Enter

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Ente r To show the dynamic figures pr operly, the evaluation version of Cabri 3D (V2.0 or above) mu st be installed.

description

Exercise: The projection of a line on a plane. To show the dynamic figures properly, the evaluation version of Cabri 3D (V2.0 or above) must be installed. Enter. There are 17 multiple choice questions. Click the letter to answer. Enter. - PowerPoint PPT Presentation

Transcript of Enter

Page 1: Enter

Enter

To show the dynamic figures properly, the evaluation version of Cabri 3D (V2.0 or abov

e) must be installed.

Page 2: Enter

There are 17 multiple choice questions. Click the letter to answer.

Enter

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1. (Hold down the right mouse button and drag to change the view angle.)

ABCDEFGH is a cuboid. Find the projection of DG on the plane ABCD.

A BC

B BD

C BG

D AD

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1. Incorrect! Hint: Click and right-button drag the figure to change the view angle. What is the foot of perpendicular from G to the plane ABCD?

Back

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1. Correct!

Next

The projection of DG on the plane ABCD is BD. (Click and

right-button drag the figure to change the view angle. )

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ABCDEFGH is a cuboid. Find the projection of DG on the

plane ADEF.

B DE

C DF

A FG

D AD

2. (Hold down the right mouse button and drag to change the view angle.)

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2. Incorrect!Hint: Click and right-button drag the figure to change the

view angle. What is the foot of perpendicular from G to the plane ADEF?

Back

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2. Correct!

Next

The projection of DG on the plane ADEF is DF. (Click and

right-button drag the figure to change the view angle. )

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ABCD is a square, VO is the altitude of the pyramid. Find the projection of VB on ABCD.

B BD

C BC

A OB

D AB

3. (Hold down the right mouse button and drag to change the view angle.)

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3. Incorrect!Hint: Click and right-button drag the figure to change the

view angle. What is the foot of perpendicular from V to the plane ABCD?

Back

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3. Correct!

Next

The projection of VB on the plane ABCD is OB. (Click and

right-button drag the figure to change the view angle. )

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B BM

C CM

A AM

D OM

4. (Hold down the right mouse button and drag to change the view angle.)

ABCD is a square, M is the mid-point of BC, and VO is the altitude of the pyramid. Find the projection of VM on the plane ABCD.

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4. Incorrect!Hint: Click and right-button drag the figure to change the

view angle. What is the foot of perpendicular from V to the plane ABCD?

Back

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4. Correct!

Next

The projection of VM on the plane ABCD is OM. (Click and

right-button drag the figure to change the view angle. )

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OABC is a triangular pyramid, AOB = 90 and CO is the altitude. Find the projection of AC on the plane OAB.

B OA

C OB

A AB

D OC

5. (Hold down the right mouse button and drag to change the view angle.)

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5. Incorrect!Hint: Click and right-button drag the figure to change the

view angle. What is the foot of perpendicular from C to the plane OAB?

Back

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5. Correct!

Next

The projection of AC on the plane OAB is OA. (Click and right-

button drag the figure to change the view angle. )

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B PA

C PB

A OP

D OC

6. (Hold down the right mouse button and drag to change the view angle.)

OABC is a triangular pyramid, AOB = 90 and CO is the altitude. P is a point on AB. Find the projection of AC on the plane OAB.

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6. Incorrect!Hint: Click and right-button drag the figure to change the

view angle. What is the foot of perpendicular from C to the plane OAB?

Back

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6. Correct!

Next

The projection of CP on the plane OAB is OP. (Click and right-

button drag the figure to change the view angle. )

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B OA

C OB

A AB

D OC

7. (Hold down the right mouse button and drag to change the view angle.)

OABC is a triangular pyramid, AOB = 90 and CO is the altitude. Find the projection of AC on the plane OBC.

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7. Incorrect!

Hint: Click and right-button drag the figure to change the

view angle. What is the foot of perpendicular from A to the plane OBC?

Back

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7. Correct!

Next

The projection of AC on the plane OBC is OC. (Click and right-

button drag the figure to change the view angle. )

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ABCDEF is a triangular prism, in which ABCD and CDEF are rectangles, BCF = 90 . Find the projection of AE on the plane ABCD.

B AB

C DE

A AD

D CD

8. (Hold down the right mouse button and drag to change the view angle.)

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8. Incorrect!Hint: Click and right-button drag the figure to change the

view angle. What is the foot of perpendicular from E to the plane ABCD?

Back

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8. Correct!

Next

The projection of AE on the plane ABCD is AD. (Click and

right-button drag the figure to change the view angle. )

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B AB

C DE

A AD

D CD

9. (Hold down the right mouse button and drag to change the view angle.)

