录入26届一些答案
This commit is contained in:
parent
36a2bfe3ca
commit
12f72aae9b
|
|
@ -1,116 +1,116 @@
|
|||
ans
|
||||
|
||||
018529
|
||||
(1) $-3+5\mathrm{i}$; (2) $-4\mathrm{i}$; (3) $14-8\mathrm{i}$; (4) $-25\mathrm{i}$
|
||||
024831
|
||||
$\dfrac{2}{5}$
|
||||
|
||||
018530
|
||||
(1) $1+\mathrm{i}$; (2) $-\dfrac{1}{3}+\dfrac{2\sqrt{2}}{3}\mathrm{i}$
|
||||
024832
|
||||
$2(\cos\dfrac{2\pi}{3}+\mathrm{i}\sin\dfrac{2\pi}{3})$
|
||||
|
||||
018531
|
||||
$\mathrm{i}^{4k+1}=\mathrm{i}$, $\mathrm{i}^{4k+2}=-1$, $\mathrm{i}^{4k+3}=-\mathrm{i}$, $\mathrm{i}^{4k}=1$, $k\in \mathbf{Z}$
|
||||
024833
|
||||
$\pm \sqrt{2}\mathrm{i}$
|
||||
|
||||
018532
|
||||
024834
|
||||
$\pm \dfrac{1}{2}$
|
||||
|
||||
024830
|
||||
$2(x+1-\dfrac{\sqrt{2}}{2}\mathrm{i})(x+1+\dfrac{\sqrt{2}}{2}\mathrm{i})$
|
||||
|
||||
024835
|
||||
$\dfrac{\pi}{4}$
|
||||
|
||||
024836
|
||||
$2$
|
||||
|
||||
024837
|
||||
\textcircled{3}\textcircled{5}
|
||||
|
||||
024838
|
||||
$9+\sqrt{2}$
|
||||
|
||||
024839
|
||||
$-\dfrac{15}{2}\pm \dfrac{15\sqrt{3}}{2}\mathrm{i}$
|
||||
|
||||
040857
|
||||
(1) $m=-1$, $|z|=\sqrt{2}$; (2) $(-1,1)$
|
||||
|
||||
040858
|
||||
(1) $m=-2$; (2) $m=\pm 2\sqrt{6}$或$\pm 4\sqrt{3}$
|
||||
|
||||
040799
|
||||
$-1-\mathrm{i}$
|
||||
|
||||
040800
|
||||
$1+\mathrm{i}$
|
||||
|
||||
040802
|
||||
$-1$
|
||||
|
||||
040792
|
||||
$4\pi$
|
||||
|
||||
040803
|
||||
$\pm\sqrt{3}$
|
||||
|
||||
040804
|
||||
\textcircled{4}
|
||||
|
||||
040805
|
||||
内心
|
||||
|
||||
040807
|
||||
C
|
||||
|
||||
040808
|
||||
$|z|$的最小值为$\dfrac{12}{5}$, 此时$z=\dfrac{48}{25}+\dfrac{36}{25}\mathrm{i}$
|
||||
|
||||
024822
|
||||
$0$
|
||||
|
||||
018533
|
||||
$4ab\mathrm{i}$
|
||||
040753
|
||||
$-\mathrm{i}$
|
||||
|
||||
018534
|
||||
$-2$
|
||||
024823
|
||||
$1$
|
||||
|
||||
018535
|
||||
$3$
|
||||
040754
|
||||
$1+2\mathrm{i}$
|
||||
|
||||
018536
|
||||
\begin{tabular}{|c|c|c|c|c|c|c|}
|
||||
\hline$z$ & 是否复数 & 是否实数 & 是否虚数 & 是否纯虚数 & $\mathrm{Re} z$ & $\mathrm{Im} z$ \\
|
||||
\hline$-0.5 \mathrm{i}$ & 是 & 否 & 是 & 是 & $0$ & $-0.5$ \\
|
||||
\hline $\frac{1}{2}-\sqrt{2} \mathrm{i}$ & 是 & 否 & 是 & 否 & $\dfrac{1}{2}$ & $-\sqrt{2}$\\
|
||||
\hline $\pi$ & 是 & 是 & 否 & 否 & $\pi$ & $0$ \\
|
||||
\hline $0$ & 是 & 是 & 否 & 否 & $0$ & $0$ \\
|
||||
\hline $\sqrt{3}$ & 是 & 是 & 否 & 否 & $\sqrt{3}$ & $0$ \\
|
||||
\hline $2 \mathrm{i}-5$ & 是 & 否 & 是 & 否 & $-5$ & $2$ \\
|
||||
\hline
|
||||
\end{tabular}
|
||||
024824
|
||||
$\dfrac{\sqrt{10}}{10}$
|
||||
|
||||
018537
|
||||
(1) $m=1$或$-1$; (2) $m<-1$或$-1<m<1$或$m>1$; (3) $m=-2$; (4) $m=1$
|
||||
040758
|
||||
$(-\sqrt{3},\sqrt{3})$
|
||||
|
||||
018538
|
||||
证明略
|
||||
040760
|
||||
$7-\mathrm{i}$或$-7+\mathrm{i}$
|
||||
|
||||
018539
|
||||
$-1-2\mathrm{i}$
|
||||
040801
|
||||
$2-\mathrm{i}$
|
||||
|
||||
009647
|
||||
(1) 证明题, 理由略; (2) 假命题, $z=0$; (3) 真命题, 理由略; (4) 假命题, $z=0$
|
||||
040765
|
||||
外心
|
||||
|
||||
009648
|
||||
(1) $m=1$; (2) $m\ne 1$; (3) $m=-2$
|
||||
040766
|
||||
\textcircled{2}\textcircled{4}
|
||||
|
||||
018540
|
||||
(1) $\theta=\pm \dfrac{\pi}{6}+k\pi$, $k\in \mathbf{Z}$; (2) $\theta=k\pi$, $k\in \mathbf{Z}$; (3) $\theta=\dfrac{\pi}{6}+2k\pi$或$\dfrac{5\pi}{6}+2k\pi$, $k\in \mathbf{Z}$
|
||||
040806
|
||||
C
|
||||
|
||||
018543
|
||||
$z_B-z_A$
|
||||
040768
|
||||
B
|
||||
|
||||
018544
|
||||
证明略
|
||||
024826
|
||||
$\sqrt{14}$
|
||||
|
||||
018545
|
||||
$2+3\mathrm{i}$
|
||||
024827
|
||||
$[-\dfrac{2}{5},0]$
|
||||
|
||||
009649
|
||||
(1) $x$轴的正半轴; (2) $x$轴的负半轴; (3) 第二象限; (4) $y$轴的负半轴
|
||||
024828
|
||||
$6$
|
||||
|
||||
009651
|
||||
$\overrightarrow{AB}$对应的复数为$2-2\mathrm{i}$, $\overrightarrow{BA}$对应的复数为$-2+2\mathrm{i}$
|
||||
040770
|
||||
(1) $z\cdot \overline{z}=1$, $\text{Re} z$的范围为$(-\dfrac{1}{2},1)$; (2) 证明略
|
||||
|
||||
009652
|
||||
$(-1,3)$
|
||||
|
||||
018546
|
||||
$3+\mathrm{i}$
|
||||
|
||||
018547
|
||||
$4-2\mathrm{i}$
|
||||
|
||||
018548
|
||||
证明略
|
||||
|
||||
018549
|
||||
(1) $\dfrac{\sqrt{10}}{5}$; (2) $1$
|
||||
|
||||
018550
|
||||
$3\sqrt{2}$
|
||||
|
||||
018551
|
||||
$[\dfrac{12}{5},4]$
|
||||
|
||||
018552
|
||||
(1) $\dfrac{\pi}{2}$; (2) $\dfrac{1}{2}$
|
||||
|
||||
009654
|
||||
$Z_1$在圆上, $Z_2$在圆内
|
||||
|
||||
009655
|
||||
$\sqrt{2}$
|
||||
|
||||
009656
|
||||
$\sqrt{65}$
|
||||
|
||||
018567
|
||||
$1$和$-\dfrac{1}{2}+\dfrac{\sqrt{3}}{2}\mathrm{i}$
|
||||
|
||||
024820
|
||||
$\sqrt{13}$
|
||||
|
||||
017652
|
||||
(1) $(4,2)$; (2) $-\dfrac{4\sqrt{17}}{17}$
|
||||
|
||||
024818
|
||||
(1) $-\dfrac{\sqrt{2}}{2}$; (2) $\sqrt{29}$; (3) $-\dfrac{23}{3}$; (4) $(-\dfrac{23}{3},2)\cup (2,+\infty)$
|
||||
|
||||
024819
|
||||
(1) $\cos\theta$; (2i) $(0,3)$; (2ii) $2\sqrt{3}-3$
|
||||
040771
|
||||
(1) $-1-\mathrm{i}$; (2) $(-1,-\dfrac{1}{2}]\cup [-\dfrac{1}{5},+\infty)$
|
||||
|
||||
|
|
|
|||
Reference in New Issue