From 7b7bf95662949c938b8fad4492ddff61f3b75267 Mon Sep 17 00:00:00 2001 From: xieyuen Date: Sun, 29 Mar 2026 11:04:32 +0800 Subject: [PATCH 1/7] =?UTF-8?q?feat:=20=E6=B7=BB=E5=8A=A0=E5=8F=8D?= =?UTF-8?q?=E4=B8=89=E8=A7=92=E5=87=BD=E6=95=B0=E7=9A=84=E6=89=A9=E5=B1=95?= =?UTF-8?q?=E5=86=85=E5=AE=B9=E5=8F=8A=E7=9B=B8=E5=85=B3=E5=9B=BE=E7=89=87?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- content/post/courses/calculus/c1.md | 48 ++---- content/post/courses/inverse-tri-func/cot.png | Bin 0 -> 71265 bytes content/post/courses/inverse-tri-func/csc.png | Bin 0 -> 65334 bytes .../post/courses/inverse-tri-func/index.md | 152 ++++++++++++++++++ content/post/courses/inverse-tri-func/sec.png | Bin 0 -> 58966 bytes 5 files changed, 163 insertions(+), 37 deletions(-) create mode 100644 content/post/courses/inverse-tri-func/cot.png create mode 100644 content/post/courses/inverse-tri-func/csc.png create mode 100644 content/post/courses/inverse-tri-func/index.md create mode 100644 content/post/courses/inverse-tri-func/sec.png diff --git a/content/post/courses/calculus/c1.md b/content/post/courses/calculus/c1.md index 681c737..84c4a07 100644 --- a/content/post/courses/calculus/c1.md +++ b/content/post/courses/calculus/c1.md @@ -9,45 +9,19 @@ hidden: false comments: true draft: true categories: - - Courses + - Courses tags: - - Calculus + - 微积分 --- ## 知识点 -1. 基本概念 - - 邻域 - - 初等函数和基本初等函数 - - 极值和最值 -2. 函数极限的定义 - - 六种函数极限 -3. 极限的性质和运算 - - 四则运算 - - 保号性 - - “抓大头” -4. 重要极限 - - $\lim_{x \to 0} \frac{\sin x}{x} = 1$ - - $\lim_{x \to \infty} \left( 1 + \frac{1}{x} \right)^x = e$ -5. 函数的连续性 - - 最大值、最小值定理 - - 介值定理 $\Rightarrow$ 零点存在定理 - -## 练习题 - -### 一、求极限 - -1. $\lim_{x \to 1} \frac{x^3-1}{\ln x}$ -2. $\lim_{h \to 0} \frac{\sin (x+h) - \sin x}{h}$ - - **提示**: 和差化积公式 -3. $\lim_{x \to 0} \frac{\tan x - \sin x}{x^3}$ - - **提示**: 等价无穷小代换, 注意加减法不能直接换 -4. $\lim_{x \to +\infty} \left(1 - \frac{1}{x} + \frac{2}{x^2} \right)^x$ - - **提示**: 重要极限 -5. $\lim_{x \to +\infty} \frac{\ln x}{x}$ - -### 二、解答题(选做) - -1. 证明重要极限: $\lim_{x \to 0} \frac{\sin x}{x} = 1$ -2. 求 $\sqrt{2 + \sqrt{2 + \sqrt{2 + \cdots}}}$ - - **提示**: 要证明极限的存在性 +1. 导数的定义 +2. 导数的几何意义 +3. 导数的表示方法 +4. 导数的计算方法 +5. 微分的定义 +6. 微分的几何意义 +7. 微分的表示方法 +8. 高阶导数和高阶微分 +9. 微分中值定理 diff --git a/content/post/courses/inverse-tri-func/cot.png b/content/post/courses/inverse-tri-func/cot.png new file mode 100644 index 0000000000000000000000000000000000000000..74bfd65649a51dd824828984783aedb0e9bcacd0 GIT binary patch literal 71265 zcmYg&c|4VC_kPGwrrjh&Y>m=3i%b=Yk{q_J3?-)&N*OAdDzi#+#a0R zDuo7f3WwU1LUGjZx*whQ_xsssHr~lYyDmq(w_KX=bL^qq6 zSkIWjZ;5}73kl%ATwJ>P82*RH$J*3r#?5Ck1NfJj`!