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Exercise: The angle between a line and 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.

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  1. Exercise: The angle between a line and a plane To show the dynamic figures properly, the evaluation version of Cabri 3D (V2.0 or above) must be installed. Enter

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

  3. 1. (Hold down the right mouse button and drag to change the view angle.) ABCDEFGH is a cuboid. Find the angle between DG and the plane ABCD. A ADG B BDG C BGD D CDG

  4. 1.Incorrect! Hint: Click and right-button drag the figure to change the view angle. Find the angle between DG and the plane ABCD. Back

  5. 1.Correct! The angle between DG and the plane ABCD is BDG. (Hint: Click and right-button drag the figure to change the view angle.) Next

  6. 2. (Hold down the right mouse button and drag to change the view angle.) ABCDEFGH is a cuboid. Find the angle between DG and the plane ADEF. ABDG B EDG C FDG D ADG

  7. 2.Incorrect! Hint: Click and right-button drag the figure to change the view angle. Find the angle between DG and the plane ADEF. Back

  8. 2.Correct! The angle between DG and the plane ADEFis FDG. (Hint: Click and right-button drag the figure to change the view angle.) Next

  9. 3. (Hold down the right mouse button and drag to change the view angle.) ABCD is a square, VO is the altitude of the pyramid. Find the angle between VB and the plane ABCD. A OBV B OVB C CBV D ABV

  10. 3.Incorrect! Hint: Click and right-button drag the figure to change the view angle. Find the angle between VB and the plane ABCD. Back

  11. 3.Correct! The angle betweenVB and the plane ABCD is  OBV. (Hint: Click and right-button drag the figure to change the view angle.) Next

  12. 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 , VO is the altitude of the pyramid. Find the angle between VM and the plane ABCD. A AMV B  BMV C  DMV D OMV

  13. 4.Incorrect！ Hint: Click and right-button drag the figure to change the view angle.Find the angle between VM and the plane ABCD. Back

  14. 4. Correct! The angle between VM and the planeABCD is  OMV. (Hint: Click and right-button drag the figure to change the view angle.) Next

  15. 5. (Hold down the right mouse button and drag to change the view angle.) OABC is a triangular pyramid, AOB = 90，CO is the altitude. Find the angle between AC and the plane OAB. A OCA B  OAC C  ABC D BAC

  16. 5.Incorrect！ Hint: Click and right-button drag the figure to change the view angle. Find the angle between AC and the plane OAB. Back

  17. 5.Correct！ The angle between AC and the plane OAB is  OAC . (Hint: Click and right-button drag the figure to change the view angle.) Next

  18. 6. (Hold down the right mouse button and drag to change the view angle.) OABC is a triangular pyramid, AOB = 90，CO is the altitude, P is a point on AB. Find the angle between CP and the plane OAB . A OPC B  OCP C  OAC D OBC

  19. 6.Incorrect！ Hint: Click and right-button drag the figure to change the view angle.Find the angle between CP and the plane OAB. Back

  20. 6.Correct！ The angle between CP and the plane OAB is  OPC . (Hint: Click and right-button drag the figure to change the view angle.) Next

  21. 7. (Hold down the right mouse button and drag to change the view angle.) OABC is a triangular pyramid, AOB = 90，CO is the altitude. Find the angle between CA and the plane OBC. A BCA B  OBA C  OAC D OCA

  22. 7.Incorrect！ Hint: Click and right-button drag the figure to change the view angle. Find the angle between CA and the plane OBC. Back

  23. 7.Correct！ The angle between CA and the plane OBC is  OCA . (Hint: Click and right-button drag the figure to change the view angle.) Next

  24. 8. (Hold down the right mouse button and drag to change the view angle.) ABCDEF is a triangular prism, ABCD and CDEF are rectangles, BCF = 90. Find the angle between AE and the plane ABCD. A DAE B  AED C  BAE D CAE

  25. 8.Incorrect！ Hint: Click and right-button drag the figure to change the view angle. Find the angle between AE and the plane ABCD. Back

  26. 8.Correct！ The angle between AE and the plane ABCD is  DAE. (Hint: Click and right-button drag the figure to change the view angle.) Next

