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If the side length of diamond ABCD is 5cm and one diagonal is 6cm, the area of diamond ABCD is 5cm___ cm2．
Because the diagonals of the diamond are perpendicular to each other, according to the Pythagorean theorem, if half of the other diagonal is 4cm, then the length of the other diagonal is 8cm, then the area of the diamond ABCD is 6 × 8 △ 2 = 24cm2
The height of the straight prism with diamond bottom is 12cm, and the length of the diagonal of the two bodies is 15cm and 20cm respectively
Find the side length of the bottom surface is ()
Because the length of the two diagonals is 15 and 20 respectively, and the height is 12, the length of the two diagonals on the bottom is 9 and 16 according to Pythagorean theorem. Because the diagonals of the diamond are perpendicular to each other, the side length of the diamond is (radical 145) / 2 according to Pythagorean theorem
The bottom is a prismatic prism, its side edges are perpendicular to the bottom, and the length of the side edges is 5cm, its diagonal length is 9cm and 15cm respectively, then the side area of the prism is
Because his diagonals are 9 and 15, and the diagonals of the diamond are perpendicular to each other, the side length of the ground diamond is 4.5x4.5 + 7.5x7.5 under the root sign, and the side area of 76.5 prism is 4 times of that of one side, so the side area is 76.5 under the root sign 4x5x
RELATED INFORMATIONS
- 1. A prism whose side edge is perpendicular to the bottom is called a straight prism. It is known that the bottom is a rhombic straight prism. Its volume diagonals are 9 and 15 respectively, and its height is 5
- 2. A prism whose side edge is perpendicular to the bottom is called a straight prism. It is known that the bottom is a rhombic straight prism. Its volume diagonals are 9 and 15 respectively, and its height is 5
- 3. The bottom surface of straight quadrangular prism ABCD --- a1b1c1d1 with height of 1 is a diamond with area of 2 The area sum of BDD 1B1 is 5, and the bottom edge length of the straight quadrangular prism is calculated
- 4. As shown in the figure, in the quadrilateral ABCD and the quadrilateral a1b1c1d1, if AB = A1B1, BC = b1c1, CD = c1d1, Da = d1a1, are the two quadrilateral congruent 1. XiaoCong's idea: connect diagonal AC and a1c1 respectively. If AC = a1c1, then The two quadrangles are congruent. According to Xiao Cong's idea, write the reasoning process 2. The teacher said that under the condition that the four sides of the quadrilateral are equal, Xiao Cong Add a condition - diagonal AC = a1c1, you can show congruence Please add another condition (except diagonal) to explain the congruence of the two quadrangles and write down your thinking process
- 5. In the cube abcd-a1b1c1d1 with edge length of 2, e is the midpoint of edge AB, and point P is in plane a1b1c1d1. If d1p ⊥ plane PCE, try to find the direction of line d1p My answer is 4 root 5 / 5 is correct?
- 6. It is known that the parallelepiped abcd-a'b'c'd ', e, F, G and H are the midpoint of edges a'd', d'c ', c'c and ab respectively. It is proved that e, F, G, h are coplanar
- 7. As shown in the figure, in the cube abcd-a1b1c1d1, if e and F are the midpoint of A1B1 and b1c1 respectively, then the angle between AD1 and EF is______ ．
- 8. In the cube abcd-a1b1c1d1, the cosine of the dihedral angle formed by plane a1bd and plane c1bd is () A. 12B. 13C. 32D. 33
- 9. In the cuboid abcd-a'b'c'd ', P and R are the moving points on BB' and CC ', respectively. When P and R satisfy what conditions, PR is parallel to the plane ab'd
- 10. As shown in the figure, in the cube abcd-a1b1c1d1, the tangent of the dihedral angle b-a1c1-b1 is___ ．
- 11. In the cube abcd-a1b1c1d1 each vertex and each edge midpoint total 20 points, take any 2 points to form a straight line, take any one of these straight lines, the probability that it is perpendicular to the diagonal BD1 is () A. 21166B. 21190C. 18190D. 27166
- 12. As shown in the figure, the edge length of cube abcd-a1b1c1d1 is 4, M is the midpoint of BD1, n is on a1c1, and | A1N | = 3 | NC1 |, then the length of Mn is___ ．
- 13. The area of square ABCD is 200 square centimeters. Find the area of inscribed circle (π = 3.14)
- 14. As shown in the figure, P is a point on the diagonal BD of square ABCD
- 15. As shown in the figure, in the cube abcd-a1, B1, C1, D1 (1) Write the edges with point B as the endpoint respectively; (2) If an ant wants to climb from point a to vertex B, how can it get the shortest route? Why? (3) What if point a crawls along the surface to point C1?
- 16. In the cube abcd-a1b1c1d1, e, F and G are the midpoint of A1B1, b1c1 and B1B respectively
- 17. How can excel quickly classify ABCD in order of AA BB CC DD? Using Excel to sort~ For example: Data a: 123456 B：645679 C：456464 A：123455 B：668877 C：321457 . How to arrange for A: A: . B: B: . C: C: . This format. Please be more detailed
- 18. The parallelogram ABCD is known. The straight line FH intersects AB and CD. Through a, B, C and D, the perpendicular lines of FH are made. The perpendicular feet are e, h, G and F. verification: ae-df = cg-bh
- 19. As shown in the figure, the distance between a and B on the railway is 25km, C and D are two villages, Da ⊥ AB is in a, CB ⊥ AB is in B, known Da = 15km, CB = 10km, now we need to build a local product acquisition station E on the railway AB, so that the distance between C and D villages and E station is equal, then how many kilometers should e station be built from a station?
- 20. The distance between a and B is 25km. C and D are two villages. Da ⊥ AB is in a and CB ⊥ AB is in B. Da = 15km and CB = 10km are known. The distance between two villages can be calculated Note C and D are not on the same side, they are on both sides of the railway. The distance of CD is actually the total length of the hypotenuse of two small right triangles.