`r@m@(t83&Q_8^W)!Vd79bz z%$OloL;m4;d^mgWj2XW&Hk)j)Ilk*t$I@J z{Ml-h^M`hOM}D)z;I7K%bFoIj>*dQL%RDYy6b`M?``YF+9#*dBb9wIAvxceb_quLv z-{to#{8x8_5BvEKv;L;!pWkX*OAa)B{`^_{r<9b`T6Y6Y&8sPWuf~6R+#R^k$+V43 z`raV7E$iQApZeKRA2_e?t@5b+w#Vh@o3*$6cG`c*K3g|iQga3S_@92d-*#1wz8X35 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z5*r>T09I{b3u)^8-%|o%K*PUf3z4NAsuyN3RK~|!LmkLfZ6fY$in!hmEU7lOC+!>E z<7fetjGn-$hk<+wx%?UFm-S}2zAyc{LGKBnYUt&#Vdi^z;5Y z14w6Lo?2tbE($zMIMR(6(B=s0i^(^(pPpGv3@7Tybm0&@=S|K>McEym);jxDqXK=8 zNgU4FQEGvAcm@N}7J7nt!`E6vZ6>hNqw?QrUQ;z?wFmY94yazQ&)Q#?JN*Kx!XdV37O!3CkVcIl% zlUg=>zW&Q}J@8ZVE25|`eA|~*IXNXR7KDB+%If)kq|6$-xL|TVXEp7*Yx*G;%E?oh z4xdrIN&}YSFQJ&hj5^wYajCBW`Vzjo@_tvx5cozBnu1~^y}uw|5IJ*obD5(D +| 函数 | 存在域 | 值域 | +|:--------:|:------------------------------------------------------------:|:---------------------------------:| +| $\cot x$ | $x \in \{x \| x \neq k\pi, k \in \mathbb{Z}\}$ | $\mathbb{R}$ | +| $\sec x$ | $x \in \{x \| x \neq \frac{\pi}{2} k\pi, k \in \mathbb{Z}\}$ | $(-\infty, -1] \cup [1, +\infty)$ | +| $\csc x$ | $x \in \{x \| x \neq k\pi, k \in \mathbb{Z}\}$ | $(-\infty, -1] \cup [1, +\infty)$ | + +#### 周期性 + +直接瞪眼法 awa, 不难发现: + +1. $\cot (x + \pi) = \cfrac{1}{\tan (x + \pi)} = \cfrac{1}{\tan x} = \cot x \Rightarrow \cot x$ 的基本周期为 $\pi$ +2. $\sec (x + 2\pi) = \cfrac{1}{\cos (x + 2\pi)} = \cfrac{1}{\cos x} = \sec x \Rightarrow \sec x$ 的基本周期为 $2\pi$ +3. $\csc (x + 2\pi) = \cfrac{1}{\sin (x + 2\pi)} = \cfrac{1}{\sin x} = \csc x \Rightarrow \csc x$ 的基本周期为 $2\pi$ + +#### 奇偶性 + +先给出一个定理: + +:::{theorem} 定理 1 +对于任意的函数 $f(x)$, 它与 $\cfrac{1}{f(x)}$ 的奇偶性相同. +::: + +此定理是显然的. + +由此我们就知道: + +- $\cot x$ 为奇函数 +- $\sec x$ 为偶函数 +- $\csc x$ 为奇函数 + +#### 图像 + +都这样了咱就直接画图咯 + +![cot x](cot.png) +![sec x](sec.png) +![csc x](csc.png) + +#### 单调性 + +由上图, 显然: + +1. $\cot x$ 在每个区间 $(k\pi, (k + 1)\pi), k \in \mathbb{Z}$ 上单调递减 +2. $\sec x$ 在每个区间 $(2k\pi, (2k + 1)\pi), k \in \mathbb{Z}$ 上单调递增, 在每个区间 $((2k + 1)\pi, (2k + 2)\pi), k \in \mathbb{Z}$ 上单调递减 +3. $\csc x$ 在每个区间 $(2k\pi, (2k + 1)\pi), k \in \mathbb{Z}$ 上单调递增, 在每个区间 $((2k + 1)\pi, (2k + 2)\pi), k \in \mathbb{Z}$ 上单调递减 + +### 诱导公式 + +$2\pi$: + +1. $\cot (2\pi + x) = \cot x$ +2. $\sec (2\pi + x) = \sec x$ +3. $\csc (2\pi + x) = \csc x$ +4. $\cot (2\pi - x) = - \cot x$ +5. $\sec (2\pi - x) = \sec x$ +6. $\csc (2\pi - x) = - \csc x$ + +$\pi$: + +1. $\cot (\pi + x) = \cot x$ +2. $\sec (\pi + x) = - \sec x$ +3. $\csc (\pi + x) = - \csc x$ +4. $\cot (\pi - x) = - \cot x$ +5. $\sec (\pi - x) = - \sec x$ +6. $\csc (\pi - x) = \csc x$ + +$\frac{\pi}{2}$: + +1. $\cot \left(\frac{\pi}{2} + x\right) = - \tan