设z是复数,a(z)表示满足z*n=1的最小正整数n,则对虚数单位i,a(i)= A.8 B.6 C.4 D.2
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![设z是复数,a(z)表示满足z*n=1的最小正整数n,则对虚数单位i,a(i)= A.8 B.6 C.4 D.2](/uploads/image/z/2569610-2-0.jpg?t=%E8%AE%BEz%E6%98%AF%E5%A4%8D%E6%95%B0%2Ca%28z%29%E8%A1%A8%E7%A4%BA%E6%BB%A1%E8%B6%B3z%2An%3D1%E7%9A%84%E6%9C%80%E5%B0%8F%E6%AD%A3%E6%95%B4%E6%95%B0n%2C%E5%88%99%E5%AF%B9%E8%99%9A%E6%95%B0%E5%8D%95%E4%BD%8Di%2Ca%28i%29%3D+A.8+B.6+C.4+D.2)
设z是复数,a(z)表示满足z*n=1的最小正整数n,则对虚数单位i,a(i)= A.8 B.6 C.4 D.2
设z是复数,a(z)表示满足z*n=1的最小正整数n,则对虚数单位i,a(i)= A.8 B.6 C.4 D.2
设z是复数,a(z)表示满足z*n=1的最小正整数n,则对虚数单位i,a(i)= A.8 B.6 C.4 D.2
a(z)表示满足z^n=1的最小正整数n
i^2=-1,i^3=-i,i^4=1
所以a(i)=4
即选C