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จำนวนเชิงซ้อน 2

Authored by Kwanjai Ngajua

Mathematics

11th Grade

Used 12+ times

จำนวนเชิงซ้อน 2
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20 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 ค่าของ {(3+4i)(2+23i)86i}8\left|\left\{\frac{\left(-3+4i\right)\left(2+2\sqrt{3}i\right)}{8-6i}\right\}^8\right|  คือข้อใด

16

81

256

625

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 ถ้า r(cos2θ+isin2θ)=2+23ir\left(\cos2\theta+i\sin2\theta\right)=2+2\sqrt{3}i  แล้ว    r,θr,\theta  คือข้อใด เมื่อ  0<θ<2π0<\theta<2\pi  

 2 , 60°2\ ,\ 60\degree  

 2 , 30°2\ ,\ 30\degree  

 4 , 60°4\ ,\ 60\degree  

 4 , 30°4\ ,\ 30\degree  

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 52(cos225°+isin225°)5\sqrt{2}\left(\cos225\degree+i\sin225\degree\right)  เป็นรูป   เชิงขั้วของจำนวนเชิงซ้อนใด

5 + 5i

-5 - 5i 

-5 + 5i

5 - 5i

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 (1i1+i)100 \left(\frac{1-i}{1+i}\right)^{100}\ มีค่าตรงกับข้อใด  

1

-1

1 + i

1 - i

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 {2(cos144°+isin144°)}×\left\{2\left(\cos144\degree+i\sin144\degree\right)\right\}\times  

 {3(cos66°+isin66°)}\left\{3\left(\cos66\degree+i\sin66\degree\right)\right\}  
มีค่าตรงกับข้อใด

 33+3i-3\sqrt{3}+3i  

 333i-3-3\sqrt{3}i  

 3+33i-3+3\sqrt{3}i  

 333i-3\sqrt{3}-3i  

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 10(cos98°+isin98°)2(cos38°+isin38°)\frac{10\left(\cos98\degree+i\sin98\degree\right)}{2\left(\cos38\degree+i\sin38\degree\right)}  มีค่าเท่าไร

 52+53i2\frac{5}{2}+\frac{5\sqrt{3}i}{2}  

 52+53i2-\frac{5}{2}+\frac{5\sqrt{3}i}{2}  

 5253i2\frac{5}{2}-\frac{5\sqrt{3}i}{2}  

 5253i2-\frac{5}{2}-\frac{5\sqrt{3}i}{2}  

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 103(cos15°+isin15°)53(cos75°+isin75°)\frac{10\sqrt{3}\left(\cos15\degree+i\sin15\degree\right)}{5\sqrt{3}\left(\cos75\degree+i\sin75\degree\right)}  มีค่าเท่าไร

 1+3i1+\sqrt{3}i  

 1+3i-1+\sqrt{3}i  

 13i1-\sqrt{3}i  

 13i-1-\sqrt{3}i  

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