From a63d5ea942e1f1b728d90c2fd3054f586e9a5359 Mon Sep 17 00:00:00 2001 From: wangweiye7840 Date: Wed, 5 Jun 2024 07:29:48 +0800 Subject: [PATCH] =?UTF-8?q?=E4=BD=BF=E7=94=A8=E8=AE=B0=E5=BD=9520240604?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 工具v4/文本文件/metadata.txt | 1990 +++++++++++++++++++++++++++------- 1 file changed, 1617 insertions(+), 373 deletions(-) diff --git a/工具v4/文本文件/metadata.txt b/工具v4/文本文件/metadata.txt index 89be7a75..b47595fb 100644 --- a/工具v4/文本文件/metadata.txt +++ b/工具v4/文本文件/metadata.txt @@ -1,538 +1,1782 @@ -ans - -021268 -\begin{center} -\begin{tabular}{|c|c|c|c|c|c|} -\hline 标准方程 & 图形 & 顶点 & 对称轴 & 焦点 & 准线 \\ -\hline $y^2=2 p x$($p>0$) & \begin{tikzpicture}[>=latex,scale = 0.5] -\draw [->] (-2,0) -- (2,0) node [below] {$x$}; -\draw [->] (0,-2) -- (0,2) node [right] {$y$}; -\draw (0,0) node [below right] {$O$}; -\draw (-0.5,-2) -- (-0.5,2); -\draw [domain = -2:2] plot ({\x*\x/2},\x); -\end{tikzpicture} & $(0,0)$ & $x$轴 & $(\frac{p}{2},0)$ & $x=-\frac{p}{2}$ \\ -\hline $y^2=-2 p x$($p>0$)& \begin{tikzpicture}[>=latex,scale = 0.5] -\draw [->] (-2,0) -- (2,0) node [below] {$x$}; -\draw [->] (0,-2) -- (0,2) node [right] {$y$}; -\draw (0,0) node [below right] {$O$}; -\draw (0.5,-2) -- (0.5,2); -\draw [domain = -2:2] plot ({-\x*\x/2},\x); -\end{tikzpicture} & $(0,0)$ & $x$轴 & $(-\frac{p}{2},0)$ & $x=\frac{p}{2}$ \\ -\hline $x^2=2 p y$($p>0$)& \begin{tikzpicture}[>=latex,scale = 0.5] -\draw [->] (-2,0) -- (2,0) node [below] {$x$}; -\draw [->] (0,-2) -- (0,2) node [right] {$y$}; -\draw (0,0) node [below right] {$O$}; -\draw (-2,-0.5) -- (2,-0.5); -\draw [domain = -2:2] plot (\x,{\x*\x/2}); -\end{tikzpicture}& $(0,0)$ & $y$轴 & $(0,\frac{p}{2})$ & $y=-\frac{p}{2}$ \\ -\hline $x^2=-2 p y$($p>0$)&\begin{tikzpicture}[>=latex,scale = 0.5] -\draw [->] (-2,0) -- (2,0) node [below] {$x$}; -\draw [->] (0,-2) -- (0,2) node [right] {$y$}; -\draw (0,0) node [below right] {$O$}; -\draw (-2,0.5) -- (2,0.5); -\draw [domain = -2:2] plot (\x,-{\x*\x/2}); -\end{tikzpicture} & $(0,0)$ & $y$轴 & $(0,-\frac{p}{2})$ & $y=\frac{p}{2}$ \\ -\hline -\end{tabular} -\end{center} +usages -021270 -$(0,-8)$; $y=8$ -021271 -$(0,\frac{1}{16})$; $y=-\frac{1}{16}$ +041168 +20240603 2026届高一10班 0.821 -021272 -$(0,-\frac{1}{6})$; $y=\frac{1}{6}$ -041007 -(1) $y^2=-x$; (2) $y^2=4x$或$y^2=-4x$或$x^2=-4y$或$x^2=4y$; (3) $y^2=-\frac{16}{3}x$或 $x^2=\frac{9}{4}y$; -(4) $y^2=16x$或$y^2=-16x$; -(5) $y^2=16x$或$x^2=-12y$. +041170 +20240603 2026届高一10班 1.000 -021276 -$\frac{5}{2}$ -021279 -$(3,\pm 2\sqrt{3})$ +041171 +20240603 2026届高一10班 0.974 -021284 -$(3,\pm 2\sqrt{6})$ -021269 -A +041173 +20240603 2026届高一10班 0.949 -021275 -$(\frac{m}{4},0)$;$x=-\frac{m}{4}$ -041008 -$(0,\frac{1}{4a})$;$y=-\frac{1}{4a}$ +041174 +20240603 2026届高一10班 0.949 -041009 -$y^2=12x$ -041010 -2 +041175 +20240603 2026届高一10班 0.462 -041011 -$y^2=-8x$;$m=\pm 2\sqrt{6}$ -008929 -$x^2=-y,x\in [-1,1]$ +041176 +20240603 2026届高一10班 0.974 -041012 -(1) $(-1,0)$;$x=1$; (2) $\frac{x^2}{2}+y^2$=1; (3) $(4-3\sqrt{2},\pm \sqrt{12\sqrt{2}-16})$ -021278 -$(1,\pm 2)$ +040300 +20240603 2026届高一10班 0.974 -041013 -最小值为$4$, $M(\frac{1}{4},1)$ -041014 -$x^2=-12y$ +023654 +20240603 2026届高一10班 0.974 -021280 -$y^2=x$ -041015 -$y^2=8x$ +041191 +20240603 2026届高一10班 0.897 -021304 -$\frac{\pi}{2}$ -021308 -$\frac{11}{2}$ +041192 +20240603 2026届高一10班 0.872 -021287 -$\frac{45}{8}$ -009840 -$(\frac{1}{4},0)$;$x=-\frac{1}{4}$ +041193 +20240603 2026届高一10班 0.821 -021309 -2 -021290 -$(\frac{1}{2},1)$ +041194 +20240603 2026届高一10班 0.872 -021291 -$y^2=2x$或$y^2=6x$ -041016 -相切 +041177 +20240603 2026届高一10班 0.897 -021339 -$x^2-x+y^2=0(x\neq 0)$ -021289 -$4\sqrt{3}$ +041178 +20240603 2026届高一10班 0.897 0.872 -021293 -3 -021294 -$(4,2)$ +024850 +20240603 2026届高一10班 1.000 0.872 0.949 0.872 0.744 0.897 0.974 0.795 -021295 -$-4$ -021305 -$y^2=\pm 4x$ +041197 +20240603 2026届高一10班 0.872 0.744 0.821 0.744 -013106 -$[-1,1]$ -021292 -B +041168 +20240603 2026届高一11班 0.972 -008930 -$0$或$-\frac{1}{2}$ -008934 -$4x-y-15=0$ +041170 +20240603 2026届高一11班 0.861 -008922 -$y=\frac{1}{4},x>\frac{1}{16}$ -021299 -2 +041171 +20240603 2026届高一11班 0.917 -021300 -$2\sqrt{15}$ -021321 -(1) 定点$(2,0)$;(2) 4 +041173 +20240603 2026届高一11班 0.972 -041017 -(1) 6; (2) $\frac{1}{32}$ -041018 -8 +041174 +20240603 2026届高一11班 0.944 -021316 -$\frac{11}{4}$ -021326 -8 +041175 +20240603 2026届高一11班 0.972 -021319 -$y=\pm \frac{\sqrt{3}}{3}x+1$ -041019 -$\frac{2}{p}$ +041176 +20240603 2026届高一11班 0.889 -041020 -D -041021 -(1) $\frac{5p}{8}$; (2) $-2$;$-\frac{p}{y_0}$ +040300 +20240603 2026届高一11班 0.972 -021331 -D -041022 -C +023654 +20240603 2026届高一11班 0.944 -041023 -必要不充分 -021334 -$y=2x-3,x \leq 2$; $y=2x-3,x \in [1,2]$ +041191 +20240603 2026届高一11班 0.861 -021335 -$y=-2x^2+8x-4$ -021336 -$y^2=8x-16$ +041192 +20240603 2026届高一11班 0.944 -021337 -$x^2+y^2=1$ -021338 -$3x+y-4=0(x \neq 1)$ +041193 +20240603 2026届高一11班 0.778 -021340 -$(x-1)^2+(y-2)^2=\frac{1}{9}$ -021341 -$x+2y-5=0$ +041194 +20240603 2026届高一11班 0.861 -021342 -$x^2+y^2=4(x>0,y>0)$ -021343 -$(x-3)^2=10y-15$ +041177 +20240603 2026届高一11班 0.889 -041024 -C -008846 -0或$-\frac{1}{2}$ +041178 +20240603 2026届高一11班 0.917 0.944 -008847 -$\frac{3}{2}$ -008852 -0或$\frac{1}{4}$或$-\frac{1}{2}$ +024850 +20240603 2026届高一11班 1.000 0.972 0.972 0.972 0.833 1.000 0.889 0.556 -008853 -$[-4,4]]$ -041025 -(2) $13x-2y=0$ +041197 +20240603 2026届高一11班 0.889 0.833 0.833 0.861 -041026 -$(-3,5),(1,1)$ -041027 -$k<-2$或$k>2$或$k=\pm \sqrt{3}$ +041168 +20240603 2026届高一12班 0.775 -010704 -$(-\frac{2\sqrt{13}}{13},\frac{2\sqrt{13}}{13})$ -010703 -当$01$时,轨迹为双曲线;当$k=1$时,轨迹为抛物线 +041170 +20240603 2026届高一12班 0.950 -021348 -$x^2+4(y-1)^2=4(0 \leq x \leq 2, 1 \leq y \leq 2)$ -021349 -0 +041171 +20240603 2026届高一12班 0.850 -021351 -$\frac{\pi}{3}$或$\frac{2\pi}{3}$ -041028 -$(\frac{3\sqrt{3}}{2},1)$; $\arctan \frac{2\sqrt{3}}{9}$ +041173 +20240603 2026届高一12班 0.925 -021352 -4 -021353 -D +041174 +20240603 2026届高一12班 0.875 -041029 -$x=a+r\cos \alpha, y=b+r \sin \alpha$ ($\alpha$为参数, $\alpha \in \mathbf{R}$) -021354 -(1) $M_1$在曲线$C$上, $M_2$不在曲线$C$上; (2) $a=9$ +041175 +20240603 2026届高一12班 0.525 -021355 -$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$双曲线 -009845 -$x=\frac{2+\cos \alpha}{2}, y=\frac{\sin \alpha}{2}$ ($\alpha$为参数, $\alpha \in \mathbf{R}$) +041176 +20240603 2026届高一12班 0.925 -009846 -$x=1+9t,y=1+12t$,其中 $t$ 为参数,$t\geq 0$ -021358 -6 +040300 +20240603 2026届高一12班 0.925 -021359 -$\sqrt{17}$ -021362 -$(3\sqrt{2},\sqrt{2})$ +023654 +20240603 2026届高一12班 0.975 -021363 -最大值7; 最小值$\frac{3\sqrt{15}-4}{4}$ -021364 -$\sqrt{33}+2\sqrt{6}$ +041191 +20240603 2026届高一12班 0.950 -012470 -B -041030 -B +041192 +20240603 2026届高一12班 0.925 -041031 -A -041032 -$(-3,-\frac{3\sqrt{5}}{5}) \cup (\frac{3\sqrt{5}}{5},3)$ +041193 +20240603 2026届高一12班 0.775 -041033 -13 -041034 -$\frac{1+2\sqrt{21}}{3}$ +041194 +20240603 2026届高一12班 0.925 -041035 -$y=\pm 1$ -041036 -$y^2=2x-2$ +041177 +20240603 2026届高一12班 0.900 -041037 -$7\sqrt{3}$ -041038 -(1) $C_1$是以$(-4,3)$为圆心,半径为1的圆; $C_2$是椭圆 -$\frac{x^2}{64}+\frac{y^2}{9}=1$; (2) $\frac{8\sqrt{5}}{5}$ +041178 +20240603 2026届高一12班 0.925 0.925 -041039 -(1) $x=1$,$5x-2y-3=0$,$2x-y-1=0$,$2x+y-3=0$; -(2) 点 $T$ 不在曲线 $\Gamma$ 上 -ans +024850 +20240603 2026届高一12班 1.000 0.950 0.975 0.900 0.850 0.975 1.000 0.825 -041073 -(-2,$\dfrac{1}{2}$) -041074 -$x-8y=0(x<-\dfrac{8}{15}\sqrt{15}$或$x>\dfrac{8}{15}\sqrt{15}$) +041197 +20240603 2026届高一12班 0.850 0.750 0.775 0.800 -041075 -$(-\infty,-1)\cup(1,+\infty)$ -041076 -$[3+2\sqrt{3},+\infty)$ +041168 +20240603 2026届高一01班 0.895 -041077 -$2\sqrt{10}$ -041078 -44 +041170 +20240603 2026届高一01班 1.000 -002112 -$y^2=4x$ -002409 -$y^2=-\dfrac{9}{2}x$或$x^2=\dfrac{4}{3}y$ +041171 +20240603 2026届高一01班 0.868 -041079 -$\pm 2\sqrt{6}$ -041080 -(5,0) +041173 +20240603 2026届高一01班 0.921 -041081 -$\dfrac{23}{24}$ -041082 -176.0 +041174 +20240603 2026届高一01班 0.658 -041083 -$|PA|_{\min}=\begin{cases} - a,01 -\end{cases}$ -041084 -不存在 +041175 +20240603 2026届高一01班 0.947 -041085 -(1)$m_A=91.5,m_B=90\\(2)S^2_A\dfrac{4}{3}\sqrt{3},\quad \overrightarrow{FA}\cdot \overrightarrow{FB}_{max}=9,\quad$此时$p=2\sqrt{3}$\\(3)$p=2\sqrt{3}$ -041097 -$(-\infty,-2)$ +041178 +20240603 2026届高一01班 0.868 0.868 -041098 -$\dfrac{1}{2}$ -041099 -(2)(3)(4) +024850 +20240603 2026届高一01班 0.974 0.816 0.947 0.842 0.605 1.000 0.921 0.421 -018928 -7 -041100 -AD,CD +041197 +20240603 2026届高一01班 0.658 0.895 0.737 0.789 -041101 -(3)(4) -041102 -$\pm 2$ +041168 +20240603 2026届高一02班 0.700 -041103 -$y^2-\dfrac{x^2}{48}=1\quad(y<0)$ -041104 -4或2或$\dfrac{3}{2}$ +041170 +20240603 2026届高一02班 0.975 -041105 -(2) -023553 -(1)$\dfrac{17}{45}$\\(2)一级6箱,二级2箱\\(3)预估287.69克 +041171 +20240603 2026届高一02班 0.900 -041106 -$[\dfrac{1}{3},1)\cup(1,3]$ -018949 -没有被抓的风险 +041173 +20240603 2026届高一02班 0.950 -041107 -(1)$\dfrac{x^2}{24}+\dfrac{y^2}{20}=1\\S_{max}=\dfrac{5\sqrt{30}}{4}$ -041108 -D +041174 +20240603 2026届高一02班 0.850 -041109 -C -041110 -A +041175 +20240603 2026届高一02班 0.900 -041111 -B -041112 -$\dfrac{2}{5}\sqrt{10}$ +041176 +20240603 2026届高一02班 0.875 -041113 -A -030201 -B +040300 +20240603 2026届高一02班 0.975 -041114 -A -041115 -$(\sqrt{3},2)$ +023654 +20240603 2026届高一02班 0.975 -041116 -$\dfrac{\sqrt{2}}{2}$ -041117 -(1)$arccos\dfrac{2}{5}\\$(2)正弦值为$\dfrac{\sqrt{15}}{5}\\(3)\dfrac{\pi}{6}$ +041191 +20240603 2026届高一02班 0.825 -041118 -$l:y-2=\dfrac{118}{143}(x-3)$ -041119 -$x^2+y^2+x-6y+3=0$ +041192 +20240603 2026届高一02班 0.975 -041120 -曲线方程为$y^2=48-12x\quad(x\geq3)$及$y^2=4x\quad(x<3)$ -041121 -$x^2+y^2=7$ +041193 +20240603 2026届高一02班 0.650 -ans +041194 +20240603 2026届高一02班 0.700 -012345 -D -023233 -$a_{n}=\begin{cases}2-a,n=1 \\2^{n-1},n\geq2 - \end{cases}$. +041177 +20240603 2026届高一02班 0.800 + + +041178 +20240603 2026届高一02班 0.875 0.850 + + +024850 +20240603 2026届高一02班 0.975 0.900 0.900 0.975 0.800 0.975 1.000 0.475 + + +041197 +20240603 2026届高一02班 0.800 0.900 0.825 0.925 + + +041168 +20240603 2026届高一03班 0.810 + + +041170 +20240603 2026届高一03班 1.000 + + +041171 +20240603 2026届高一03班 0.881 + + +041173 +20240603 2026届高一03班 0.976 + + +041174 +20240603 2026届高一03班 0.786 + + +041175 +20240603 2026届高一03班 0.952 + + +041176 +20240603 2026届高一03班 0.762 + + +040300 +20240603 2026届高一03班 0.905 + + +023654 +20240603 2026届高一03班 0.929 + + +041191 +20240603 2026届高一03班 0.786 + + +041192 +20240603 2026届高一03班 0.976 + + +041193 +20240603 2026届高一03班 0.619 + + +041194 +20240603 2026届高一03班 0.833 + + +041177 +20240603 2026届高一03班 0.857 + + +041178 +20240603 2026届高一03班 0.929 0.857 + + +024850 +20240603 2026届高一03班 1.000 0.952 0.976 0.905 0.833 0.952 0.952 0.714 + + +041197 +20240603 2026届高一03班 0.833 0.714 0.714 0.857 + + +041168 +20240603 2026届高一04班 0.771 + + +041170 +20240603 2026届高一04班 0.943 + + +041171 +20240603 2026届高一04班 0.943 + + +041173 +20240603 2026届高一04班 0.829 + + +041174 +20240603 2026届高一04班 0.714 + + +041175 +20240603 2026届高一04班 0.914 + + +041176 +20240603 2026届高一04班 0.886 + + +040300 +20240603 2026届高一04班 0.886 + + +023654 +20240603 2026届高一04班 0.914 + + +041191 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2026届高一06班 0.944 0.944 0.917 0.889 + + +021403 +20240604 2026届高一06班 0.778 + + +021404 +20240604 2026届高一06班 0.944 0.944 0.861 0.944 + + +021405 +20240604 2026届高一06班 0.583 0.528 + + +021406 +20240604 2026届高一06班 0.722 0.556 + + +021407 +20240604 2026届高一06班 0.833 0.556 + + +021408 +20240604 2026届高一06班 0.806 0.917 + + +021409 +20240604 2026届高一06班 0.444 0.778 + + +021402 +20240604 2026届高一07班 0.917 0.889 0.944 0.861 + + +021403 +20240604 2026届高一07班 0.861 + + +021404 +20240604 2026届高一07班 0.972 0.917 0.944 0.972 + + +021405 +20240604 2026届高一07班 0.778 0.833 + + +021406 +20240604 2026届高一07班 0.806 0.639 + + +021407 +20240604 2026届高一07班 0.917 0.778 + + +021408 +20240604 2026届高一07班 0.722 0.889 + + +021409 +20240604 2026届高一07班 0.667 0.556 + + +021402 +20240604 2026届高一08班 0.868 0.842 0.921 0.921 + + +021403 +20240604 2026届高一08班 0.921 + + +021404 +20240604 2026届高一08班 1.000 0.895 0.947 0.895 + + +021405 +20240604 2026届高一08班 0.895 0.526 + + +021406 +20240604 2026届高一08班 0.868 0.711 + + +021407 +20240604 2026届高一08班 0.816 0.579 + + +021408 +20240604 2026届高一08班 0.789 0.921 + + +021409 +20240604 2026届高一08班 0.684 0.763 + + +021402 +20240604 2026届高一09班 0.917 0.944 0.944 0.944 + + +021403 +20240604 2026届高一09班 0.944 + + +021404 +20240604 2026届高一09班 1.000 0.972 0.861 0.917 + + +021405 +20240604 2026届高一09班 0.778 0.694 + + +021406 +20240604 2026届高一09班 0.917 0.667 + + +021407 +20240604 2026届高一09班 0.944 0.778 + + +021408 +20240604 2026届高一09班 0.917 0.861 + + +021409 +20240604 2026届高一09班 0.639 0.778 -023255 -(1)略;(2)$a_n=\begin{cases} - \frac{1}{2},n=1\\-\frac{1}{2n(n-1)},n\geq2 -\end{cases}$