  27. 9. (Hold down the right mouse button and drag to change the view angle.) ABCDEF is a triangular prism, ABCD and CDEF are rectangles, BCF = 90. Find the angle between AE and the plane CDEF. A AEB B  DAE C  AED D ADE

  28. 9.Incorrect！ Hint: Click and right-button drag the figure to change the view angle. Find the angle between AE and the plane CDEF. Back

  29. 9.Correct！ The angle between AE and the plane CDEF is AED. (Hint: Click and right-button drag the figure to change the view angle.) Next

  30. 10. (Hold down the right mouse button and drag to change the view angle.) ABCDEF is a triangular prism, ABCD and CDEF are rectangles, BCF = 90. Find the angle between AF and the plane ABCD. A CFA B  CAF C  BAF D DAF

  31. 10.Incorrect！ Hint: Click and right-button drag the figure to change the view angle. Find the angle between AF and the plane ABCD. Back

  32. 10.Correct！ The angle between AF and the plane ABCD is  CAF . (Hint: Click and right-button drag the figure to change the view angle.) Next

  33. 11.( Hold down the right mouse button and drag to change the view angle.) ABCDEF is a triangular prism, ABCD and CDEF are rectangles, BCF = 90. Find the angle between AF and the plane CDEF. A AFB B  AFE C  AFC D  AFD

  34. 11.Incorrect！ Hint: Click and right-button drag the figure to change the view angle.Find the angle between AF and the plane CDEF. Back

  35. 11. Correct！ The angle between AF and CDEF is  AFD . (Hint: Click and right-button drag the figure to change the view angle.) Next

  36. 12. (Hold down the right mouse button and drag to change the view angle.) ABCDEF is a triangular prism, ABCD and CDEF are rectangles, BCF = 90. Find the angle between AF and the plane ADE. A FAC B  FAD C  FAE D AFE

  37. 12.Incorrect！ Hint: Click and right-button drag the figure to change the view angle. Find the angle between AF and the plane ADE. Back

  38. 12. Correct！ The angle between AF and the plane ADE is  FAE . (Hint: Click and right-button drag the figure to change the view angle.) Next

  39. 13. (Hold down the right mouse button and drag to change the view angle.) VABCD is a rectangular pyramid, ABCD is a rectangle, VD is the altitude. Find the angle between VC and the plane ABCD. A VCA B  VCB C  VCD D  CVD

  40. 13.Incorrect！ Hint: Click and right-button drag the figure to change the view angle. Find the angle between VC and the plane ABCD. Back

  41. 13.Correct！ The angle between VC and the plane ABCD is  VCD . (Hint: Click and right-button drag the figure to change the view angle.) Next

  42. 14. (Hold down the right mouse button and drag to change the view angle.) VABCD is a rectangular pyramid, ABCD is a rectangle, VD is the altitude. Find the angle between VB and the plane ABCD. A VAB B  VBC C  VBD D  BVD

  43. 14.Incorrect！ Hint: Click and right-button drag the figure to change the view angle. Find the angle between VB and the plane ABCD. Back

  44. 14.Correct！ The angle between VB and the plane ABCD is  VBD . (Hint: Click and right-button drag the figure to change the view angle.) Next

  45. 15. (Hold down the right mouse button and drag to change the view angle.) VABCD is a rectangular pyramid, ABCD is a rectangle, VD is the altitude. Find the angle between VC and the plane VAD. A VCA B  VCB C  VCD D  CVD

  46. 15.Incorrect！ Hint: Click and right-button drag the figure to change the view angle. Find the angle between VC and the plane VAD. Back

  47. 15.Correct！ The angle between VC and the plane VAD is  CVD . (Hint: Click and right-button drag the figure to change the view angle.) Next

  48. 16 . (Hold down the right mouse button and drag to change the view angle.) VABCD is a rectangular pyramid, ABCD is a rectangle, VD is the altitude. Find the angle between VB and the plane VAD. A AVB B  BVD C  ABV D DBV

  49. 16.Incorrect！ Hint: Click and right-button drag the figure to change the view angle. Find the angle between VB and the plane VAD. Back

  50. 16.Correct！ The angle between VB and the plane VAD is  AVB . (Hint: Click and right-button drag the figure to change the view angle.) Next

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