ABCDEF is a triangular prism, in which ABCD and CDEF are rectangles, BCF = 90 . Find the projection of AE on the plane CDEF.

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9. Incorrect!Hint: Click and right-button drag the figure to change the

view angle. What is the foot of perpendicular from A to the plane CDEF?

Back

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9. Correct!

Next

The projection of AE on the plane CDEF is AC. (Click and

right-button drag the figure to change the view angle. )

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B AC

C BF

A AB

D FC

10. (Hold down the right mouse button and drag to change the view angle.)

ABCDEF is a triangular prism, in which ABCD and CDEF are rectangles, BCF = 90 . Find the projection of AF on the plane ABCD.

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10. Incorrect!Hint: Click and right-button drag the figure to change the

view angle. What is the foot of perpendicular from F to the plane ABCD?

Back

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10. Correct!

Next

The projection of AF on the plane ABCD is AC. (Click and

right-button drag the figure to change the view angle. )

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B DE

C DF

A EF

D FC

11. (Hold down the right mouse button and drag to change the view angle.)

ABCDEF is a triangular prism, in which ABCD and CDEF are rectangles, BCF = 90 . Find the projection of AF on the plane CDEF.

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11. Incorrect!Hint: Click and right-button drag the figure to change the

view angle. What is the foot of perpendicular from A to the plane CDEF?

Back

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11. Correct!

Next

The projection of AF on the plane CDEF is DF. (Click and

right-button drag the figure to change the view angle. )

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B AD

C AE

A EF

D ED

12. (Hold down the right mouse button and drag to change the view angle.)

ABCDEF is a triangular prism, in which ABCD and CDEF are rectangles, BCF = 90. Find the projection of AF on the plane ADE.

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12. Incorrect!Hint: Click and right-button drag the figure to change the

view angle. What is the foot of perpendicular from F to the plane ADE?

Back

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12. Correct!

Next

The projection of AF on the plane ADE is AE. (Click and right-

button drag the figure to change the view angle. )

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VABCD is a rectangular pyramid, ABCD is a rectangle, and VD is the altitude. Find the projection of VC on the plane ABCD.

B AC

C CD

A AB

D VD

13. (Hold down the right mouse button and drag to change the view angle.)

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13. Incorrect!Hint: Click and right-button drag the figure to change the

view angle. What is the foot of perpendicular from V to the plane ABCD?

Back

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13. Correct!

Next

The projection of VC on the plane ABCD is CD. (Click and

right-button drag the figure to change the view angle. )

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B BC

C BD

A AB

D VD

14. (Hold down the right mouse button and drag to change the view angle.)

VABCD is a rectangular pyramid, ABCD is a rectangle, and VD is the altitude. Find the projection of VB on the plane ABCD.

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14. Incorrect!Hint: Click and right-button drag the figure to change the

view angle. What is the foot of perpendicular from V to the plane ABCD?

Back

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14. Correct!

Next

The projection of VB on the plane ABCD is BD. (Click and

right-button drag the figure to change the view angle. )

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B VB

C VD

A VA

D CD

15. (Hold down the right mouse button and drag to change the view angle.)

VABCD is a rectangular pyramid, ABCD is a rectangle, and VD is the altitude. Find the projection of VC on the plane VAD.

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15. Incorrect!Hint: Click and right-button drag the figure to change the

view angle. What is the foot of perpendicular from C to the plane VAD?

Back

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15. Correct!

Next

The projection of VC on the plane VAD is VD. (Click and right-

button drag the figure to change the view angle. )

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B VC

C VD

A VA

D BD

16. (Hold down the right mouse button and drag to change the view angle.)

VABCD is a rectangular pyramid, ABCD is a rectangle, and VD is the altitude. Find the projection of VB on the plane VAD.

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16. Incorrect!Hint: Click and right-button drag the figure to change the

view angle. What is the foot of perpendicular from B to the plane VAD?

Back

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16. Correct!

Next

The projection of VB on the plane VAD is VA. (Click and right-

button drag the figure to change the view angle. )

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B VC

C VD

A VA

D CD

17. (Hold down the right mouse button and drag to change the view angle.)

VABCD is a rectangular pyramid, ABCD is a rectangle, and VD is the altitude. Find the projection of VB on the plane VCD.

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17. Incorrect!Hint: Click and right-button drag the figure to change the

view angle. What is the foot of perpendicular from B to the plane VCD?

Back

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17. Correct!

EndRestart

The projection of VB on the plane VCD is VC. (Click and right-

button drag the figure to change the view angle. )