From b35cd5ebb86d060b4f67cc351c71f4336abded43 Mon Sep 17 00:00:00 2001 From: Zengtudor Date: Thu, 22 Aug 2024 20:00:48 +0800 Subject: [PATCH] update --- Physics/1.2.md | 45 ++++++++++++++++++++++++++++++++++----------- Physics/1.2.pdf | Bin 65969 -> 164642 bytes 2 files changed, 34 insertions(+), 11 deletions(-) diff --git a/Physics/1.2.md b/Physics/1.2.md index 6e13e76..510bf7c 100644 --- a/Physics/1.2.md +++ b/Physics/1.2.md @@ -47,12 +47,12 @@ ## 乘法公式 -| 文字 | 公式 | -| -------------- | ------------------------------ | -| 平方差公式 | $(a+b)(a-b)=a^2-b^2$ | -| 完全平方公式 | $(a\pm b)^2=(a^2+2ab+b^2)$ | -| 两数立方和公式 | $(a+b)+(a^2-ab+b^2)=a^3+b^3$ | -| 两数立方差公式 | $(a-b)+(a^2+ab+b^2)=a^3-b^3$ | +| 文字 | 公式 | +| -------------- | ----------------------------------- | +| 平方差公式 | $(a+b)(a-b)=a^2-b^2$ | +| 完全平方公式 | $(a\pm b)^2=(a^2\pm2ab+b^2)$ | +| 两数立方和公式 | $(a+b)\times(a^2-ab+b^2)=a^3+b^3$ | +| 两数立方差公式 | $(a-b)\times(a^2+ab+b^2)=a^3-b^3$ | ## 有关圆的知识 @@ -76,8 +76,31 @@ | 角度 | 正弦$sin\theta$ | 余弦$cos\theta$ | 正切$tan\theta$ | | -------------- | ----------------- | ----------------- | ----------------- | | $0\degree$ | 0 | 1 | 0 | -| $30\degree$ | $1\over2$ | $\sqrt3\over2$ | $\sqrt3 | -| $45\degree$ | $\sqrt2\over2$ | $\sqrt2\over2$ | | -| $60\degree$ | $\sqrt3\over2$ | $1\over2$ | | -| $90\degree$ | | | | -| $180\degree$ | | | | +| $30\degree$ | $1\over2$ | $\sqrt3\over2$ | $\sqrt3\over 3$ | +| $45\degree$ | $\sqrt2\over2$ | $\sqrt2\over2$ | $1$ | +| $60\degree$ | $\sqrt3\over2$ | $1\over2$ | $\sqrt3$ | +| $90\degree$ | 1 | 0 | $+\infty$ | +| $180\degree$ | 0 | 1 | $+\infty$ | + +## 三个三角函数转换公式 + +$$ +sin^2\theta+cos^2\theta=1 +$$ + +$$ +tan\theta={sin\theta\over cos\theta} +$$ + +$$ +cot\theta={cos\theta\over sin\theta} +$$ + +## 三角形的四心 + +| 名称 | 含义 | +| ---- | -------------------------- | +| 重心 | 每条中线的三等分点 | +| 垂心 | 三条高 | +| 外心 | 垂直平分线的交点(外接圆) | +| 内心 | 角平分线的交点(内接圆) | diff --git a/Physics/1.2.pdf b/Physics/1.2.pdf index 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