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3-1圓的方程式隨堂測驗一

Authored by 許逸菁 許逸菁

Mathematics

1st - 5th Grade

Used 7+ times

3-1圓的方程式隨堂測驗一
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

 x2+y2=9x^2+y^2=9  求該圓的半徑。

9

3

18

-3

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

 (x−3)2+(y+2)2=16\left(x-3\right)^2+\left(y+2\right)^2=16  試求該圓的圓心

(3,-2)

(-3,2)

(3,2)

(-3,-2)

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

草原上一隻牛在吃草,主人為了不讓牛跑太遠,將牛繫在一條長7公尺的繩子上,繩子的一端繫在座標(-4,3)的木樁上,試問:此圖形在坐標上的方程式為何?

(x+4)2+(y+3)2=7\left(x+4\right)^2+\left(y+3\right)^2=7

(x−4)2+(y+3)2=7\left(x-4\right)^2+\left(y+3\right)^2=7

(x−4)2+(y−3)2=49\left(x-4\right)^2+\left(y-3\right)^2=49

(x+4)2+(y−3)2=49\left(x+4\right)^2+\left(y-3\right)^2=49

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

設平面上兩點A(2,4)、B(4,-2),試求以AB為直徑的圓方程式。

(x+3)2+(y+1)2=20\left(x+3\right)^2+\left(y+1\right)^2=20

(x−1)2+(y+3)2=10\left(x-1\right)^2+\left(y+3\right)^2=10

(x−3)2+(y−1)2=10\left(x-3\right)^2+\left(y-1\right)^2=10

(x−1)2+(y+3)2=20\left(x-1\right)^2+\left(y+3\right)^2=20

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

 x2+y2−6x−4y−3=0x^2+y^2-6x-4y-3=0  試求圓的圓心

(-3,-2)

(3,2)

(-6,-4)

(6,4)

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

 x2+y2−6x−4y−3=0x^2+y^2-6x-4y-3=0  試求下列各圓的半徑:

1

2

3

4

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

試求下列各圓的圓心: 2x2+2y2−2x+6y−3=02x^2+2y^2-2x+6y-3=0  

 (1,−3)\left(1,-3\right)  

 (12,−32)\left(\frac{1}{2},-\frac{3}{2}\right)  

 (−12,32)\left(-\frac{1}{2},\frac{3}{2}\right)  

 (−1,3)\left(-1,3\right)  

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