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1

三角函数3:图像与性质1

http://www.tidean.com/entry/164871

Newcommand{ sslash}{/ } $ $ newcommand{ lvec}[1]{ overrightarrow{#1} } $ $ newcommand{ nstar}{ { mathbf N *} } $. 一、$y= sin x$、$y= cos x$、$y= tan x$ 的图像与性质 $k in { mathbf Z}$. Left[2k pi - dfrac{ pi}{2},2k pi dfrac{ pi}{2} right]$ 为增,$ left[2k pi dfrac{ pi}{2},2k pi dfrac{3 pi}{2} right]$ 为减. Left(k pi,0 right)$. X= k pi dfrac{ pi}{2}$. Left[2k pi,2k pi pi right]$ 为减,$ left[2k pi - pi,2k pi right]$ 为增. Left(k pi dfrac{ pi}{2},0 right)$. X= k pi $. Y = tan x$. Left( dfrac{k pi}{2} , 0 right)$.

2

三角函数2:公式3

http://www.tidean.com/entry/150478

Newcommand{ sslash}{/ } $ $ newcommand{ lvec}[1]{ overrightarrow{#1} } $ $ newcommand{ nstar}{ { mathbf N *} } $. Sin( alpha pmβ)=sin alpha cos beta pm cos alpha sin beta$. Cos( alpha mp beta)= cos alpha cos beta pm sin alpha sin beta$. Tan( alpha pm beta)= dfrac{ tan alpha pm tan beta}{1 mp tan alpha tan beta}$. Sin 2 alpha=2 sin alpha cos alpha$. Begin{align}& cos 2 alpha &= cos 2 alpha- sin 2 alpha &=2 cos 2 alpha-1 &=1-2 sin 2 alpha end{align}$. Tan 2 alpha= dfrac{2 tan alpha}{1- tan 2 alpha}$. Begin...

3

三角函数2:公式2

http://www.tidean.com/entry/106492

Newcommand{ sslash}{/ } $ $ newcommand{ lvec}[1]{ overrightarrow{#1} } $ $ newcommand{ nstar}{ { mathbf N *} } $. 平方关系 $ sin 2 alpha cos 2 alpha=1( alpha in { mathbf R})$. 商数关系 $ tan alpha= dfrac{ sin alpha}{ cos alpha} ( alpha ne k pi frac{ pi}{2},k in { mathbf Z}) $. 1 利用 $ sin 2 alpha cos 2 alpha=1$ 可以实现角 $ alpha$ 的正弦、余弦的互化,利用 $ dfrac{ sin alpha}{ cos alpha}= tan alpha$ 可以实现角 $ alpha$ 的弦切互化. 3 注意公式逆用及变形应用 $1= sin 2 alpha cos 2 alpha$,$ sin 2 alpha=1- cos 2 alpha$,$ cos 2 alpha=1- sin 2 alpha$.

4

简易逻辑2

http://www.tidean.com/entry/178441

Newcommand{ sslash}{/ } $ $ newcommand{ lvec}[1]{ overrightarrow{#1} } $ $ newcommand{ nstar}{ { mathbf N *} } $. 命题中的 且 、 或 、 非 叫做逻辑联结词. 所有的 任意一个 ,用符号 $ forall$ 表示. 存在一个 至少有一个 ,用符号 $ exists$ 表示. 含有全称量词的命题,叫做全称命题 对 $M$ 中任意一个 $x$ ,有 $p(x)$ 成立 可用符号简记为 $ forall x in M , p(x)$. 含有存在量词的命题,叫做存在性命题 存在 $M$ 中的一个 $x 0$,使 $p(x 0)$ 成立 可用符号简记为 $ exists x 0 in M, p(x 0)$. Forall x in M,p(x)$. Exists x 0 in M$,非 $p(x 0)$. Exists x 0 in M , p(x 0)$. Forall x in M$ , 非 $p(x)$. 1) $p land q $ 中一假即假. 2) $p lor q $中一真必真.

5

简易逻辑1

http://www.tidean.com/entry/102322

Newcommand{ sslash}{/ } $ $ newcommand{ lvec}[1]{ overrightarrow{#1} } $ $ newcommand{ nstar}{ { mathbf N *} } $. 1)如果 $p q$ ,则 $p$ 是 $q$ 的充分条件,$q$ 是 $p$ 的必要条件. 2)如果 $p q$ ,$q p$ ,则 $p$ 是 $q$ 的充要条件. 2013 南通一模)已知命题 $p$ 正数 $a$ 的平方不等于 $0$ ,命题 $q$ 若 $a$ 不是正数,则它的平方等于 $0$ ,则 $p$ 是$q$ 的 (填 逆命题 否命题 逆否命题 或 否定 ). 因为命题 $q$ 的题设与结论恰好是命题 $p$ 的题设与结论的否定,故两者之间互否. 在 $ triangle ABC$ 中,若 $ angle C=90 circ$,则 $ angle A$、$ angle B$ 都是锐角 的否命题为 . 原命题的条件 在 $ triangle ABC$ 中,$ angle C=90 circ$,. 依题意,当 $m=-2$ 时,$ overrightarrow{a...

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