x$ +2. $\sec \left(\frac{\pi}{2} + x\right) = - \csc x$ +3. $\csc \left(\frac{\pi}{2} + x\right) = \sec x$ +4. $\cot \left(\frac{\pi}{2} - x\right) = \tan x$ +5. $\sec \left(\frac{\pi}{2} - x\right) = \csc x$ +6. $\csc \left(\frac{\pi}{2} - x\right) = \sec x$ + +### 三角函数的导数 + +性质讲的差不多了那我们就上导数吧 awa + +1. $(\tan x)' = \left(\cfrac{\sin x}{\cos x}\right)' = \cfrac{\cos^2 x + \sin^2 x}{\cos^2 x} = \sec^2 x$ +2. $(\cot x)' = \left(\cfrac{1}{\tan x}\right)' = - \cfrac{\sec^2 x}{\tan^2 x} = -\csc^2 x$ +3. $(\sec x)' = \left(\cfrac{1}{\cos x}\right)' = \cfrac{\sin x}{\cos^2 x} = \sec x \tan x$ +4. $(\csc x)' = \left(\cfrac{1}{\sin x}\right)' = - \cfrac{\cos x}{\sin^2 x} = - \csc x \cot x$ + +$\uarr \uarr \uarr$ 上面的导数公式给我背熟!!! $\uarr \uarr \uarr$ + +## 反三角函数 + +嗯~ o(* ̄▽ ̄*)o +三角函数搞完了就可以看反三角函数啦awa + +### 反三角函数的定义 + +三角函数是由角求比值, 反三角函数就是由比值求角. +但是, 由于三角函数的周期性, 使得 6 个三角函数在 $\mathbb{R}$ 上都不是单射, 所以都没有反函数. +这样子, 我们就必须对定义域进行限制, 保证反函数的存在性. + +怎么限制呢?不妨直接选一个周期或半个周期长的区间, 在保证值域最大的基础上尽量靠近原点, 那我们就只需要考虑下面的函数: + +1. $y = \sin x, x \in \left[-\frac{\pi}{2}, \frac{\pi}{2}\right], y \in [-1, 1]$ +2. $y = \cos x, x \in [0, \pi], y \in [-1, 1]$ +3. $y = \tan x, x \in \left(-\frac{\pi}{2}, \frac{\pi}{2}\right), y \in \mathbb{R}$ diff --git a/content/post/courses/inverse-tri-func/sec.png b/content/post/courses/inverse-tri-func/sec.png new file mode 100644 index 0000000000000000000000000000000000000000..5b9ca5ad921985a90ed2ed3499f0c3d82dc520ea GIT binary patch literal 58966 zcmXtAc|4Tu_a21oWr=KQL&_49WQ%OY*s_&f)+tMBgpsn8U6gffF*1fivSk_BD-mNz z2vIbYEnD&S_B)UF`}?C$G0!~D{ha%p>s;qL=PuUF#DI%km>q>eaa}mCdl7}&MMI&O z@9t)S-(;vf#ll|Jw*g3V2d zmO^!j7AD4nxhOUU-bZ^bD$Mm#Iv#}7x!b)s`mVHa%fm@bY2ec-rNG&|n~U|E|Nh-x 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oxug3_d$9W%`9GY=n~is>0jXm{`b0TCAfC;$Ke literal 0 HcmV?d00001 From ab9e73dcc3764f348fa221e3146286075a7908f3 Mon Sep 17 00:00:00 2001 From: xieyuen Date: Sun, 29 Mar 2026 11:04:44 +0800 Subject: [PATCH 2/7] =?UTF-8?q?fix:=20=E4=BF=AE=E6=AD=A3=E5=85=A8=E9=94=99?= =?UTF-8?q?=E6=8E=92=E5=85=AC=E5=BC=8F=E6=8E=A8=E5=AF=BC=E4=B8=AD=E7=9A=84?= =?UTF-8?q?=E5=85=AC=E5=BC=8F=E6=8E=92=E7=89=88=E9=94=99=E8=AF=AF?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- content/post/articles/cute/wrongarrange.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/content/post/articles/cute/wrongarrange.md b/content/post/articles/cute/wrongarrange.md index 1773c3e..ea76018 100644 --- a/content/post/articles/cute/wrongarrange.md +++ b/content/post/articles/cute/wrongarrange.md @@ -113,7 +113,7 @@ $$ - 对于4个元素的全错排,3个元素排列正确就意味着4个元素排列正确,为什么重复计算? 这个我认为是容斥原理的计算规则.