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excel中varp函数的使用方法(var公式excel)

来源:www.0djx.com  时间:2023-01-11 07:55   点击:295  编辑:表格网  手机版

1. var公式excel

以最上面为A1单元格为例:在A列后面插入一辅助列,在新的B1中输入以下公式,下拉填充:=right(right(a1,len(a1)-find(";",a1)),len(right(a1,len(a1)-find(";",a1)))-1)将该列加和即为总数,单位“万元”

2. 协方差cov与方差var公式

cov(x,y)=EXY-EX*EY

协方差的定义,EX为随机变量X的数学期望,同理,EXY是XY的数学期望,挺麻烦的,建议你看一下概率论cov(x,y)=EXY-EX*EY。

协方差的定义,EX为随机变量X的数学期望,同理,EXY是XY的数学期望,挺麻烦的,建议你看一下概率论。

举例:

Xi 1.1 1.9 3

Yi 5.0 10.4 14.6

E(X) = (1.1+1.9+3)/3=2

E(Y) = (5.0+10.4+14.6)/3=10

E(XY)=(1.1×5.0+1.9×10.4+3×14.6)/3=23.02

Cov(X,Y)=E(XY)-E(X)E(Y)=23.02-2×10=3.02

此外:还可以计算:D(X)=E(X^2)-E^2(X)=(1.1^2+1.9^2+3^2)/3 - 4=4.60-4=0.6 σx=0.77

D(Y)=E(Y^2)-E^2(Y)=(5^2+10.4^2+14.6^2)/3-100=15.44 σy=3.93

X,Y的相关系数:

r(X,Y)=Cov(X,Y)/(σxσy)=3.02/(0.77×3.93) = 0.9979

表明这组数据X,Y之间相关性很好!

拓展资料

协方差(Covariance)在概率论和统计学中用于衡量两个变量的总体误差。而方差是协方差的一种特殊情况,即当两个变量是相同的情况。

协方差表示的是两个变量的总体的误差,这与只表示一个变量误差的方差不同。 如果两个变量的变化趋势一致,也就是说如果其中一个大于自身的期望值,另外一个也大于自身的期望值,那么两个变量之间的协方差就是正值。 如果两个变量的变化趋势相反,即其中一个大于自身的期望值,另外一个却小于自身的期望值,那么两个变量之间的协方差就是负值。

3. var公式怎么用

样本方差是统计学(数理统计)的一个基本概念,它的定义如下:“样本中各数据与样本平均数的差的平方的平均数叫做样本方差.”

现在把统计学里的“样本方差”的概念以“VAR”表示,成为我们编制公式时的一种“语言”(如同OPEN为开盘价,CLOSE为收盘价,HIGH为最高价,LOW为最低价等等)。

4. var公式计算

  VaR为Value at risk的简写,中文意为风险价值方法,指未来一定时间内,在给定的条件下,任何一种金融工具和品种的市场价格的潜在最大损失。  用数学公式可表示VaR为 Prob(?P>VaR)= 1-c 。其中?P为该金融资产在持续期内的损失,VaR为置信水平c下处于风险中的价值。  通常,某金融资产的价值可以表示为P = P0(1+R)。其中P0为资产组合的初始价值,R是持有期内的投资收益率,设R的期望回报和波动性分别为μ和σ.如果在某一置信水平c下,金融资产的最低价值为P*= P 0(1+R),则根据VAR值定义,相对于证券组合价值期望回报的VAR可以表示为VaR=E(P)-P* =-P0(R*-μ) 若不以金融资产价值的均值为基准,可以定义绝对 VaR=P0-P*=-P0(R*-μ)。

5. var公式性质

数学内插法即“直线插入法”。其原理是,若A(i1,b1),B(i2,b2)为两点,则点P(i,b)在上述两点确定的直线上。而工程上常用的为i在i1,i2之间,从而P在点A、B之间,故称“直线内插法”。

数学内插法说明点P反映的变量遵循直线AB反映的线性关系。

上述公式易得。A、B、P三点共线,则:(b-b1)/(i-i1)=(b2-b1)/(i2-i1)=直线斜率,变换即得所求。

内插法又称插值法。根据未知函数f(x)在某区间内若干点的函数值,作出在该若干点的函数值与f(x)值相等的特定函数来近似原函数f(x),进而可用此特定函数算出该区间内其他各点的原函数f(x)的近似值,这种方法,称为内插法。按特定函数的性质分,有线性内插、非线性内插等;按引数(自变量)个数分,有单内插、双内插和三内插等。

6. var公式表示

基本三角函数的计算:

角的正弦值 = 对边 / 斜边

角的余弦值 = 邻边 / 斜边

角的正切值 = 对边 / 邻边

角度制与弧度制的相互转换:

弧度 = 角度 * Math.PI / 180

角度 = 弧度 * 180 / Math.PI

计算两点间距离:

dx = x2 – x1;

dy = y2 – y1;

dist = Math.sqrt(dx*dx + dy*dy);

缓动公式:

sprite.x += (targetX - sprite.x) * easing;//easing为缓动系数变量

sprite.y += (targetY - sprite.y) * easing;

弹性公式:

vx += (targetX - sprite.x) * spring;//spring为弹性系数

vy += (targetY - sprite.y) * spring;

sprite.x += (vx *= friction);//friction为摩擦力

sprite.y += (vy *= friction);

偏移弹性公式:

var dx:Number = sprite.x - fixedX;

var dy:Number = sprite.y - fixedY;

var angle:Number = Math.atan2(dy, dx);

var targetX:Number = fixedX + Math.cos(angle) * springLength;

var targetY:Number = fixedX + Math.sin(angle) * springLength;

向鼠标旋转(或向某点旋转)

dx = mouseX - sprite.x;

dy = mouseY - sprite.y;

sprite.rotation = Math.atan2(dy, dx) * 180 / Math.PI;

波形运动:

public function onEnterFrame1(event:Event):void {

ball.y=centerScale+Math.sin(angle)*range;

angle+=speed;

}

心跳:

public function onEnterFrame1(event:Event):void {

7. var公式mu+z(x)

