2=25  

10.

圓心(3 , - 5),半徑長為 55  的圓方程式為 ?

a)

 (x3)2+(y+5)2=3\left(x-3\right)^2+\left(y+5\right)^2=\sqrt{3}  

b)

 (x3)2+(y+5)2=3\left(x-3\right)^2+\left(y+5\right)^2=3  

c)

 (x3)2+(y+5)2=5\left(x-3\right)^2+\left(y+5\right)^2=5  

d)

 (x3)2+(y+5)2=25\left(x-3\right)^2+\left(y+5\right)^2=25  

11.

圓心(3 , 5),半徑長為 55  的圓方程式為 ?

a)

 (x+3)2+(y+5)2=25\left(x+3\right)^2+\left(y+5\right)^2=25  

b)

 (x3)2+(y5)2=25\left(x-3\right)^2+\left(y-5\right)^2=25  

c)

 (x+3)2+(y5)2=25\left(x+3\right)^2+\left(y-5\right)^2=25  

d)

 (x3)2+(y+5)2=25\left(x-3\right)^2+\left(y+5\right)^2=25  

12.

圓心(3 , - 5),半徑長為 33  的圓方程式為 ?

a)

 (x3)2+(y+5)2=3\left(x-3\right)^2+\left(y+5\right)^2=\sqrt{3}  

b)

 (x3)2+(y+5)2=3\left(x-3\right)^2+\left(y+5\right)^2=3  

c)

 (x3)2+(y+5)2=9\left(x-3\right)^2+\left(y+5\right)^2=9  

d)

 (x3)2+(y+5)2=25\left(x-3\right)^2+\left(y+5\right)^2=25  

13.

圓心(3 , -5),半徑長為 55  的圓方程式為 ?

a)

 (x+3)2+(y+5)2=25\left(x+3\right)^2+\left(y+5\right)^2=25  

b)

 (x3)2+(y5)2=25\left(x-3\right)^2+\left(y-5\right)^2=25  

c)

 (x+3)2+(y5)2=25\left(x+3\right)^2+\left(y-5\right)^2=25  

d)

 (x3)2+(y+5)2=25\left(x-3\right)^2+\left(y+5\right)^2=25  

14.

圓心( 3 ,  5 ),半徑長為 55  的圓方程式為 ?

a)

 (x+3)2+(y+5)2=25\left(x+3\right)^2+\left(y+5\right)^2=25  

b)

 (x3)2+(y5)2=25\left(x-3\right)^2+\left(y-5\right)^2=25  

c)

 (x+3)2+(y5)2=25\left(x+3\right)^2+\left(y-5\right)^2=25  

d)

 (x3)2+(y+5)2=25\left(x-3\right)^2+\left(y+5\right)^2=25  

15.

圓心(3 , - 5)且圓通過點(7 , - 2),則圓的半徑為?

a)

2

b)

3

c)

4

d)

5

16.

圓心為( - 3 , - 4)且此圓與x軸相切,則圓半徑為?

a)

2

b)

3

c)

4

d)

5

17.

圓心為( - 3 , - 4)且此圓與y軸相切,則圓半徑為?

a)

2

b)

3

c)

4

d)

5

18.

設P (1 , - 2)、Q ( - 3 , 1),則以 PQ\overline{PQ}  為直徑之圓半徑為?

a)

 52\frac{5}{2}  

b)

3

c)

4

d)

5

19.

圓心(3 , - 5)且圓通過點(7 , - 2),則圓方程式為 ?

a)

 (x+3)2+(y+5)2=25\left(x+3\right)^2+\left(y+5\right)^2=25  

b)

 (x3)2+(y5)2=25\left(x-3\right)^2+\left(y-5\right)^2=25  

c)

 (x+3)2+(y5)2=25\left(x+3\right)^2+\left(y-5\right)^2=25  

d)

 (x3)2+(y+5)2=25\left(x-3\right)^2+\left(y+5\right)^2=25  

20.

圓心(3 , - 5)且此圓與x軸相切,則圓方程式為 ?

a)

 (x3)2+(y+5)2=3\left(x-3\right)^2+\left(y+5\right)^2=3  

b)

 (x3)2+(y+5)2=9\left(x-3\right)^2+\left(y+5\right)^2=9  

c)

 (x3)2+(y+5)2=5\left(x-3\right)^2+\left(y+5\right)^2=5  

d)

 (x3)2+(y+5)2=25\left(x-3\right)^2+\left(y+5\right)^2=25