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基础数学 今日: 0|主题: 32751|排名: 3 

版主: luyuanhong
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预览 怎样通过坐标平移消去二次曲线方程中 x,y 的一次项 attachment wintex 2024-6-9 21:02 12232 luyuanhong 2024-6-14 19:37
预览 证:线性子空间 V1,V2,有 (V1+V2)^⊥L=V1^⊥L∩V2^⊥L,(V1+V2)^⊥R=V1^⊥R∩V2^⊥R attach_img wilsony 2024-6-14 11:12 02162 wilsony 2024-6-14 11:12
预览 求[C(2,2)+C(3,2)x+C(4,2)x^2+C(5,2)x^3+C(6,2)x^4+C(7,2)x^5]^4 展开式中 x^5 的系数 attach_img wintex 2024-6-3 21:15 43104 luyuanhong 2024-6-13 09:14
预览 怎样通过坐标旋转消去二次曲线方程中的交叉项 attach_img wintex 2024-6-9 12:20 52381 luyuanhong 2024-6-13 01:33
预览 球面图形 attach_img Zach 2024-6-11 10:01 12509 Zach 2024-6-12 09:41
预览 设 a,b,c 为整数,a>b>0,f(x)=x^3+ax^2+bx+c,lim(x→1)f(x)/(x^6-1)=2,求 a,b,c attach_img wintex 2024-6-11 22:51 32289 luyuanhong 2024-6-12 01:22
预览 锐角 ΔABC 中,角 A,B,C 对边为 a,b,c,已知 c=√2,A=2B,求 ΔABC 面积的取值范围 attach_img 有好好生活吗 2024-6-11 09:31 52892 王守恩 2024-6-11 21:10
预览 将正整数 n 拆分成 3 个不全相等的正整数相加,有几种不同的拆分法? attach_img  ...2 王守恩 2021-10-31 12:31 1712360 王守恩 2024-6-11 17:57
预览 G 为 ΔABC 重心,求最大 α 使 ∠GAB,∠GAC,∠GBA,∠GBC,∠GCA,∠GCB 中至少三个≥α attach_img dodonaomikiki 2024-1-18 16:39 23183 dodonaomikiki 2024-6-11 16:16
预览 f(x)=x^2-16,对 [1,3] 作 n 等分,Ln,Un 为黎曼下和、上和,|Un-Ln|<1/10000,求 n attach_img wintex 2024-6-8 22:44 12243 luyuanhong 2024-6-10 19:15
预览 E^n中的垂心组定理 attach_img lihpb04 2024-6-10 16:29 01854 lihpb04 2024-6-10 16:29
预览 xcosθ-ysinθ=4,xsinθ+ycosθ=3解为(1,2√6),求解xcosθ-ysinθ=-3,xsinθ+ycosθ=4 attach_img wintex 2024-6-8 22:59 12286 luyuanhong 2024-6-10 12:42
预览 5 颗红珠 5 颗黄珠排成一行,其中任何相邻的同色连串,珠数之差最多为 2,有几种排法?  ...2 myyour 2024-6-2 15:38 154484 王守恩 2024-6-9 13:38
预览 椭圆 Γ 绕原点逆时针旋转锐角 θ 得 91x^2-24xy+84y^2=300,Γ上哪一点转到正 y 轴? attach_img wintex 2024-6-5 16:11 72470 luyuanhong 2024-6-8 19:40
预览 f(X,Y)=ntr(XY)-trXtrY,X,Y∈Cn×n,证明:若 n 阶方阵 A 满足 A*=-A,则 F(A,A)≤0 attach_img wilsony 2024-6-7 15:34 02064 wilsony 2024-6-7 15:34
预览 椭圆内接n条线段 attach_img 0-1110 2024-6-5 14:04 12016 0-1110 2024-6-5 20:16
预览 实数 A 满足 [A+4/100]+[A+6/100]+[A+8/100]+…+[A+4/100]=288,求 [5A+98/100] attach_img popo987654 2024-6-5 15:36 12078 lihp2020 2024-6-5 17:43
预览 设 r,s,t∈R,1≤r≤s≤t≤4,求 (r-1)^2+(s/r-1)^2+(t/s-1)^2+(4/t-1)^2 的最小值 attach_img evaQ 2024-6-5 08:38 42554 luyuanhong 2024-6-5 13:25
预览 求下列数列的极限:(1)a(n)=[(3n+1)/(3n-1)]^n ;(2)a(1)=-6,a(n+1)=√[6+a(n)] wintex 2024-6-3 21:10 32206 luyuanhong 2024-6-4 18:31
预览 求定积分 ∫(0,1)x/√(1+x^4)dx attach_img wintex 2024-6-3 21:09 32197 luyuanhong 2024-6-4 13:23
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\frac{\square}{\square}\sqrt{\square}\square_{\baguet}^{\baguet}\overarc{\square}\ \dot{\baguet}\left(\square\right)\binom{\square}{\square}\begin{cases}\square\\\square\end{cases}\ \begin{bmatrix}\square&\square\\\square&\square\end{bmatrix}\to\Rightarrow\mapsto\alpha\ \theta\ \pi\times\div\pm\because\angle\ \infty
\frac{\square}{\square}\sqrt{\square}\sqrt[\baguet]{\square}\square_{\baguet}\square^{\baguet}\square_{\baguet}^{\baguet}\sum_{\baguet}^{\baguet}\prod_{\baguet}^{\baguet}\coprod_{\baguet}^{\baguet}\int_{\baguet}^{\baguet}\lim_{\baguet}\lim_{\baguet}^{\baguet}\bigcup_{\baguet}^{\baguet}\bigcap_{\baguet}^{\baguet}\bigwedge_{\baguet}^{\baguet}\bigvee_{\baguet}^{\baguet}
\underline{\square}\overline{\square}\overrightarrow{\square}\overleftarrow{\square}\overleftrightarrow{\square}\underrightarrow{\square}\underleftarrow{\square}\underleftrightarrow{\square}\dot{\baguet}\hat{\baguet}\vec{\baguet}\tilde{\baguet}
\left(\square\right)\left[\square\right]\left\{\square\right\}\left|\square\right|\left\langle\square\right\rangle\left\lVert\square\right\rVert\left\lfloor\square\right\rfloor\left\lceil\square\right\rceil\binom{\square}{\square}\boxed{\square}
\begin{cases}\square\\\square\end{cases}\begin{matrix}\square&\square\\\square&\square\end{matrix}\begin{pmatrix}\square&\square\\\square&\square\end{pmatrix}\begin{bmatrix}\square&\square\\\square&\square\end{bmatrix}\begin{Bmatrix}\square&\square\\\square&\square\end{Bmatrix}\begin{vmatrix}\square&\square\\\square&\square\end{vmatrix}\begin{Vmatrix}\square&\square\\\square&\square\end{Vmatrix}\begin{array}{l|l}\square&\square\\\hline\square&\square\end{array}
\to\gets\leftrightarrow\nearrow\searrow\downarrow\uparrow\updownarrow\swarrow\nwarrow\Leftarrow\Rightarrow\Leftrightarrow\rightharpoonup\rightharpoondown\impliedby\implies\Longleftrightarrow\leftharpoonup\leftharpoondown\longleftarrow\longrightarrow\longleftrightarrow\Uparrow\Downarrow\Updownarrow\hookleftarrow\hookrightarrow\mapsto
\alpha\beta\gamma\Gamma\delta\Delta\epsilon\varepsilon\zeta\eta\theta\Theta\iota\kappa\varkappa\lambda\Lambda\mu\nu\xi\Xi\pi\Pi\varpi\rho\varrho\sigma\Sigma\tau\upsilon\Upsilon\phi\Phi\varphi\chi\psi\Psi\omega\Omega\digamma\vartheta\varsigma\mathbb{C}\mathbb{H}\mathbb{N}\mathbb{P}\mathbb{Q}\mathbb{R}\mathbb{Z}\Re\Im\aleph\partial\nabla
\times\cdot\ast\div\pm\mp\circ\backslash\oplus\ominus\otimes\odot\bullet\varnothing\neq\equiv\not\equiv\sim\approx\simeq\cong\geq\leq\ll\gg\succ\prec\in\ni\cup\cap\subset\supset\not\subset\not\supset\notin\not\ni\subseteq\supseteq\nsubseteq\nsupseteq\sqsubset\sqsupset\sqsubseteq\sqsupseteq\sqcap\sqcup\wedge\vee\neg\forall\exists\nexists\uplus\bigsqcup\bigodot\bigotimes\bigoplus\biguplus\bigcap\bigcup\bigvee\bigwedge
\because\therefore\angle\parallel\perp\top\nparallel\measuredangle\sphericalangle\diamond\diamondsuit\doteq\propto\infty\bowtie\square\smile\frown\bigtriangledown\triangle\triangleleft\triangleright\bigcirc \wr\amalg\models\preceq\mid\nmid\vdash\dashv\nless\ngtr\ldots\cdots\vdots\ddots\surd\ell\flat\sharp\natural\wp\clubsuit\heartsuit\spadesuit\oint\lfloor\rfloor\lceil\rceil\lbrace\rbrace\lbrack\rbrack\vert\hbar\aleph\dagger\ddagger

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