Adobe Premiere是Adobe家族的一款剪辑软件,它给我的感觉就是入门快、功能强大,无论是对于新手还是专业人士,PR在大部分情况下都是很友好的。

认识PR

Pr全称Adobe Premiere,是Adobe公司开发的一款视频剪辑&编辑软件。主要用于视频采集、视频剪辑、调色、添加字幕、编辑音频、渲染输出。

Premiere提供了采集、剪辑、调色、美化音频、字幕添加、输出、DVD刻录的一整套流程,并和其他Adobe软件高效集成,使用户足以完成在编辑、制作、工作流上遇到的所有挑战,满足用户创建高质量作品的要求。

下载PR软件

Adobe官网下载

进入Adobe官网进行下载https://www.adobe.com/cn/products/premiere.html

其他网页下载

1、打开浏览器今日头条搜索3D溜溜网,进入官网

2、打开浏览器搜索3D溜溜网,进入官网,点击上面【···】三个点之后选择【软件插件】里的【羽兔网软件下载】

3、选择【常用软件】里的【视频制作】

4、向下滑,在下面找到PR2018版本的进行【软件下载】,里面还有其他版本,这里选择的是适配win7的。

PR窗口介绍

Premiere软件由菜单栏、常用工具栏、时间轴、侧边面板栏(组件窗口)组成。主工作区有素材(项目)管理窗口、素材预览窗口、视频监视器窗口、时间轴窗口、调音台窗口、调色窗口等。

菜单栏

菜单栏可以说是整个软件的功能导图,为软件中大多数功能提供了菜单入口,例如PR软件中的绝大多数功能在对应的菜单栏中都可以找到。

功能窗口切换区域:(组件、编辑、颜色、效果、音频、字幕、库......)

功能窗口切换区域是软件为剪辑、调色、音频、字幕等不同功能定义的界面布局方案。点击对应的功能,软件会自动切换到使用该功能时的界面布局。

源素材预览窗口

源窗口主要是为项目面板中素材(视频、音频、图片)提供实时预览,双击项目面板中的素材即可在源窗口中进行播放预览。

节目监视窗口

节目窗口主要用于监视时间线上剪辑的画面,可以实时播放。

项目面板

项目面板主要是用于项目及素材的管理,我们导入到软件中的素材及新建的序列、字幕等素材全部都存放在项目面板中。

时间线窗口

时间线窗口可以简单理解为剪辑工作台,我们对素材的剪辑工作全部都是在时间线面板中操作完成。时间线窗口又可分为视频轨道和音频轨道。

工具栏

工具栏集合了所有视频剪辑工具,当然有一些是辅助剪辑工具。

选择工具(快捷键:V)

顾名思义,它的作用就是用来选择东西的,不过在有的时候它也会变为其它的形状,作用也随之改变。

向前选择轨道工具(快捷键:A)

使用此工具可以选择该轨道上以后的所有素材,视音频链接在一起的则音频同时也被选中;按住Shift键可以变为多轨道选择工具,此时单头变为双头,即使是单独的声音(比如音效、音乐等)也会被同时选中。

波纹编辑工具(快捷键:B)

使用此工具可以改变一段素材的入点和出点,这段素材后面的会自动吸附上去,总长度发生改变。

剃刀工具(快捷键:C)

pr中导入素材之后,利用剃刀工具切割开视频,视频就分开为多段了,可以分别剪辑切割后的每一段视频,包括删除、添加效果等。

外滑工具(快捷键:U)

作用于一段素材,用来同时改变此段素材的入点和出点。

钢笔工具(快捷键:P)

这个工具和字幕中的钢笔工具是一样,主要用来绘制形状。选中此工具,在需要的位置点击一下确定起点,直接点其它位置可以绘制直线,而在点第二个点的同时按住鼠标不放并进行拖拽可以绘制曲线;它还有一个作用就是进行关键帧的选择。

手形工具(快捷键:H)

点击鼠标左键,在时间轴上拖动,移动时间轴上显示素材的位置。当程序监视器放大时。拖放程序监视器中的可移动显示区域以观察细节。

文字工具(快捷键:T)

文字工具即在画面中输入我们想要的文字。

效果面板

效果面板集合了很多视频和音频效果控件,对视频或者音频添加模糊及转场等效果时,需要在效果面板中找到对应的效果控件然后添加到时间线上的剪辑。

效果控件面板

效果控件面板是对已经添加到素材上的效果进行参数调节的窗口。

音轨混合器窗口

对音频进行声道和音量调节的窗口,当然也可以通过这个窗口进行现场录音。

PR剪辑教程

创建项目

首先新建项目,暂存盘里的地址栏跟项目一样就可以。

新建序列

新建序列,选择1080p25,点击确定,就建立了一个时间线。

一般的剪辑软件里边都有现成的预设,只要知道这个尺寸就行,高清格式选择1080P或者720P都行。

导入素材

在项目列表双击,找到我们的素材,按住shift一块儿导入,导入之后可以对素材进行分类,让我们可以看的更仔细一些。(养成一个好的分类习惯,有助于提高我们工程的有趣性和效率,以后打包工程的整理都非常的有好处)。

拖入时间线

素材分类好之后,把视频音频素材按住shift一起都拖拽到时间线里。

设置比例

发现视频素材的大小不一,我们调整视频整体比例大小。找到信息,看见比例为640*360,在我们新建的时候不是这个比例,我们在序列里进行更改设置为640*360,这样时间线就跟我们相匹配了。

编辑视频

导入素材之后,我们开始对视频进行剪辑。

添加效果

添加效果,让视频看起来更流畅。

添加字幕

添加结尾字幕。

导出

剪辑完成,导出成品。

PR导出格式一般用MOV、mp4、AVI等等。PR输出视频的时候,要求不一样,输出的格式的就不一样。因为没有统一的标准,要根据需求和目的才能定什么是合适的。

1、如果想输出文件后继续进行编辑,一般推荐输出MOV。

2、如果输出文件后直接就要观看,或传到视频网站。推荐输出H.264,即mp4。

3、如果输出文件给电视台标清播出,就输出AVI格式。

成品

下面这张是成品

这里用的是PR2018版本

PR基础快捷键

1、按i可以设置入点,O可以设置出点。

2、Shift+delete键可以删除视频同时,把视频之间的间隙去掉;Ctrl+Z撤销。

3、向前选择轨道工具(A)和链接选择项的结合使用可以删除选择点后面的视频和音频

4、向前选择轨道工具(A)和取消链接选择项的结合使用按shift键可单独删除视频,保留音频。

5、按Q键可删除剪辑的开始,按W键可删除剪辑的结尾,但是它们会从每个音轨中删除内容,如果有多层音轨,这个快捷键就不适用,可以通过锁定音频轨道来避免音频被删除。

6、按光标键→,按一下前进一帧,按Shift键+光标键,一下会前进5帧。

7、alt+拖动素材=复制

常用的快捷键如下:

注:如果自己不适应默认的快捷键可以在PR界面快捷键设置修改,步骤如下:

打开快捷键界面有两种方法:第一种方法,打开PR后,在菜单栏找到编辑选项下的快捷键菜单,单击后就会弹出设置界面。第二种方法,打开PR后,我们直接使用快捷键Ctrl+Alt+K后,也会弹出设置界面。

打开快捷键界面后在搜索框里我们直接输入想要添加的快捷键功能,然后在空白处单击鼠标,就会产生一个框,按下要设置的快捷键,最后点击确定保存设置,这样就快捷键就设置好了。

PR视频特效

添加滤镜

首先就是滤镜的位置是在左下角的【效果】选项里面,如下图箭头指向所示:

里面的滤镜很多,可以选择自己喜欢的滤镜进行使用,如下图箭头指向所示:

然后,我们直接将滤镜拖拽到素材身上就可以进行使用了,如下图箭头指向所示:

调整滤镜的内部可调节参数,素材的效果就能实时预览。点击前面的【FX】可以进行滤镜效果的开启以及关闭,如下图箭头指向所示:

效果里面,除了视频滤镜,还有音频滤镜以及各种转场可用,如下图箭头指向所示:

添加字幕

在工具栏,点击文字工具;

使用文字工具点击视频,在文字框中输入字幕,就添加字幕成功了。

视频的删减

导入完素材之后我们将素材拖到右边,便能对视频素材进行编辑了(点击播放按钮可预览)。接下来我们讲一下视频内容的删减。

比如说:我们觉得某一段内容不好,想把它删掉,那么该怎么办呢?在PR中我们有两种方法:

1、选择左侧工具栏的刻刀工具,在想要删去内容的两头进行点击,然后即可将商品分割成三段,可从中选择自己不想要的内容;

2、直接从末尾拖动即可(只能对开头或末尾内容进行删减)。

视频的倍速播放

视频的倍速播放在PR中很容易就能实现了:右键-速度/持续时间。选择速度(百分比,如200%就是两倍速) ,点击【倒放速度】就能倒放了。

音乐淡出效果

添加音乐的方法和添加视频的方法一样,导入以后拖动到右边就可以了。删减运用上述方法也是可以完成的。

音乐淡出的效果:

添加完音频后,拉开轨道,点击左下的小按钮,选择:轨道关键帧-音量;

选择:添加-移除关键帧按钮,在想要淡入、淡出的地方添加关键帧,即可对音量进行修改,完成淡入、淡出的效果;

如果你是第一次使用PR并且佩戴耳机的话,要到PR的【编辑】-【首选项】-【音频硬件】里的【默认输出】修改输出设备为:耳机。

音效增益

打开PR软件,将音频导入进去,拖到右下方的【时间轴】操作区;

右击鼠标,点击音轨,在出现的选项中点击【音频增益】;

在【音频增益】页面,选择【将增益设置为】;

输入合适的音频值,负数表示减少,完成后点击【确定】。

视频转场

首先打开电脑上的PR,打开项目文件后,选择右侧的【效果】面板,效果面板中有音频效果、音频过渡,视频效果、视频过渡;

鼠标点开【视频过渡】,其中有7类转场特效,我们这里点击进入【溶解】,选择【溶解】下的【交叉溶解】;

选择【交叉溶解】拖动到视频上,可以看到我们可以将转场放置到视频末尾,视频开头或两段视频中间,这里选择【视频中间】;

插入完成后我们双击此转场,进入【设置过渡持续时间】,拖动蓝色字体即可增加或减少时间。

成品:

%3Chowto_content%3E[{"type":"paragraph","attrs":{"is_abstract":true},"children":[{"type":"text","text":"Adobe Premiere是Adobe家族的一款剪辑软件,它给我的感觉就是入门快、功能强大,无论是对于新手还是专业人士,","id":""},{"type":"text","text":"PR","id":""},{"type":"text","text":"在大部分情况下都是很友好的。","id":""}],"text":"","id":"doxcnnUr3YSjnT8yfxx1JfEA7Zb"},{"type":"heading","attrs":{"level":1},"children":[{"type":"text","text":"认识PR","id":""}],"text":"","id":"doxcnR9osBfOEgCeh8vdA4Ct8Fh"},{"type":"paragraph","children":[{"type":"text","text":"Pr全称Adobe Premiere,是Adobe公司开发的一款视频剪辑\u0026编辑软件。主要用于视频采集、视频剪辑、调色、添加字幕、编辑音频、渲染输出。","id":""}],"text":"","id":"doxcnfu2kKYWNcR9F9gXR89OfKc"},{"type":"paragraph","children":[{"type":"text","text":"Premiere提供了采集、剪辑、调色、美化音频、字幕添加、输出、DVD刻录的一整套流程,并和其他Adobe软件高效集成,使用户足以完成在编辑、制作、工作流上遇到的所有挑战,满足用户创建高质量作品的要求。","id":""}],"text":"","id":"doxcnGdxJRqeFSHIHkd0wQ1OdRh"},{"type":"heading","attrs":{"level":1},"children":[{"type":"text","text":"下载","id":""},{"type":"text","text":"PR","id":""},{"type":"text","text":"软件","id":""}],"text":"","id":"doxcnCA761mSEd5B7vAyPMd0VGf"},{"type":"heading","attrs":{"level":2},"children":[{"type":"text","text":"Adobe官网下载","id":""}],"text":"","id":"doxcnzSSrQuvfKbJ7l1wKI5bu3b"},{"type":"paragraph","children":[{"type":"text","text":"进入","id":""},{"type":"text","text":"Adobe官网","id":""},{"type":"text","text":"进行下载","id":""},{"type":"external_link","attrs":{"url":"https://www.adobe.com/cn/products/premiere.html"},"children":[{"type":"text","text":"https://www.adobe.com/cn/products/premiere.html","id":""}],"text":"","id":""}],"text":"","id":"doxcnwti8cvwC1haSG5SXQBwwRh"},{"type":"image","attrs":{"height":633,"note":[{"type":"text","text":"Adobe官网下载","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/7e6b7bfcc34c4c8a9c996b5fa0bd03f0","width":1322},"text":"","id":"doxcnQe0om8qMyUuEwVGHMH7Iyg"},{"type":"heading","attrs":{"level":2},"children":[{"type":"text","text":"其他网页下载","id":""}],"text":"","id":"doxcnQ21XJ1g4bvctZoIXy7ejee"},{"type":"paragraph","children":[{"type":"text","text":"1、打开浏览器","id":""},{"type":"text","text":"今日头条","id":""},{"type":"text","text":"搜索","id":""},{"type":"text","text":"3D溜溜网","id":""},{"type":"text","text":",进入官网","id":""}],"text":"","id":"doxcnXaYcJyllKSUOisUga7XDwg"},{"type":"image","attrs":{"height":600,"note":[{"type":"text","text":"其他网页下载","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/b145b54cbb734439b6d4a0a4467ab438","width":900},"text":"","id":"doxcnzI3dVQG57bgdfaQUMA04jQ"},{"type":"paragraph","children":[{"type":"text","text":"2、","id":""},{"type":"text","text":"打开浏览器搜索3D溜溜网,进入官网,点击上面【","id":""},{"type":"text","marks":[{"type":"strong"}],"text":"···","id":""},{"type":"text","text":"】三个点之后选择【软件插件】里的【羽兔网软件下载】","id":""}],"text":"","id":"doxcnIVPCifz0IRzsBqiEjOfiIf"},{"type":"image","attrs":{"height":600,"note":[{"type":"text","text":"其他网页下载","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/a1638af674e54aad9efb8a646ca04c63","width":900},"text":"","id":"doxcnqZpvG9QFK35bzCrca5Dv2I"},{"type":"paragraph","children":[{"type":"text","text":"3、选择【常用软件】里的【视频制作】","id":""}],"text":"","id":"doxcnzRohoZnbSkxA1A8Zk8b27e"},{"type":"image","attrs":{"height":600,"note":[{"type":"text","text":"其他网页下载","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/74b9227188ff4aeca2b984c9e8d8a586","width":900},"text":"","id":"doxcn2OVEbs5EMbBygZUOujtPLb"},{"type":"paragraph","children":[{"type":"text","text":"4","id":""},{"type":"text","text":"、","id":""},{"type":"text","text":"向下滑,在下面找到","id":""},{"type":"text","text":"PR","id":""},{"type":"text","text":"2018版本的进行【软件下载】,里面还有其他版本,这里选择的是适配win7的。","id":""}],"text":"","id":"doxcnCtQ1MsKtZgOu5E1P57TWNb"},{"type":"image","attrs":{"height":542,"note":[{"type":"text","text":"其他网页下载","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/5fef322678914f64998900ac60bcb079","width":884},"text":"","id":"doxcn4us8I4k0Sm8SgPZJfjoJKc"},{"type":"heading","attrs":{"level":1},"children":[{"type":"text","text":"PR窗口介绍","id":""}],"text":"","id":"doxcn96P6ooUhkBHVMi4KpcrGbh"},{"type":"paragraph","children":[{"type":"text","text":"Premiere软件由菜单栏、常用工具栏、时间轴、侧边面板栏(组件窗口)组成。主工作区有素材(项目)管理窗口、素材预览窗口、视频监视器窗口、时间轴窗口、调音台窗口、调色窗口等。","id":""}],"text":"","id":"doxcnCxCHkBbfrsDYRvzLAYfj3f"},{"type":"image","attrs":{"height":1017,"note":[{"type":"text","text":"PR窗口介绍","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/8ab86a1a8f924483a7bab52a67f43204","width":1920},"text":"","id":"doxcnPfVPkaL8cXxoC9iyybhMvg"},{"type":"heading","attrs":{"level":2},"children":[{"type":"text","text":"菜单栏","id":""}],"text":"","id":"doxcnjGGp8htd1KmYO4wrdQHtHe"},{"type":"paragraph","children":[{"type":"text","text":"菜单栏可以说是整个软件的功能导图,为软件中大多数功能提供了菜单入口,例如","id":""},{"type":"text","text":"PR","id":""},{"type":"text","text":"软件","id":""},{"type":"text","text":"中的绝大多数功能在对应的菜单栏中都可以找到。","id":""}],"text":"","id":"doxcngvQ04rFV59VIcbpf84JoDg"},{"type":"image","attrs":{"height":600,"note":[{"type":"text","text":"菜单栏","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/e7e280f0e60f4c0fb2eb62b1e3e9ee03","width":900},"text":"","id":"doxcn9E6osoDW58yS9TGvBUA2de"},{"type":"heading","attrs":{"level":2},"children":[{"type":"text","text":"功能窗口切换区域:(组件、编辑、颜色、效果、音频、字幕、库......)","id":""}],"text":"","id":"doxcnFy98LpdkaloJb0N5Zu5dRe"},{"type":"paragraph","children":[{"type":"text","text":"功能窗口切换区域是软件为剪辑、调色、音频、字幕等不同功能定义的界面布局方案。点击对应的功能,软件会自动切换到使用该功能时的界面布局。","id":""}],"text":"","id":"doxcn5w4jrhGzO9gT01GJHYuf4A"},{"type":"image","attrs":{"height":600,"note":[{"type":"text","text":"功能窗口切换区域:(组件、编辑、颜色、效果、音频、字幕、库......)","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/76961e4b5e02455d9d5ec10414a19c20","width":900},"text":"","id":"doxcnJ6mEm9RKbr3equYoIc04He"},{"type":"heading","attrs":{"level":2},"children":[{"type":"text","text":"源素材预览窗口","id":""}],"text":"","id":"doxcnO89UMHO3dwPheOMiS4VZ1c"},{"type":"paragraph","children":[{"type":"text","text":"源窗口主要是为项目面板中素材(视频、音频、图片)提供实时预览,双击项目面板中的素材即可在源窗口中进行播放预览。","id":""}],"text":"","id":"doxcnOhgjL2tJgFmTwxhUJSdmfg"},{"type":"image","attrs":{"height":786,"note":[{"type":"text","text":"源素材预览窗口","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/ad6e53be4b784562ac3d4e9946f02b29","width":1597},"text":"","id":"doxcneeeeeMaWaeo8wlkBBf96Nb"},{"type":"paragraph","children":[{"type":"text","marks":[{"type":"strong"}],"text":"节目监视窗口","id":""}],"text":"","id":"doxcngMAyEuYQ66iKU9mYWytjEc"},{"type":"paragraph","children":[{"type":"text","text":"节目窗口主要用于监视时间线上剪辑的画面,可以实时播放。","id":""}],"text":"","id":"doxcn9ceBAXnt86aWD826KpvfDg"},{"type":"image","attrs":{"height":784,"note":[{"type":"text","text":"源素材预览窗口","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/39ef4613ffa84d0aa454bc7961948a17","width":1600},"text":"","id":"doxcn6WYQCO2gMYc8DznazFhMiR"},{"type":"heading","attrs":{"level":2},"children":[{"type":"text","text":"项目面板","id":""}],"text":"","id":"doxcngxUAPJkZkUzHVVEHQjW2Lh"},{"type":"paragraph","children":[{"type":"text","text":"项目面板主要是用于项目及素材的管理,我们导入到软件中的素材及新建的序列、字幕等素材全部都存放在项目面板中。","id":""}],"text":"","id":"doxcnASeSr9hL6bK3QktvtDCSMb"},{"type":"image","attrs":{"height":600,"note":[{"type":"text","text":"项目面板","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/7c245a5fcb97452aa3f2203f9c0735ab","width":900},"text":"","id":"doxcnR6iRLwn0tmmG4URSVSVeLh"},{"type":"heading","attrs":{"level":2},"children":[{"type":"text","text":"时间线窗口","id":""}],"text":"","id":"doxcnUtKP5LGP3KfVP6LBwW9WP9"},{"type":"paragraph","children":[{"type":"text","text":"时间线窗口可以简单理解为剪辑工作台,我们对素材的剪辑工作全部都是在时间线面板中操作完成。时间线窗口又可分为视频轨道和音频轨道。","id":""}],"text":"","id":"doxcnpdbxGr0rTK904Q9ULz27Cg"},{"type":"image","attrs":{"height":380,"note":[{"type":"text","text":"时间线窗口","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/3f798b3817c949f7a35f9b0c899a62ff","width":1256},"text":"","id":"doxcnyq2gNAr2xMIqhwhENWhxVe"},{"type":"heading","attrs":{"level":2},"children":[{"type":"text","text":"工具栏","id":""}],"text":"","id":"doxcnCfhsU1WYo6FqwJ5Q31VWSe"},{"type":"paragraph","children":[{"type":"text","text":"工具栏","id":""},{"type":"text","text":"集合了所有视频剪辑工具,当然有一些是辅助剪辑工具。","id":""}],"text":"","id":"doxcniQlwYEMO1YDYk9Qh8d8AQd"},{"type":"image","attrs":{"height":532,"note":[{"type":"text","text":"工具栏","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/1dd1d9e917ce4dac9222fb65f1cd00b1","width":809},"text":"","id":"doxcny4kMYakq00aou0bQ8yt4vf"},{"type":"heading","attrs":{"level":3},"children":[{"type":"text","text":"选择工具(快捷键:V)","id":""}],"text":"","id":"doxcnICeCGuuEemYI4Ih4K7G5We"},{"type":"paragraph","children":[{"type":"text","text":"顾名思义,它的作用就是用来选择东西的,不过在有的时候它也会变为其它的形状,作用也随之改变。","id":""}],"text":"","id":"doxcnGUgmawWwwMEkYByjBJaJac"},{"type":"heading","attrs":{"level":3},"children":[{"type":"text","text":"向前选择轨道工具(快捷键:A)","id":""}],"text":"","id":"doxcnAm4uO2aUiYwEySS0caMSEc"},{"type":"paragraph","children":[{"type":"text","text":"使用此工具可以选择该轨道上以后的所有素材,视音频链接在一起的则音频同时也被选中;按住Shift键可以变为多轨道选择工具,此时单头变为双头,即使是单独的声音(比如音效、音乐等)也会被同时选中。","id":""}],"text":"","id":"doxcncYeqIokoi6aW2lE5RngmAh"},{"type":"heading","attrs":{"level":3},"children":[{"type":"text","text":"波纹编辑工具(快捷键:B)","id":""}],"text":"","id":"doxcnIqiKA0k8KauE9TFPpQzCkp"},{"type":"paragraph","children":[{"type":"text","text":"使用此工具可以改变一段素材的入点和出点,这段素材后面的会自动吸附上去,总长度发生改变。","id":""}],"text":"","id":"doxcnUyEi0McacUKSeSDseyEtGf"},{"type":"heading","attrs":{"level":3},"children":[{"type":"text","text":"剃刀工具(快捷键:C)","id":""}],"text":"","id":"doxcnGC6Oo6ocI0qA0Y7g4jhMUb"},{"type":"paragraph","children":[{"type":"text","text":"pr中导入素材之后,利用剃刀工具切割开视频,视频就分开为多段了,可以分别剪辑切割后的每一段视频,包括删除、添加效果等。","id":""}],"text":"","id":"doxcneYsIMkoCq2e0YD18rVIRuc"},{"type":"heading","attrs":{"level":3},"children":[{"type":"text","text":"外滑工具(快捷键:U)","id":""}],"text":"","id":"doxcnqusYGYsqyaG8Ibe6MTuTqh"},{"type":"paragraph","children":[{"type":"text","text":"作用于一段素材,用来同时改变此段素材的入点和出点。","id":""}],"text":"","id":"doxcnUsuKoWOoKikW4OewvCCyxd"},{"type":"heading","attrs":{"level":3},"children":[{"type":"text","text":"钢笔工具(快捷键:P)","id":""}],"text":"","id":"doxcn0AOYYIYSE68S4XK6NVuLf0"},{"type":"paragraph","children":[{"type":"text","text":"这个工具和字幕中的钢笔工具是一样,主要用来绘制形状。选中此工具,在需要的位置点击一下确定起点,直接点其它位置可以绘制直线,而在点第二个点的同时按住鼠标不放并进行拖拽可以绘制曲线;它还有一个作用就是进行关键帧的选择。","id":""}],"text":"","id":"doxcnsySecm4kW22YMx0RHszAag"},{"type":"heading","attrs":{"level":3},"children":[{"type":"text","text":"手形工具(快捷键:H)","id":""}],"text":"","id":"doxcnyeSuyU0qIeiOYrI2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","id":""}],"text":"","id":"doxcnpvU2bBwgmLhAKSzXeWoA9c"},{"type":"image","attrs":{"height":828,"note":[{"type":"text","text":"导出","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/d8b0e4930be64ad8a93fefc76f7744d0","width":1530},"text":"","id":"doxcnq9OeQTXIaqIG5FhluqlHUD"},{"type":"paragraph","children":[{"type":"text","text":"PR导出格式一般用MOV、mp4、AVI等等","id":""},{"type":"text","text":"。PR输出视频的时候,要求不一样,输出的格式的就不一样。因为没有统一的标准,要根据需求和目的才能定什么是合适的。","id":""}],"text":"","id":"doxcn8WUWW4Q0eoOAoiU3zHiipb"},{"type":"paragraph","children":[{"type":"text","text":"1、如果想输出文件后继续进行编辑,一般推荐输出MOV。","id":""}],"text":"","id":"doxcnuacmSYEOuG0CQSl2C0Y0qb"},{"type":"paragraph","children":[{"type":"text","text":"2、如果输出文件后直接就要观看,或传到视频网站。推荐输出H.264,即mp4。","id":""}],"text":"","id":"doxcncCOumAIkcS2Kon4eEwzPKb"},{"type":"paragraph","children":[{"type":"text","text":"3、如果输出文件给电视台标清播出,就输出AVI格式。","id":""}],"text":"","id":"doxcn2OiGGiWU0E2koz3Im8My3d"},{"type":"heading","attrs":{"level":2},"children":[{"type":"text","text":"成品","id":""}],"text":"","id":"doxcnikOQyOW066WI4HoGSoszMg"},{"type":"paragraph","children":[{"type":"text","text":"下面这张是成品","id":""}],"text":"","id":"doxcnnrlcxwJTKBYs8oNNf0tjhf"},{"type":"image","attrs":{"height":230,"note":[{"type":"text","text":"成品","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/d965685734594664adab5079a2ee244e","width":410},"text":"","id":"doxcndu3hxY8vMgwzvXhrog4sLh"},{"type":"paragraph","children":[{"type":"text","text":"这里用的是","id":""},{"type":"text","text":"PR","id":""},{"type":"text","text":"2018版本","id":""}],"text":"","id":"doxcnraknSYHmS9h9PBNzy1Ecrf"},{"type":"heading","attrs":{"level":1},"children":[{"type":"text","text":"PR","id":""},{"type":"text","text":"基础快捷键","id":""}],"text":"","id":"doxcnAOymG2QW6kOgew4XvrOBYd"},{"type":"paragraph","children":[{"type":"text","text":"1、按i可以设置入点,O可以设置出点。","id":""}],"text":"","id":"doxcnWMuG4kioCUs6gQDBPutVMv"},{"type":"paragraph","children":[{"type":"text","text":"2、Shift+delete键可以删除视频同时,把视频之间的间隙去掉;Ctrl+Z撤销。","id":""}],"text":"","id":"doxcnOUUwCqSeA66oGI5CoBuWHf"},{"type":"paragraph","children":[{"type":"text","text":"3、向前选择轨道工具(A)和链接选择项的结合使用可以删除选择点后面的视频和音频","id":""}],"text":"","id":"doxcn8QaSq4gmMwOyKO5n6TxBbg"},{"type":"paragraph","children":[{"type":"text","text":"4、向前选择轨道工具(A)和取消链接选择项的结合使用按shift键可单独删除视频,保留音频。","id":""}],"text":"","id":"doxcneKyMYoQeeu84KU2iYrjLbh"},{"type":"paragraph","children":[{"type":"text","text":"5、按Q键可删除剪辑的开始,按W键可删除剪辑的结尾,但是它们会从每个音轨中删除内容,如果有多层音轨,这个快捷键就不适用,可以通过锁定音频轨道来避免音频被删除。","id":""}],"text":"","id":"doxcneoqqGoAqemIkEq2qzcuYqb"},{"type":"paragraph","children":[{"type":"text","text":"6、按光标键→,按一下前进一帧,按Shift键+光标键,一下会前进5帧。","id":""}],"text":"","id":"doxcnKs6yOQIeAG4Ww11XowX1Pb"},{"type":"paragraph","children":[{"type":"text","text":"7、alt+拖动素材=复制","id":""}],"text":"","id":"doxcnAEsAIS8ssciik3RT8Xb00g"},{"type":"paragraph","children":[{"type":"text","text":"常用的快捷键如下:","id":""}],"text":"","id":"doxcn0g0AaYCeM4KSmgSKkPjCCg"},{"type":"imageList","children":[{"type":"image","attrs":{"height":601,"note":[{"type":"text","text":"PR","id":""},{"type":"text","text":"基础快捷键","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/0db905b0b6104d11aed544b39283e07d","width":901},"text":"","id":"doxcnM28y2m2AUYsSiyCX5SWQ8g"},{"type":"image","attrs":{"height":601,"note":[{"type":"text","text":"PR","id":""},{"type":"text","text":"基础快捷键","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/274dfa02812b4424973c026536d6d33f","width":901},"text":"","id":"doxcnU6mK8cOMWw24GCG9yLRbch"}],"text":"","id":"doxcn0IoogSg4KmAiSwAUjCoB6c"},{"type":"paragraph","children":[{"type":"text","text":"注:如果自己不适应默认的快捷键可以在","id":""},{"type":"text","text":"PR","id":""},{"type":"text","text":"界面快捷键设置修改,步骤如下:","id":""}],"text":"","id":"doxcn0IoogSg4KmAiSwAUjCoB6c"},{"type":"paragraph","children":[{"type":"text","text":"打开快捷键界面有两种方法:第一种方法,打开","id":""},{"type":"text","text":"PR","id":""},{"type":"text","text":"后,在菜单栏找到编辑选项下的快捷键菜单,单击后就会弹出设置界面。第二种方法,打开PR后,我们直接使用快捷键Ctrl+Alt+K后,也会弹出设置界面","id":""},{"type":"text","text":"。","id":""}],"text":"","id":"doxcnmE8gQEcESwcaOsVIb2KNyc"},{"type":"image","attrs":{"height":1013,"note":[{"type":"text","text":"PR","id":""},{"type":"text","text":"基础快捷键","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/17906eb76da6474bbe33762039398065","width":1889},"text":"","id":"doxcn8WU68WuCgegUw95zwxC74c"},{"type":"paragraph","children":[{"type":"text","text":"打开快捷键界面后在搜索框里我们直接输入想要添加的快捷键功能,然后在空白处单击鼠标,就会产生一个框,按下要设置的快捷键,最后点击确定保存设置,这样就快捷键就设置好了。","id":""}],"text":"","id":"doxcn2sI2ays2C82CyY9ZEtLplh"},{"type":"heading","attrs":{"level":1},"children":[{"type":"text","text":"PR视频特效","id":""}],"text":"","id":"doxcnKss2WSMgGAyqglCfF5Ay5Y"},{"type":"heading","attrs":{"level":2},"children":[{"type":"text","text":"添加滤镜","id":""}],"text":"","id":"doxcngGyEQsy0oWYCSHLOLZhKq6"},{"type":"paragraph","children":[{"type":"text","text":"首先就是滤镜的位置是在左下角的【效果】选项里面,如下图箭头指向所示:","id":""}],"text":"","id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,点击","id":""},{"type":"text","text":"【","id":""},{"type":"text","text":"倒放速度】就能倒放了。","id":""}],"text":"","id":"doxcn2weOsSGGuy6CknqwtBPqjc"},{"type":"image","attrs":{"height":1524,"note":[{"type":"text","text":"视频的倍速播放","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/92ef2e00c06f4f638a9bd9fb49e44b77","width":2712},"text":"","id":"doxcnuMO0Kqu6ieWgkp1OyVyZOe"},{"type":"heading","attrs":{"level":2},"children":[{"type":"text","text":"音乐淡出效果","id":""}],"text":"","id":"doxcnquEaO6s8KUYK4s1P17lp5e"},{"type":"paragraph","children":[{"type":"text","text":"添加音乐的方法和添加视频的方法一样,导入以后拖动到右边就可以了。删减运用上述方法也是可以完成的。","id":""}],"text":"","id":"doxcnqCsII4ek2WCUKuZYa4J2yc"},{"type":"paragraph","children":[{"type":"text","text":"音乐淡出的效果:","id":""}],"text":"","id":"doxcnCSiM8eeOkqMYYJJgdc3zpe"},{"type":"paragraph","children":[{"type":"text","text":"添加完音频后,拉开轨道,点击左下的小按钮,选择:轨道关键帧-音量","id":""},{"type":"text","text":";","id":""}],"text":"","id":"doxcngkSgga8WCYAMsfvboStI1r"},{"type":"image","attrs":{"height":1651,"note":[{"type":"text","text":"音乐淡出效果","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/45fb404f013041ebac46affc65ab23bd","width":2736},"text":"","id":"doxcnqC82ga0ESE4geehPPuocqg"},{"type":"paragraph","children":[{"type":"text","text":"选择:添加-移除关键帧按钮,在想要淡入、淡出的地方添加关键帧,即可对音量进行修改,完成淡入、淡出的效果","id":""},{"type":"text","text":";","id":""}],"text":"","id":"doxcnciWIMWggKMO4qmo0LWnz4e"},{"type":"image","attrs":{"height":560,"note":[{"type":"text","text":"音乐淡出效果","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/fa051e786ae74574b738dcfcec880306","width":2537},"text":"","id":"doxcnCOGUaqgwcWQ6spzhqzcHXd"},{"type":"paragraph","children":[{"type":"text","text":"如果你是第一次使用P","id":""},{"type":"text","text":"R","id":""},{"type":"text","text":"并且佩戴耳机的话,要到P","id":""},{"type":"text","text":"R","id":""},{"type":"text","text":"的","id":""},{"type":"text","text":"【","id":""},{"type":"text","text":"编辑】-【首选项】-【音频硬件】里的【默认输出】修改输出设备为:耳机。","id":""}],"text":"","id":"doxcnmwk28QWC6gkykdjJcdeAKg"},{"type":"image","attrs":{"height":1161,"note":[{"type":"text","text":"音乐淡出效果","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/c7590bd586ea4efd8f6bc7d57343d106","width":1521},"text":"","id":"doxcniye8EkyoG8EgUPidM1yTZM"},{"type":"heading","attrs":{"level":2},"children":[{"type":"text","text":"音效增益","id":""}],"text":"","id":"doxcnqmosymc0OW0Yo5ZI26sCaf"},{"type":"paragraph","children":[{"type":"text","text":"打开PR软件,将音频导入进去,拖到右下方的","id":""},{"type":"text","text":"【时间轴】","id":""},{"type":"text","text":"操作区","id":""},{"type":"text","text":";","id":""}],"text":"","id":"doxcna802UygmWaEeEzpb4xHCSc"},{"type":"image","attrs":{"height":600,"note":[{"type":"text","text":"音效增益","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/b0f21fbea4e141348d0a813c206312a8","width":900},"text":"","id":"doxcnCgwKW6QCakeQ23k8cMiTmh"},{"type":"paragraph","children":[{"type":"text","text":"右击鼠标,点击音轨,在出现的选项中点击","id":""},{"type":"text","text":"【音频增益】;","id":""}],"text":"","id":"doxcn2c0qiCKOeiI8oZ8bDy3EQg"},{"type":"image","attrs":{"height":600,"note":[{"type":"text","text":"音效增益","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/0cea1af410a84e8f812a9dea03b159d8","width":900},"text":"","id":"doxcn2AMYac6qCIsYA52uYmmjDg"},{"type":"paragraph","children":[{"type":"text","text":"在","id":""},{"type":"text","text":"【音频增益】","id":""},{"type":"text","text":"页面,选择","id":""},{"type":"text","text":"【将增益设置为】;","id":""}],"text":"","id":"doxcnOQIkQ8O86Qg4cxWF0amyZb"},{"type":"image","attrs":{"height":600,"note":[{"type":"text","text":"音效增益","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/fa8cd3e6aa4b40bebc6cac6f7990b9dd","width":900},"text":"","id":"doxcnAOcIYsoeAWuWWSM57mLc1e"},{"type":"paragraph","children":[{"type":"text","text":"输入合适的音频值,负数表示减少,完成后点击","id":""},{"type":"text","text":"【确定】","id":""},{"type":"text","text":"。","id":""}],"text":"","id":"doxcnCUAcWciGi2UeO8XAiLVBtc"},{"type":"image","attrs":{"height":600,"note":[{"type":"text","text":"音效增益","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/89365811d08349dc96088372736c5780","width":900},"text":"","id":"doxcn4UUYsyGwWiYA2CKYvb4gmb"},{"type":"heading","attrs":{"level":2},"children":[{"type":"text","text":"视频转场","id":""}],"text":"","id":"doxcnG4sysssKueIQuQFvufWYgc"},{"type":"paragraph","children":[{"type":"text","text":"首先打开电脑上的","id":""},{"type":"text","text":"PR","id":""},{"type":"text","text":",打开项目文件后,选择右侧的【效果】面板,效果面板中有","id":""},{"type":"text","text":"音频效果、音频过渡,视频效果、视频过渡;","id":""}],"text":"","id":"doxcnmqwKcuQAwwW02ZoMGeRJfd"},{"type":"image","attrs":{"height":600,"note":[{"type":"text","text":"视频转场","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/805c1e3f068240a4a431852c5062c3f7","width":900},"text":"","id":"doxcn4qiuQIqqUSCkeoVcRVlIoc"},{"type":"paragraph","children":[{"type":"text","text":"鼠标点开【视频过渡】,其中有7类转场特效,我们这里点击进入","id":""},{"type":"text","text":"【溶解】,选择【溶解】下的【交叉溶解】","id":""},{"type":"text","text":";","id":""}],"text":"","id":"doxcnwM8K6A2siQKaugsk6Vb7Lc"},{"type":"image","attrs":{"height":600,"note":[{"type":"text","text":"视频转场","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/52958eec3d1a40c983dca8a9018c1959","width":900},"text":"","id":"doxcn48oGWGW2ai6ACIwKKf4lOf"},{"type":"paragraph","children":[{"type":"text","text":"选择【交叉溶解】拖动到视频上,可以看到我们可以将转场放置到视频末尾,视频开头或两段视频中间,这里选择【视频中间】;","id":""}],"text":"","id":"doxcno6ec4cC6owsAVXKytUtaBW"},{"type":"image","attrs":{"height":600,"note":[{"type":"text","text":"视频转场","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/69139b677d80441d802f694655663531","width":900},"text":"","id":"doxcnCaoocAM8q4uoEt2HiFTZId"},{"type":"paragraph","children":[{"type":"text","text":"插入完成后我们双击此转场,进入【设置过渡持续时间】,拖动蓝色字体即可增加或减少时间。","id":""}],"text":"","id":"doxcnSsi4oUGWcoOCYDAouBTKkc"},{"type":"image","attrs":{"height":600,"note":[{"type":"text","text":"视频转场","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/08eb0468190441c79f26cb603972683a","width":900},"text":"","id":"doxcn6mg2WQOg0uy2K0PegxzHwh"},{"type":"paragraph","children":[{"type":"text","text":"成品:","id":""}],"text":"","id":"doxcnI8oosUKcm8iSWyYQYc4JIe"},{"type":"image","attrs":{"height":598,"note":[{"type":"text","text":"视频转场","id":""}],"url":"https://p3.douyinpic.com/large/tos-cn-i-qvj2lq49k0/57979e729fd340639439a9f54646664d","width":898},"text":"","id":"doxcnMQa8QmoWa6IOQbFSZaTPtc"},{"type":"paragraph","children":[{"type":"text","text":"","id":""}],"text":"","id":"doxcnAMa8S486maiWEH5jMoxgne"}]%3C%2Fhowto_content%3E

8. var公式推导

原理:若有两个功率表读数为W1、W2,则P=W1+W2=UIcos(30°-φ)+UIcos(30°+φ),其中φ为负载的阻抗角(即功率因数角)两个功率表读数与φ有下列关系:

当负载为纯电阻,φ=0,W1=W2,当负载功率因数cosφ=0.5,φ=±60°,将有一个功率表的读数为零;3当负载功率因数cosφ〈0.5,|φ|〉60°,则有一个功率表的读数为负值。

对称的三相功率可用一只单相功率表(瓦特表)测量,对于三线制非对称三相功率,要用两只单相功率表(或由两只单相功率表组成的二元三相功率表)测量,它们分别称为一瓦特表法和二瓦特表法。

一瓦特法只能用于三相对称电路的功率测试,三相功率之和等于单相功率读数的三倍。

二瓦特法采用两个功率表测量三相电路的三相总功率,三相功率之和等于两个单相功率表的读数之和。其理论依据是基尔霍夫电流定律,适用于三相三线制系统的三相功率测试,与系统是否对称无关。

扩展资料:

在三相电路中,三相负载吸收的复功率等于各项复功率之和。三相电路的瞬时功率为各相负载瞬时功率之和。在三相三线制电路中,不论对称与否,都可以使用两个功率表测量三相功率。即二瓦记法。

对称三相电源和对称三相负载相连接,称为对称三相电路(电源总是对称的)。三相电源与负载之间的连接方式有Y-Y,△-Y,△-△,Y-△连接方式。三相电路实际是正弦交流电路的一种特殊类型。

在三相电路中,三相负载的连接方式决定于负载每相的额定电压和电源的线电压。由于对称三相电路中每组的响应都是与激励同相序的对称量。所以,每相不但相电压有效值相等,相电流有效值也相等。而且每相电压与电流的相位差也相等。从而每相的有功功率相等。

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