四面体 ABCD 中有 AB=5、AC=3、BC=4、BD=4、AD=3 和 CD=125√2. 四面体的体积是多少?( ) A. 3√2 B. 2√5 C. 245 D. 3√3 E. 245√2 相关知识点: 试题来源: 解析 C Let the midpoint of CD be E. We have CE=65√2, and so by the Pythagorean. Theorem AE=√1535 ...
Tetrahedron ABCD has AB=5,AC=3,BC=4,BD=4,AD=3 and CD=125√2. What is the volume of the
Because the altitude from A of tetrahedron ABCD passes touches plane BCD on BE, it is also an altitude of triangle ABE. The area A of triangle ABE is, by Heron's Formula, given by 16A2=2a2b2+2b2c2+2c2a2−a4−b4−c4=−(a2+b2−c2)2+4a2b2.Substituting a=AE, b...
AD=3, and CD=125√2. What is the volume of the tetrahedron?( ) 四面体 ABCD 中有AB=5、AC=3、BC=4、BD=4、AD=3 和CD=125√2. 四面体的体积是多少?( ) A.3√2 B.2√5 C.245 D.3√3 E.245√2相关知识点: 试题来源: 解析 C Let the midpoint of CD be E. We have CE...
Tetrahedron ABCD has AB=5, AC=3, BC=4, BD=4, AD=3, and CD=125√2. What is the volume of the tetrahedron?( ) A.3√2 B.2√5 C.245 D.3√3 E.245√2 相关知识点: 试题来源: 解析 C 结果一 题目 Tetrahedron ABCD has AB=5, AC=3, BC=4, BD=4, AD=3, and CD=125√2....
结果1 题目2015−AMC12A−16 Tetrahedron ABCD has AB=5, AC=3, BC=4, BD=4, AD=3, and CD=125√2. What is the volume of the tetrahedron?( )A. 3√2 B. 2√5 C. 245 D. 3√3 E. 245√2 相关知识点: 试题来源: 解析 C ...