Given that ABCD is a rectangle, ab = a, ad = B, PA ⊥ plane ABC, PA = C, then the distance from P to BC is? And the distance from P to BD is?
The distance from P to BC is Pb
Do AE ⊥ BD through a, find AE, and then the distance from P to BD is PE
It's probably called the three perpendicular theorem
You can also build a space rectangular coordinate system
RELATED INFORMATIONS
- 1. Given that PA is perpendicular to the plane of rectangle ABCD, and ab = a, ad = B, PA = 2c, find the distance from the midpoint Q of PA to the straight line BD
- 2. PA is perpendicular to the plane of rectangle ABCD, and ab = 3cm, ad = 4cm, PA = 6 / 5 root 21cm. Calculate the distance from point P to BC and BD respectively
- 3. Given that PA is perpendicular to the plane of rectangle ABCD, AB is equal to four, BC is equal to three, PA is equal to one, the distance from P to straight line BD is
- 4. How many planes are equal to the four vertices of the space quadrilateral ABCD?
- 5. Find a point O in the quadrilateral ABCD to minimize the sum of the distances between it and the four vertices of the quadrilateral, and please give your reasons It's best to draw a picture to illustrate!
- 6. In the cube abcd-a1b1c1d1 with edge length 1, (1) find the distance from point a to plane BD1; (2) find the distance from point A1 to plane ab1d1; (3) find the distance between plane ab1d1 and plane BC1D; (4) find the distance from line AB to cda1b1
- 7. The edge length of cube abcd-a'b'c'd 'is 1. Find the distance from point C to plane c'bd
- 8. The triangle ABCD is a square, PD ⊥ face ABCD, PD = PC, e is the midpoint of PC,
- 9. As shown in the figure, the quadrilateral ABCD is a square, PD ⊥ plane ABCD, EC ∥ PD, and PD = 2ec. (I) prove: plane PBE ⊥ plane PBD; (II) if the dihedral angle p-ab-d is 45 °, find the sine value of the angle between the straight line PA and the plane PBE
- 10. The diamond ABCD is on the plane a, PA is perpendicular to a, and PC is perpendicular to BD
- 11. Given that ABCD is a rectangle, ab = a, ad = B, PA ⊥ plane ABC, PA = C, then the distance from point P to BC and BD is How to find two distances?
- 12. Through the vertex a of square ABCD, do PA ⊥ plane ABCD, PA = AB = 1, find the dihedral angle formed by plane APB and plane cpd
- 13. If the vertex a of the square ABCD passes through the line AP ⊥ plane ABCD, and AP = AB, then the degree of the dihedral angle formed by the plane ABP and the plane CDP is If you do well, you can pay me a picture, because I don't know how to draw a plane CDP
- 14. If the vertex a of the square ABCD passes through the AP vertical plane ABCD and AP = AB, then the degree of the dihedral angle between the plane ABP and the plane DCP is Draw a picture
- 15. If the line AP is perpendicular to the plane ABCD through the vertex a of the square ABCD, and AP = AB, then what is the dihedral angle between the plane ABP and the plane CDP? (Figure)
- 16. Given that PA ⊥ square ABCD, if AB = PA, then the dihedral angle of plane PAB and plane PCD is
- 17. Through the vertex a of the square ABCD, make the line PA ⊥ plane ABC, and PA = Pb, then the degree of the sharp dihedral angle formed by plane ABC and plane PCD is? Sorry, wrong number. It's not pa = Pb, it's PA = ab
- 18. PA is perpendicular to the plane of the square ABCD with side length a, PA = a, then the size of the dihedral angle b-pc-d is It needs a rough process
- 19. If the bottom of p-abcd is a parallelogram, the bottom of PA ⊥ is ABCD, the point E is on the side edge PC, and PE = 13pc, then VP − bdevp − ABCD=______ .
- 20. The bottom of p-abcd is a parallelogram, the bottom of PA ⊥ is ABCD, e is a point on PA, and the section of PC ∥ is BDE Find the volume ratio of the two parts of the pyramid p-abcd divided by the section BDE