Cho hai số phức <span class="MathJax_Preview" style="color: inherit;"><span class="MJXp-math" id="MJXp-Span-1"><span class="MJXp-mstyle" id="MJXp-Span-2"><span class="MJXp-msubsup" id="MJXp-Span-3"><span class="MJXp-mi MJXp-italic" id="MJXp-Span-4" style="margin-right: 0.05em;">z</span><span class="MJXp-mn MJXp-script" id="MJXp-Span-5" style="vertical-align: -0.4em;">1</span></span><span class="MJXp-mo" id="MJXp-Span-6" style="margin-left: 0.333em; margin-right: 0.333em;">=</span><span class="MJXp-mn" id="MJXp-Span-7">3</span><span class="MJXp-mo" id="MJXp-Span-8" style="margin-left: 0.267em; margin-right: 0.267em;">+</span><span class="MJXp-mn" id="MJXp-Span-9">2</span><span class="MJXp-mi MJXp-italic" id="MJXp-Span-10">i</span></span></span></span><span id="MathJax-Element-1-Frame" class="mjx-chtml MathJax_CHTML MJXc-processed" tabindex="0" style="font-size: 127%;"><span id="MJXc-Node-1" class="mjx-math"><span id="MJXc-Node-2" class="mjx-mrow"><span id="MJXc-Node-3" class="mjx-mstyle"><span id="MJXc-Node-4" class="mjx-mrow" style="font-size: 144%;"><span id="MJXc-Node-5" class="mjx-msubsup"><span class="mjx-base" style="margin-right: -0.003em;"><span id="MJXc-Node-6" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.199em; padding-bottom: 0.298em; padding-right: 0.003em;">z</span></span></span><span class="mjx-sub" style="font-size: 70.7%; vertical-align: -0.212em; padding-right: 0.071em;"><span id="MJXc-Node-7" class="mjx-mn" style=""><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.396em; padding-bottom: 0.347em;">1</span></span></span></span><span id="MJXc-Node-8" class="mjx-mo MJXc-space3"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.101em; padding-bottom: 0.298em;">=</span></span><span id="MJXc-Node-9" class="mjx-mn MJXc-space3"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.396em; padding-bottom: 0.347em;">3</span></span><span id="MJXc-Node-10" class="mjx-mo MJXc-space2"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.298em; padding-bottom: 0.445em;">+</span></span><span id="MJXc-Node-11" class="mjx-mn MJXc-space2"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.396em; padding-bottom: 0.347em;">2</span></span><span id="MJXc-Node-12" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.445em; padding-bottom: 0.298em;">i</span></span></span></span></span></span></span><script type="math/tex" id="MathJax-Element-1">\Large z_1=3+2i</script> và <span class="MathJax_Preview" style="color: inherit;"><span class="MJXp-math" id="MJXp-Span-11"><span class="MJXp-mstyle" id="MJXp-Span-12"><span class="MJXp-msubsup" id="MJXp-Span-13"><span class="MJXp-mi MJXp-italic" id="MJXp-Span-14" style="margin-right: 0.05em;">z</span><span class="MJXp-mn MJXp-script" id="MJXp-Span-15" style="vertical-align: -0.4em;">2</span></span><span class="MJXp-mo" id="MJXp-Span-16" style="margin-left: 0.333em; margin-right: 0.333em;">=</span><span class="MJXp-mn" id="MJXp-Span-17">4</span><span class="MJXp-mo" id="MJXp-Span-18" style="margin-left: 0.267em; margin-right: 0.267em;">+</span><span class="MJXp-mn" id="MJXp-Span-19">5</span><span class="MJXp-mi MJXp-italic" id="MJXp-Span-20">i</span></span></span></span><span id="MathJax-Element-2-Frame" class="mjx-chtml MathJax_CHTML MJXc-processed" tabindex="0" style="font-size: 127%;"><span id="MJXc-Node-13" class="mjx-math"><span id="MJXc-Node-14" class="mjx-mrow"><span id="MJXc-Node-15" class="mjx-mstyle"><span id="MJXc-Node-16" class="mjx-mrow" style="font-size: 144%;"><span id="MJXc-Node-17" class="mjx-msubsup"><span class="mjx-base" style="margin-right: -0.003em;"><span id="MJXc-Node-18" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.199em; padding-bottom: 0.298em; padding-right: 0.003em;">z</span></span></span><span class="mjx-sub" style="font-size: 70.7%; vertical-align: -0.212em; padding-right: 0.071em;"><span id="MJXc-Node-19" class="mjx-mn" style=""><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.396em; padding-bottom: 0.347em;">2</span></span></span></span><span id="MJXc-Node-20" class="mjx-mo MJXc-space3"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.101em; padding-bottom: 0.298em;">=</span></span><span id="MJXc-Node-21" class="mjx-mn MJXc-space3"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.396em; padding-bottom: 0.347em;">4</span></span><span id="MJXc-Node-22" class="mjx-mo MJXc-space2"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.298em; padding-bottom: 0.445em;">+</span></span><span id="MJXc-Node-23" class="mjx-mn MJXc-space2"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.396em; padding-bottom: 0.347em;">5</span></span><span id="MJXc-Node-24" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.445em; padding-bottom: 0.298em;">i</span></span></span></span></span></span></span><script type="math/tex" id="MathJax-Element-2">\Large z_2=4+5i</script>. Phần ảo của số

Cho hai số phức $\Large z_1=3+2i$ và $\Large z_2=4+5i$ . Phần ảo của số

4.6/5

Tác giả: Thầy Tùng

Đăng ngày: 18 Aug 2022

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Lời giải chi tiết

Câu hỏi:

Cho hai số phức $\Large z_1=3+2i$ và $\Large z_2=4+5i$ . Phần ảo của số phức $\Large z=z_1+\overline{z_2}$ bằng

A.
7.
B.
7 $\Large i$ .
C.
-3 $\Large i$ .
D.
-3.

Đáp án án đúng là: D

Lời giải chi tiết:

Ta có $\Large z=z_1+\overline{z_2}$ = $\Large 3+2i+4-5i$ = $\Large 7-3i$ .

Vậy phần ảo của số phức $\Large z$ là: -3.

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