我们在集合中使用容斥原理时,是按交集的个数递增的顺序计算的,像 -$|A∪B∪C|=|A|+|B|+|C|-|A∩B|-|B∩C|-|A∩C|+|A∩B∩C|$($|X|$表示集合$X$中元素个数).你可以画Venn图,每一个 +$|A \cup B \cup C| = |A| + |B| + |C| - |A \cap B| - |B \cap C| - |A \cap C| + |A \cap B \cap C|$($|X|$表示集合$X$中元素个数).你可以画Venn图,每一个 圆圈代表一个元素的正确排列,就会发现其实我们要求的是“有元素正确排列”的情况,即所有集合的并集的元素个数. 由于针对集合的计算是正确的,所以即便有些集合是空集,算出来的结果也同样是符合真实状况的. From 39f932b2903fe28610e7f20e886295ee7b4bca81 Mon Sep 17 00:00:00 2001 From: xieyuen Date: Sun, 29 Mar 2026 15:50:18 +0800 Subject: [PATCH 3/7] refactor file struct and add award winners --- content/categories/notifications/_index.md | 9 +++++++++ .../answer.md" | 0 .../award-winners/index.md" | 19 ++++++++++++++++++ .../paper/figure1.png" | Bin .../paper/figure2.png" | Bin .../paper/index.md" | 0 6 files changed, 28 insertions(+) create mode 100644 content/categories/notifications/_index.md rename "content/post/exam-papers/2025\351\253\230\344\270\200\347\253\236\350\265\233/answer.md" => "content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/answer.md" (100%) create mode 100644 "content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/award-winners/index.md" rename "content/post/exam-papers/2025\351\253\230\344\270\200\347\253\236\350\265\233/paper/figure1.png" => "content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/paper/figure1.png" (100%) rename "content/post/exam-papers/2025\351\253\230\344\270\200\347\253\236\350\265\233/paper/figure2.png" => "content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/paper/figure2.png" (100%) rename "content/post/exam-papers/2025\351\253\230\344\270\200\347\253\236\350\265\233/paper/index.md" => "content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/paper/index.md" (100%) diff --git a/content/categories/notifications/_index.md b/content/categories/notifications/_index.md new file mode 100644 index 0000000..53af7d5 --- /dev/null +++ b/content/categories/notifications/_index.md @@ -0,0 +1,9 @@ +--- +title: Notifications +description: 通知 + +# Badge style +style: + background: "rgb(15, 77, 148)" + color: "#fff" +--- \ No newline at end of file diff --git "a/content/post/exam-papers/2025\351\253\230\344\270\200\347\253\236\350\265\233/answer.md" "b/content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/answer.md" similarity index 100% rename from "content/post/exam-papers/2025\351\253\230\344\270\200\347\253\236\350\265\233/answer.md" rename to "content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/answer.md" diff --git "a/content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/award-winners/index.md" "b/content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/award-winners/index.md" new