ทบทวนความรู้พื้นฐานของจำนวนเชิงซ้อน
จำนวนเชิงซ้อนสามารถเขียนให้อยู่ในรูปของ
เมื่อจำนวนเชิงซ้อนเขียนอยู่ในรูปของ a+bi จะเรียก a และ b ว่าเป็น
ถ้าแทนจำนวนเชิงซ้อน (a,b) ใด ๆ ด้วยจุดในระนาบพิกัดฉาก แล้ว
จะเรียกแกน X ว่า
จะเรียกแกน Y ว่า
และเรียกระนาบนี้ว่า
จงเขียนคู่อันดับในระนาบเชิงซ้อนดังต่อไปนี้ให้อยู่ในรูปของ a+bi
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[/img]
ตัวผกผักการบวก ของจำนวนเชิงซ้อน z เขียนแทนด้วย -z
เนื่องจาก [math]z=a+bi[/math] จะได้ว่า [math]-z[/math] เท่ากับ
บทนิยาม สำหรับจำนวนเชิงซ้อน z และ w
จะได้ว่า [math]z-w=z+\left(-w\right)[/math]
complex number addition
complex number addition
จากระนาบเชิงซ้อนนักเรียนสังเกตเห็นอะไรบ้าง
ถ้า จำนวนเชิงซ้อน W เกิดจากการดำเนินการทางคณิตศาสตร์ระหว่าง [math]Z_1[/math] กับ [math]Z_2[/math][br]แล้วนักเรียนคิดว่า การดำเนินการทางคณิตศาสตร์นั้นคืออะไร
เมื่อกำหนดให้ [math]Z_1=\left(4,3\right)[/math] และ [math]Z_2=\left(3,3\right)[/math] นักเรียนคิดว่า [math]W[/math] คือคู่อันดับใด
เมื่อกำหนดให้ [math]Z_1=5+4i[/math] และ [math]Z_2=-3+4i[/math] นักเรียนคิดว่า [math]W[/math] คือคู่อันดับใด และเขียนให้อยู่ในรูป a+bi
เมื่อกำหนดให้ [math]Z_1=a_1+b_1i[/math] และ [math]Z_2=a_2+b_2i[/math] นักเรียนสามารถสรุปการบวกจำนวนเชิงซ้อนได้ว่า
complex number subtraction
complex number subtraction
ถ้า จำนวนเชิงซ้อน W เกิดจากการดำเนินการทางคณิตศาสตร์ระหว่าง [math]Z_1[/math] กับ [math]Z_2[/math][br]แล้วนักเรียนคิดว่า การดำเนินการทางคณิตศาสตร์ที่ว่านั้นคืออะไร
เมื่อกำหนดให้ [math]Z_1=\left(3,3\right)[/math] และ [math]Z_2=\left(2,2\right)[/math] แล้ว[math]W[/math] คือคู่อันดับใด
เมื่อกำหนดให้ [math]Z_1=6+4i[/math] และ [math]Z_2=3-2i[/math] นักเรียนคิดว่า [math]W[/math] คือคู่อันดับใด และเขียนให้อยู่ในรูป a+bi
เมื่อกำหนดให้ [math]Z_1=a_1+b_1i[/math] และ [math]Z_2=a_2+b_2i[/math] นักเรียนสามารถสรุปการลบจำนวนเชิงซ้อนได้ว่า
Addition of Complex Numbers
Practice addition of complex numbers.[br][br]For video explanation see[br][url]https://www.khanacademy.org/math/algebra/complex-numbers/complex_numbers/v/adding-complex-numbers[/url][br]or[br][url]http://patrickjmt.com/complex-numbers-graphing-adding-subtracting/[/url]