diff --git a/工具v4/文本文件/metadata.txt b/工具v4/文本文件/metadata.txt index 90ca956d..b9a538cd 100644 --- a/工具v4/文本文件/metadata.txt +++ b/工具v4/文本文件/metadata.txt @@ -1,71 +1,3814 @@ -ans +usages -018553 -$25$的平方根是$5$与$-5$, $-25$的平方根是$5\mathrm{i}$与$-5\mathrm{i}$ -024821 -两根为$1\pm \dfrac{\sqrt{6}}{2}\mathrm{i}$, 因式分解的结果为$2(x-1-\dfrac{\sqrt{6}}{2}\mathrm{i})(x-1+\dfrac{\sqrt{6}}{2}\mathrm{i})$ +021393 +20240516 2025届高二10班 0.909 -018555 -$p=8$, $q=26$ -018556 -有错误, 错在$|x_1|^2$不能整理成$x_1^2$; 正确的解答可以通过分判别式$\ge 0$与$<0$进行, $m=-15$或$16$ +021394 +20240516 2025届高二10班 0.939 -009657 -$(-1,0)$ -009659 -$-\dfrac{1}{3}$ +041043 +20240516 2025届高二10班 0.848 -018557 -(1) $r=2$, $\theta=\dfrac{\pi}{6}$, 三角形式为$2(\cos\dfrac{\pi}{6}+\mathrm{i}\sin\dfrac{\pi}{6})$;\\ -(2) $r=\sqrt{2}$, $\theta=\dfrac{3\pi}{4}$, 三角形式为$\sqrt{2}(\cos\dfrac{3\pi}{4}+\mathrm{i}\sin\dfrac{3\pi}{4})$;\\ -(3) $r=1$, $\theta=\pi$, 三角形式为$2(\cos\pi+\mathrm{i}\sin\pi)$;\\ -(4) $r=5$, $\theta=\pi+\arctan\dfrac{4}{3}$, 三角形式为$5(\cos(\pi+\arctan\dfrac{4}{3})+\mathrm{i}\sin(\pi+\arctan\dfrac{4}{3}))$. -018558 -(1) $\cos(-\theta)+\mathrm{i}\sin(-\theta)$; (2) $2(\cos(\pi+\alpha)+\mathrm{i}\sin(\pi+\alpha))$ +021396 +20240516 2025届高二10班 0.818 -018559 -$-3-\sqrt{3}\mathrm{i}$ -018560 -B +022027 +20240516 2025届高二10班 1.000 0.939 0.970 0.909 0.939 -009660 -(1) 是, 理由略; (2) 不是, 理由略; (3) 是, 理由略; (4) 不是, 理由略; (5) 不是, 理由略; (6) 不是, 理由略 -009661 -(1) $3(\cos 0+\mathrm{i}\sin 0)$; (2) $2(\cos\dfrac{3\pi}{2}+\mathrm{i}\sin\dfrac{3\pi}{2})$; (3) $\sqrt{2}(\cos\dfrac{\pi}{4}+\mathrm{i}\sin\dfrac{\pi}{4})$; (4) $2(\cos\dfrac{2\pi}{3}+\mathrm{i}\sin\dfrac{2\pi}{3})$. +021397 +20240516 2025届高二10班 0.606 + + +022028 +20240516 2025届高二10班 0.924 0.939 0.848 + + +021401 +20240516 2025届高二10班 0.909 0.727 + + +021393 +20240516 2025届高二11班 0.926 + + +021394 +20240516 2025届高二11班 0.852 + + +041043 +20240516 2025届高二11班 0.704 + + +021396 +20240516 2025届高二11班 0.778 + + +022027 +20240516 2025届高二11班 1.000 0.907 0.963 0.963 0.926 + + +021397 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0.355 + + +032349 +20240523 2024届高三06班 1.000 + + +004315 +20240523 2024届高三06班 1.000 + + +032350 +20240523 2024届高三06班 1.000 + + +032351 +20240523 2024届高三06班 0.903 + + +032352 +20240523 2024届高三06班 0.677 + + +032353 +20240523 2024届高三06班 1.000 + + +032354 +20240523 2024届高三06班 0.806 + + +032348 +20240523 2024届高三07班 0.538 + + +032349 +20240523 2024届高三07班 1.000 + + +004315 +20240523 2024届高三07班 0.949 + + +032350 +20240523 2024届高三07班 0.923 + + +032351 +20240523 2024届高三07班 0.949 + + +032352 +20240523 2024届高三07班 0.641 + + +032353 +20240523 2024届高三07班 0.923 + + +032354 +20240523 2024届高三07班 0.949 + +usages + + +021901 +20240522 2026届高一10班 0.975 0.900 1.000 0.900 + + +021902 +20240522 2026届高一10班 0.800 0.700 + 018561 -$\cos(\dfrac{\pi}{2}-\alpha)+\mathrm{i}\sin(\dfrac{\pi}{2}-\alpha)$ +20240522 2026届高一10班 0.925 + 018562 -$\begin{cases}\dfrac{1}{\cos\theta}(\cos\theta+\mathrm{i}\sin\theta), & \theta \in (0,\dfrac{\pi}{2}),\\ -\dfrac{1}{\cos\theta}(\cos(\pi+\theta)+\mathrm{i}\sin(\pi+\theta)), & \theta \in (\dfrac{\pi}{2},\pi)\end{cases}$ +20240522 2026届高一10班 0.400 -018563 -$\dfrac{3}{2}+\dfrac{3\sqrt{3}}{2}\mathrm{i}$ -018564 -$(1-\sqrt{3})-(1+\sqrt{3})\mathrm{i}$ +021901 +20240522 2026届高一11班 0.949 0.974 0.923 0.897 -018565 -$2\mathrm{i}$ -018566 -$-1024$ +021902 +20240522 2026届高一11班 0.385 0.513 -018568 -$x=\pm(\sqrt{3}+\mathrm{i})$或$\pm(1-\sqrt{3}\mathrm{i})$ -018569 -$n$的最小值为$6$, 相应的$z$的值为$-\dfrac{27}{64}$ +018561 +20240522 2026届高一11班 0.897 + + +018562 +20240522 2026届高一11班 0.103 + + +021901 +20240522 2026届高一12班 0.975 1.000 1.000 0.875 + + +021902 +20240522 2026届高一12班 0.850 0.900 + + +018561 +20240522 2026届高一12班 0.975 + + +018562 +20240522 2026届高一12班 0.525 + + +021901 +20240522 2026届高一01班 0.975 0.900 1.000 0.850 + + +021902 +20240522 2026届高一01班 0.575 0.725 + + +018561 +20240522 2026届高一01班 0.925 + + +018562 +20240522 2026届高一01班 0.275 + + +021901 +20240522 2026届高一02班 0.950 0.975 0.950 0.925 + + +021902 +20240522 2026届高一02班 0.725 0.725 + + +018561 +20240522 2026届高一02班 0.950 + + 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