file mode 100644 index 0000000..d0754e2 --- /dev/null +++ "b/content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/award-winners/index.md" @@ -0,0 +1,19 @@ +--- +title: "2025年河源中学高一年级数学竞赛获奖名单" +description: 2025年河源中学高一年级数学竞赛获奖名单 +date: 2026-03-29 +image: +math: false +license: All Right Reserved, 河源中学数学研究协会 +hidden: false +comments: true +draft: true +categories: + - Contests + - Notifications +tags: + - 高一竞赛 + - 获奖名单 +--- + + diff --git "a/content/post/exam-papers/2025\351\253\230\344\270\200\347\253\236\350\265\233/paper/figure1.png" "b/content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/paper/figure1.png" similarity index 100% rename from "content/post/exam-papers/2025\351\253\230\344\270\200\347\253\236\350\265\233/paper/figure1.png" rename to "content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/paper/figure1.png" diff --git "a/content/post/exam-papers/2025\351\253\230\344\270\200\347\253\236\350\265\233/paper/figure2.png" "b/content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/paper/figure2.png" similarity index 100% rename from "content/post/exam-papers/2025\351\253\230\344\270\200\347\253\236\350\265\233/paper/figure2.png" rename to "content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/paper/figure2.png" diff --git "a/content/post/exam-papers/2025\351\253\230\344\270\200\347\253\236\350\265\233/paper/index.md" "b/content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/paper/index.md" similarity index 100% rename from "content/post/exam-papers/2025\351\253\230\344\270\200\347\253\236\350\265\233/paper/index.md" rename to "content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/paper/index.md" From ca186035c2a9ca9b49342d359296e3db7a751a39 Mon Sep 17 00:00:00 2001 From: xieyuen Date: Sun, 29 Mar 2026 17:31:24 +0800 Subject: [PATCH 4/7] [Contest] Award winners (#5) * Upload original file * Award winners --- .../award-winners/index.md" | 38 +++++++++++++++++- .../award-winners/origin.doc" | Bin 0 -> 31744 bytes 2 files changed, 37 insertions(+), 1 deletion(-) create mode 100644 "content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/award-winners/origin.doc" diff --git "a/content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/award-winners/index.md" "b/content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/award-winners/index.md" index d0754e2..5b46b01 100644 --- "a/content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/award-winners/index.md" +++ "b/content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/award-winners/index.md" @@ -7,7 +7,7 @@ math: false license: All Right Reserved, 河源中学数学研究协会 hidden: false comments: true -draft: true +draft: false categories: - Contests - Notifications @@ -16,4 +16,40 @@ tags: - 获奖名单 --- +| 名 | 原班 | 等 | 分 | 名 | 原班 | 等 | 分 | +| --- | --- | --- | --- | --- | --- | --- | --- | +| 黄思浩 | 1 | 一 | 64 | 钟浩轩 | 1 | 三 | 47 | +| 巫烨 | 10 | 一 | 61 | 陈天扬 | 13 | 三 | 47 | +| 赖科艺 | 2 | 一 | 60 | 蒋康明 | 12 | 三 | 46 | +| 刘铠闻 | 1 | 二 | 58 | 徐国盛 | 1 | 三 | 45 | +| 黄新楚 | 2 | 二 | 56 | 张煜茹 | 3 | 三 | 44 | +| 黄润达 | 2 | 二 | 55 | 叶景昊 | 18 | 三 | 42 | +| 何岱霖 | 13 | 二 | 54 | 戴传能 | 18 | 三 | 42 | +| 罗梓源 | 13 | 二 | 52 | 刘德诚 | 2 | 三 | 41 | +| 邹健 | 2 | 二 | 50 | 刘星宇 | 1 | 三 | 40 | +| 吴文炫 | 2 | 二 | 50 | 赖宇翔 | 10 | 三 | 40 | +| 谢晟 | 3 | 二 | 50 | | | | | + +## 11题评分说明 + +1. 对于(1)题,无论按原本试卷上的错误条件,或按更正后的正确条件作答,只要给出结论并证明,一律给分.对于划掉错误条件下的解题过程的,只要能被识别出来,仍然给分. +2. 对于(2)题,按解题步骤酌情给分. + +**对命题的疏忽和造成的评分问题深感抱歉!!!** + +## 原创题得分王 + +在数协社干的原创试题中获得最高分的同学,在此予以表扬: + +第9题圆与直线(满分16分):黄思浩(1班)11分、刘星宇(1班)11分 +第10题函数与不等式(满分20分):刘铠闻(1班)19分 + +## 更多信息 + +试题答案获取见数协官网: + + +活动最终解释权归河源中学数学研究协会 + +感谢您的参与(*´∀ ˋ*) diff --git "a/content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/award-winners/origin.doc" "b/content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/award-winners/origin.doc" new file mode 100644 index 0000000000000000000000000000000000000000..aab8cf0b53eef85d1dd6c1fb16c0301fde8dc662 GIT binary 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26942a1865d72ba8191668cb20e784bd52481ef1 Mon Sep 17 00:00:00 2001 From: xieyuen Date: Sun, 29 Mar 2026 17:39:20 +0800 Subject: [PATCH 5/7] Revise award winners list and scoring criteria Updated the award winners table and added a new section for scoring criteria. --- .../award-winners/index.md" | 40 +++++++++++++------ 1 file changed, 27 insertions(+), 13 deletions(-) diff --git "a/content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/award-winners/index.md" "b/content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/award-winners/index.md" index 5b46b01..fa7f6af 100644 --- "a/content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/award-winners/index.md" +++ "b/content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/award-winners/index.md" @@ -16,19 +16,33 @@ tags: - 获奖名单 --- -| 名 | 原班 | 等 | 分 | 名 | 原班 | 等 | 分 | -| --- | --- | --- | --- | --- | --- | --- | --- | -| 黄思浩 | 1 | 一 | 64 | 钟浩轩 | 1 | 三 | 47 | -| 巫烨 | 10 | 一 | 61 | 陈天扬 | 13 | 三 | 47 | -| 赖科艺 | 2 | 一 | 60 | 蒋康明 | 12 | 三 | 46 | -| 刘铠闻 | 1 | 二 | 58 | 徐国盛 | 1 | 三 | 45 | -| 黄新楚 | 2 | 二 | 56 | 张煜茹 | 3 | 三 | 44 | -| 黄润达 | 2 | 二 | 55 | 叶景昊 | 18 | 三 | 42 | -| 何岱霖 | 13 | 二 | 54 | 戴传能 | 18 | 三 | 42 | -| 罗梓源 | 13 | 二 | 52 | 刘德诚 | 2 | 三 | 41 | -| 邹健 | 2 | 二 | 50 | 刘星宇 | 1 | 三 | 40 | -| 吴文炫 | 2 | 二 | 50 | 赖宇翔 | 10 | 三 | 40 | -| 谢晟 | 3 | 二 | 50 | | | | | +[*源文件*](origin.doc) + +## 获奖名单 + +| 名 | 原班 | 等 | 分 | +| --- | --- | --- | --- | +| 黄思浩 | 1 | 一 | 64 | +| 巫烨 | 10 | 一 | 61 | +| 赖科艺 | 2 | 一 | 60 | +| 刘铠闻 | 1 | 二 | 58 | +| 黄新楚 | 2 | 二 | 56 | +| 黄润达 | 2 | 二 | 55 | +| 何岱霖 | 13 | 二 | 54 | +| 罗梓源 | 13 | 二 | 52 | +| 邹健 | 2 | 二 | 50 | +| 吴文炫 | 2 | 二 | 50 | +| 谢晟 | 3 | 二 | 50 | +| 钟浩轩 | 1 | 三 | 47 | +| 陈天扬 | 13 | 三 | 47 | +| 蒋康明 | 12 | 三 | 46 | +| 徐国盛 | 1 | 三 | 45 | +| 张煜茹 | 3 | 三 | 44 | +| 叶景昊 | 18 | 三 | 42 | +| 戴传能 | 18 | 三 | 42 | +| 刘德诚 | 2 | 三 | 41 | +| 刘星宇 | 1 | 三 | 40 | +| 赖宇翔 | 10 | 三 | 40 | ## 11题评分说明 From 00f0866b52ae3ec745ba83eef64f007281d157db Mon Sep 17 00:00:00 2001 From: Website-xieyuen <131447547+Website-xieyuen@users.noreply.github.com> Date: Tue, 31 Mar 2026 12:48:49 +0800 Subject: [PATCH 6/7] Fix: formatting of participation gratitude message (#7) --- .../award-winners/index.md" | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git "a/content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/award-winners/index.md" "b/content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/award-winners/index.md" index fa7f6af..f951cda 100644 --- "a/content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/award-winners/index.md" +++ "b/content/post/exam/contests/2025\351\253\230\344\270\200\347\253\236\350\265\233/award-winners/index.md" @@ -65,5 +65,5 @@ tags: 活动最终解释权归河源中学数学研究协会 -感谢您的参与(*´∀ ˋ*) +感谢您的参与`(*´∀ ˋ*)` From f78861123d50d65eafc4bbca84f63fefc151b115 Mon Sep 17 00:00:00 2001 From: Website-xieyuen <131447547+Website-xieyuen@users.noreply.github.com> Date: Wed, 1 Apr 2026 20:42:38 +0800 Subject: [PATCH 7/7] Add video recommendation for inverse trigonometric functions Added a section recommending a video resource for inverse trigonometric functions. --- content/post/courses/inverse-tri-func/index.md | 8 ++++++++ 1 file changed, 8 insertions(+) diff --git a/content/post/courses/inverse-tri-func/index.md b/content/post/courses/inverse-tri-func/index.md index f75d105..5aaa2f4 100644 --- a/content/post/courses/inverse-tri-func/index.md +++ b/content/post/courses/inverse-tri-func/index.md @@ -19,6 +19,14 @@ tags: 反三角函数是三角函数的反函数, 是微积分学中不可避免要涉及到的一类基本初等函数, 但是高中教材中完全没有提及. 本文将课本没有的三角函数及其反函数的定义与性质进行总结, 以供同学们参考. +## 推荐视频 + +B 站[宋浩老师](https://space.bilibili.com/66607740)的课还是很不错的, 可以去看看 + +{{< bilibili "BV1Eb411u7Fw" >}} + +看完你就不需要继续看这篇文章咯 + ## 三角函数的扩充 在三角函数中, 最基本的一定是 $\sin x$ 和 $\cos x$. 课本已经给出了正弦、余弦和正切函数的详细定义与性质分析, 这里不再赘述. 下面我们讲一下这三个个三角函数: