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F.5 CH8 軌跡 Quiz

Authored by 蕭宇倫先生 Xiao Alan

Mathematics

9th - 12th Grade

F.5 CH8 軌跡 Quiz
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14 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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在圖中,A(0,2)是y軸上的一點。移動點P(x,y)與點A保持固定距離1。求P的軌跡方程。

x2+y2−4y+5=0x^2+y^2-4y+5=0

x2+(y−2)2=1x^2+\left(y-2\right)^2=1

x2+(y+2)2=1x^2+\left(y+2\right)^2=1

x2+y2+4y+5=0x^2+y^2+4y+5=0

2.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

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在圖中,A(6,0)和B(0,9)是直角坐標平面上的兩點。移動點P(x,y)與點A和B保持相等距離,即PA=PB。求P的軌跡方程。

(a)  

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

在圖中,A(0,2)是y軸上的一點。移動點P(x,y)與點A和軸x保持相等距離。求P的軌跡方程。

x2−4y+4=0x^2-4y+4=0

x2−4x+4=0x^2-4x+4=0

x2+4y+4=0x^2+4y+4=0

x2+4x+4=0x^2+4x+4=0

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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在圖中,A(0,2)是y軸上的一點。移動點P(x,y)與點A和軸x保持相等距離。是否的軌跡上的一點?

x2−4y+4=0x^2-4y+4=0

x2−4x+4=0x^2-4x+4=0

x2+4y+4=0x^2+4y+4=0

x2+4x+4=0x^2+4x+4=0

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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在圖中,A(0,2)是y軸上的一點。移動點P(x,y)與點A和軸x保持相等距離。R(-4,5)是否P的軌跡上的一點?

是

否

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

在圖中,A(1,3)和B(7,3)是直角坐標平面上的兩點。點P(x,y)移動時保持 PA⊥PBPA\perp PB 。求P的軌跡方程。

x2+y2+8x+6y+16=0x^2+y^2+8x+6y+16=0

x2+y2−8x+6y+16=0x^2+y^2-8x+6y+16=0

x2+y2+8x−6y−16=0x^2+y^2+8x-6y-16=0

x2+y2−8x−6y+16=0x^2+y^2-8x-6y+16=0

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

在圖中,A(1,3)和B(7,3)是直角坐標平面上的兩點。點P(x,y)移動時保持 PA⊥PBPA\perp PB 。試描述P的軌跡。

圓

直線

拋物線

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