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[单选题]
对虚数单位i,有()
A.i⁴ⁿ=1,n∈Z
B.i⁴ⁿ⁺¹=i,n∈Z
C.i⁴ⁿ⁺²=-1,n∈Z
D.iⁿ+iⁿ⁺¹+iⁿ⁺²+Iⁿ⁺³=0,n∈Z
E.iⁿiⁿ⁺¹iⁿ⁺²Iⁿ⁺³=1,n∈Z
F.i⁴ⁿ⁺³=-i,n∈Z
![](https://static.youtibao.com/asksite/comm/h5/images/m_q_a.png)
F、i⁴ⁿ⁺³=-i,n∈Z
![](https://static.youtibao.com/asksite/comm/h5/images/solist_ts.png)
A.i⁴ⁿ=1,n∈Z
B.i⁴ⁿ⁺¹=i,n∈Z
C.i⁴ⁿ⁺²=-1,n∈Z
D.iⁿ+iⁿ⁺¹+iⁿ⁺²+Iⁿ⁺³=0,n∈Z
E.iⁿiⁿ⁺¹iⁿ⁺²Iⁿ⁺³=1,n∈Z
F.i⁴ⁿ⁺³=-i,n∈Z
F、i⁴ⁿ⁺³=-i,n∈Z
i为虚数单位,则(2—3i)(3+2i)=()
A.12-13i
B.-5i
C.12+5i
D.12-5i
已知复数x=1+i,i为虚数单位,则z2=()
A.2i
B.-2i
C.2+2i
D.2-2i
设z=[sin(2π/3)+icos(2π/3)]2,i是虚数单位,则argz等于 ()
A.π/3
B.2π/3
D.4π/3
D.5π/3
设α1,α2,···,αn是n维欧氏空向Rn的一组基。证明:
(1)若γ∈Rn,有(γ,αi)=0,i=1,2,...,n,则γ是零向量;
(2)若γ1,γ2∈Rn,使对Rn中任意向量α,均有<γ1,α>=<γ2,α>,那么γ1=γ2。