下列命题正确的是( )
某几何体的三视图如图所示,则该几何体的体积是( )
3 2
3
3 2 2
已知非零向量 a ⃗ , b ⃗ , c ⃗ ,则" a ⃗ ⋅ c ⃗ = b ⃗ ⋅ c ⃗ "是" a ⃗ = b ⃗ "的( )
充分不必要条件
必要不充分条件
充分必要条件
既不充分又不必要条件
已知 a ∈ R , 1 + ai i = 3 + i ,( i为虚数单位),则 a = ( )
- 1
1
- 3
设集合 A = x x ≥ 1 , B = x - 1 < x < 2 ,则 A ∩ B = ( )
x x > - 1
x x ≥ 1
x - 1 < x < 1
x 1 ≤ x < 2
设正整数 n = a 0 ⋅ 2 0 + a 1 ⋅ 2 1 + a 2 ⋅ 2 2 ⋯ + a k - 1 ⋅ 2 k - 1 + a k ⋅ 2 k ,其中 a i ∈ 0 , 1 ,记 ω n = a 0 + a 1 + ⋯ + a k .则( )
ω 2 n = ω n
ω 2 n + 3 = ω n + 1
ω 8 n + 5 = ω 4 n + 3
ω 2 n - 1 = n