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勾股定理

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创人来了二次根式把我脑浆喝的...

创人来了

二次根式把我脑浆喝的差不多了

萨卡萨卡班班甲鱼鱼～～

创人来了

二次根式把我脑浆喝的差不多了

萨卡萨卡班班甲鱼鱼～～

Z.H的渣创萨卡班甲鱼创人勾股定理

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有了领袖教你学习，还愁不及格吗

有了领袖教你学习，还愁不及格吗

短视频变形金刚威震天擎天柱勾股定理

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好，我的数学辅导班老师讲题...

好，我的数学辅导班老师讲题时画了图，很艺术很美的🌹❤

好，我的数学辅导班老师讲题时画了图，很艺术很美的🌹❤

创人勾股定理

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药（完结）（ABO师生恋）好...

药（完结）（ABO师生恋）

好讨厌打字😭

药（完结）（ABO师生恋）

好讨厌打字😭

静候佳寅勾股定理青春有你2

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[紫苏丸]阿紫关注

勾股恨【西皮洪水】

说什么百牛定理勾股弦

算经九章害我惨

他那里不把方法揽

却只道滔滔不绝（把）证明谈

身在学堂心淹煎...

说什么百牛定理勾股弦

算经九章害我惨

他那里不把方法揽

却只道滔滔不绝（把）证明谈

身在学堂心淹煎

看那同窗神淡然

思绵绵来恨绵绵

折桂蟾宫在哪一天

根据梅兰芳《生死恨》韩玉娘【西皮流水】说什么花好月圆改编

京剧七月全勤打卡计划勾股定理鬼畜整活生死恨-韩玉娘-说什么花好月圆人亦寿

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阳了罢关注

竟然三千年前就已经被发现了吗

竟然三千年前就已经被发现了吗

数学勾股定理

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勾股定理

勾股定理又名毕达哥拉斯定理，想必各位都有所耳闻这个定理。出自几何原本第一卷命题47，被誉为几何学的基石。说点不知道的，他还引出了无理数根号二，引发第一次数学危机，也为费马大定理做了铺垫。步入正题，在一个直角三角形中，两条直角边平方的和等于斜边的平方，即a^2+b^2=c^2

[图片]

八年级的证明用拼接去整的，如图

[图片]

网上还有一堆用纯几何证明的，那我们就用稍微有一点难度的三角函数去证明

[图片]

根据三角函数的定义，设角a=θ,sinθ=a/c,cosθ=b:c那我们只要证明sin²θ+cos²θ=1就可以了，网络上的证明都是单位圆，或者靠勾股定理，......

勾股定理又名毕达哥拉斯定理，想必各位都有所耳闻这个定理。出自几何原本第一卷命题47，被誉为几何学的基石。说点不知道的，他还引出了无理数根号二，引发第一次数学危机，也为费马大定理做了铺垫。步入正题，在一个直角三角形中，两条直角边平方的和等于斜边的平方，即a^2+b^2=c^2

八年级的证明用拼接去整的，如图

网上还有一堆用纯几何证明的，那我们就用稍微有一点难度的三角函数去证明

根据三角函数的定义，设角a=θ,sinθ=a/c,cosθ=b:c那我们只要证明sin²θ+cos²θ=1就可以了，网络上的证明都是单位圆，或者靠勾股定理，我们就用麦克劳林展开式(又名泰勒展开)以下是我的证明过程

首先知道这样一个式子，他是为后面的正弦余弦的麦克劳林展开的和做铺垫

这个是sin²θ的麦克劳林展开

同理我们把cos²θ也给展开，我们会发现最后的式子只有细微的区别，那就是-1^n和-1^(n+1)但我们都知道，当n不等于0且为整数的时候他们俩的和等于0

所以sin²θ+cos²θ=1，我们就证明出了勾股定理

勾股定理

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小马搞笑配音关注

我这技术，有人要吗

我这技术，有人要吗

网易知识公路短视频生活吐槽勾股定理动物趣闻动物实拍趣味搞笑搞笑

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真神了嘿，詹姆斯这波操作真是对勾股定理的顶级理解

真神了嘿，詹姆斯这波操作真是对勾股定理的顶级理解

网易知识公路短视频詹姆斯勾股定理体育资讯 NBA 运动

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叶孤羊vs西门吹羊！终于知道勾股定理是咋回事了

叶孤羊vs西门吹羊！终于知道勾股定理是咋回事了

网易知识公路短视频勾股定理叶孤羊搞笑

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知道勾股定理吗？和这个无关

知道勾股定理吗？和这个无关

网易知识公路短视频勾股定理生活

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这个数学题怎么写，求一个

这个数学题怎么写，求一个

生活数学勾股定理

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罐装关注

勾股定理～

@婧珩快看快看这题可有意思了

[图片]

(第十五题)

@婧珩快看快看这题可有意思了

(第十五题)

文学百合生活记录日常数学勾股定理

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林关注

神奇的猜想又增加了

神奇的猜想又增加了

数学勾股定理绘画日常摸鱼奇思妙想

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大国重器关注

老师用实验为学生讲勾股定理，网友：真的太生动了，很好理解

老师用实验为学生讲勾股定理，网友：真的太生动了，很好理解

短视频勾股定理资讯要闻社会热点社会

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汇娱关注

都知道勾股定理吧，和这没啥关系！

都知道勾股定理吧，和这没啥关系！

短视频勾股定理奇闻

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974壹时间关注

物理老师用砝码和滑轮演绎解释勾股定理。

物理老师用砝码和滑轮演绎解释勾股定理。

短视频滑轮勾股定理资讯要闻砝码社会热点社会

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Aurora:关注

现代数学公理下的勾股定理

现代数学公理下的勾股定理

网易知识公路短视频现代数学数学讲解勾股定理数学

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颠覆你的认知，勾股定理无法证明，集合论

颠覆你的认知，勾股定理无法证明，集合论

网易知识公路短视频科普勾股定理集合论数学无法证明

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齐飞齐飞关注

小多比修电脑还修出了勾股定理

小多比修电脑还修出了勾股定理

网易知识公路短视频电脑勾股定理搞笑

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                            <a class="fullnk" href="${url}/post/${post.permalink}?act=qbcnxh_20150804_04" data-blogid="${post.blogId}" data-postid="${post.postId}">
                                <span class="pic">
                                    <span class="img"> </span>
                                </span>
                                <span class="cover"></span>
                                <span class="layer"></span>
                            </a>
                        </li>
                    {/if}
                {/if}
            {if post.type == 4}
                {if !!post.image}
                    <li class="article article-video">
                        <a class="fullnk" href="${url}/post/${post.permalink}?act=qbcnxh_20150804_04" target="_blank" data-blogid="${post.blogId}" data-postid="${post.postId}">
                            <span class="pic">
                                <img src="${post.image}"{if !!post.title} alt="${post.title}" title="${post.title}"{/if}/>
                            </span>
                            <span class="cover"></span>
                            <span class="layer"></span>
                        </a>
                    </li>
                {else}
                    <li class="article article-video">
                        <a class="fullnk" href="${url}/post/${post.permalink}?act=qbcnxh_20150804_04" data-blogid="${post.blogId}" data-postid="${post.postId}">
                            <span class="pic">
                                <span class="img"> </span>
                            </span>
                            <span class="cover"></span>
                            <span class="layer"></span>
                        </a>
                    </li>
                {/if}
            {/if}
        {/list}
    </ul>

{if !!photo.labels && photo.labels.length>0}
                    {var wrapwidth = photo.ow < 500?photo.ow:500}
                    <div class="m-labelswrap" style="width:${wrapwidth}px">
                      {list photo.labels as labs}
                      {var lbtxtwidth = Math.floor(wrapwidth*(labs.ort==1?labs.x:(100-labs.x))/100)-62}
                      {if lbtxtwidth>12}
                      <div class="w-labels {if labs.ort==1}w-labels-right{else}w-labels-left{/if}" style="{if labs.ort==1}right:${100-labs.x}%;top:${labs.y}%{else}left:${labs.x}%;top:${labs.y}%{/if}">
                        {if !!labs.icon}
                        <img class="lbimg" src="${labs.icon}" />
                        <div class="lbwrap">
                            <a class="lbtagtxt f-thide" style="max-width:${lbtxtwidth}px" href="//www.lofter.com/tag/${labs.text|escape}" target="_blank">${labs.text|escape}</a>
                        </div>
                        {else}
                        <div class="lbwrap lbwrap-noimg">
                            <a class="lbtagtxt f-thide" style="max-width:${lbtxtwidth+28}px" href="//www.lofter.com/tag/${labs.text|escape}" target="_blank">${labs.text|escape}</a>
                        </div>
                        {/if}
                      </div>
                      {/if}
                      {/list}
                      <img class="wrapbg" src="//l.bst.126.net/rsc/img/common/empty.png">
                    </div>
                    {/if}

{list photos as photo}
            <div class="imgc">
                <a href="#" hidefocus="true">
                    <img width="{if photo.ow < 145}${photo.ow|escape}{else}164{/if}" src="${httpImgConvertToHttps(photo.middle)|escape}">
                    <span class="total">
                        <span class="totalbg"></span><span class="totalnum">${photos.length||2}</span>
                    </span>
                </a>
            </div>
            {if photo_index==0}{break}{/if}
        {/list}
        <ol style="display:none;">
        {list photos as photo}
            <li>
                <div class="imgc">
                    <a href="#" hidefocus="true"><img width="{if photo.ow < 500}${photo.ow|escape}{else}500{/if}" large="${httpImgConvertToHttps(photo.orign)|escape}" {if !!iself}src="${httpImgConvertToHttps(photo.middle)|escape}"{else}imgsrc="${httpImgConvertToHttps(photo.middle)|escape}"{/if}>
                        {if !!expand}
                        <span class="total">
                            <span class="totalbg"></span><span class="totalnum">${photos.length||2}</span>
                        </span>
                        {/if}
                    </a>
                  {if !!photo.labels && photo.labels.length>0}
                    {var wrapwidth = photo.ow < 500?photo.ow:500}
                    <div class="m-labelswrap" style="width:${wrapwidth}px">
                      {list photo.labels as labs}
                      {var lbtxtwidth = Math.floor(wrapwidth*(labs.ort==1?labs.x:(100-labs.x))/100)-62}
                      {if lbtxtwidth>12}
                      <div class="w-labels {if labs.ort==1}w-labels-right{else}w-labels-left{/if}" style="{if labs.ort==1}right:${100-labs.x}%;top:${labs.y}%{else}left:${labs.x}%;top:${labs.y}%{/if}">
                        {if !!labs.icon}
                        <img class="lbimg" src="${labs.icon}" />
                        <div class="lbwrap">
                            <a class="lbtagtxt f-thide" style="max-width:${lbtxtwidth}px" href="//www.lofter.com/tag/${labs.text|escape}" target="_blank">${labs.text|escape}</a>
                        </div>
                        {else}
                        <div class="lbwrap lbwrap-noimg">
                            <a class="lbtagtxt f-thide" style="max-width:${lbtxtwidth+28}px" href="//www.lofter.com/tag/${labs.text|escape}" target="_blank">${labs.text|escape}</a>
                        </div>
                        {/if}
                      </div>
                      {/if}
                      {/list}
                      <img class="wrapbg" src="//l.bst.126.net/rsc/img/common/empty.png">
                    </div>
                    {/if}
                </div>
                <div class="more more-2" {if photo.ow <= 500}style="display:none;"{/if}>
                    <a class="w-zoom" onclick="loft.x.stopEvent(event);loft.m.g.mp${gid}.photoshow(${photo_index});return false;">查看大图</a>
                </div>
                {if !expand}<p>${spescape(captions[photo_index])}</p>{/if}
             </li>
             {if !!expand}{break}{/if}
        {/list}
        </ol>

<div class="flashvideo">
        <object width="100%" height="100%" classid="clsid:D27CDB6E-AE6D-11cf-96B8-444553540000" codebase="http://download.macromedia.com/pub/shockwave/cabs/flash/swflash.cab#version=9,0,28,0">
            <param name="movie" value="https://www.lofter.com/rsc/swf/video/lofterVideoPlayer.swf">
            <param name="wmode" value="transparent">
            <param name="quality" value="high">
            <param name="allowFullScreen" value="true">
            <param name="flashvars" value="controlbar=none&skin=https://www.lofter.com/rsc/swf/video/skin/skin.zip&file=${src}&image=${imgsrc}&autostart=true&repeat=always">
            <embed width="100%" height="100%"  src="//www.lofter.com/rsc/swf/video/lofterVideoPlayer.swf" flashvars="controlbar=none&skin=https://www.lofter.com/rsc/swf/video/skin/skin.zip&file=${src}&image=${imgsrc}&autostart=true&repeat=always" allowFullScreen="true" menu="false" wmode="transparent" quality="high" pluginspage="http://www.adobe.com/shockwave/download/download.cgi?P1_Prod_Version=ShockwaveFlash" type="application/x-shockwave-flash">
        </object>
    </div>

<div class="m-icnt m-icnt-askanswer">
      <div class="answerItem">
        <div class="answernick"><a class="${xtag}" hidefocus="true" target="_blank" href="#"></a><span class="answertip"> <span class="answertypetxt ${xtag}"></span></span></div>
        <div class="askarea">
            <div class="question"><div class="qcnt ${xtag}"></div><em class="f-askicon arrow"> </em></div>
            <div class="asker">
                <div style="display:none" class="realnameask">
                    <a target="_blank" href="#"><img class="${xtag}" /></a>
                    <a class="f-thide askernick ${xtag}" target="_blank" href="#"></a>
                </div>
                <div class="anonyask">
                    <img class="${xtag}" />
                    <span class="f-thide askernick ${xtag}"></span>
                </div>
            </div>
        </div>
        <div class="cnt">
            <div class="img"><a href="#" hidefocus="true"><img width="164" class="${xtag}"></a></div>
            <div class="txt ${xtag}">
                <p></p>
            </div>
        </div>
        <div class="more" style="display:none;"><a class="w-more w-more-open ${xtag}" href="#">展开</a></div>
        <div style="display:none" class="askagain"><a class="${xtag}" hidefocus="true" target="_blank" href="#"><span class="againtxt ${xtag}"></span><em style="display:none" class="icon24"> </em></a></div>
        <div class="clearfix opbar">
            <a class="${xtag}" hidefocus="true" href="#">删除</a>
        </div>
      </div>
      <div class="askItem">
        <div class="asknick"><a class="${xtag}" hidefocus="true" target="_blank" href="#"></a><span class="asktip"><em class="nicksep"> </em>提问</span></div>
         <div class="cnt">
             <div class="txt ${xtag}"></div>
         </div>
         <div class="clearfix opbar">
             <a class="addblack ${xtag}" hidefocus="true" target="_blank" href="#">加黑</a>
             <a class="${xtag}" hidefocus="true" target="_blank" href="#">删除</a>
             <a class="${xtag}" hidefocus="true" target="_blank" href="#">仅回答</a>
             <a class="${xtag}" hidefocus="true" target="_blank" href="#">回答并发布</a>
         </div>
      </div>
    </div>

<div class="a-w-sel a-w-sel-7 a-w-sel-do usercard">
	    <div class="w-sel w-sel-7">
	    	<div id="ucarrow" class="arrow arrow-${arrow}"></div>
		    <div class="selc">
	            <div class="selcc selcc-1" id="selcc-1">
	       		    <div class="seli seli-glist2">
	                    <div class="m-glist2">
		                    <div class="w-img2 w-img2-1"><a onclick="window['_gaq'].push(['_trackEvent', '个人名片', '头像点击']);" target="_blank" href="https://${data.blogname}.lofter.com/"><img src="${httpImgConvertToHttps(data.avaImg|default:'https://l.bst.126.net/rsc/img/ava/64.png')}"><em class="vicon {if !!viconclass}${viconclass}{/if}"></em></a></div>
	                        <div class="bloginfo">
	    	                    <a onclick="window['_gaq'].push(['_trackEvent', '个人名片', '昵称点击']);" style="display:inline-block;width:210px;" target="_blank" href="https://${data.blogname}.lofter.com/" class="name f-thide">${data.name|escape}</a>
	                            <div class="subinfo"><a onclick="drawStatisticImg('qbgrmp_20150416_01');window['_gaq'].push(['_trackEvent', '个人名片', '文章xxx点击']);" {if !data.publicPostCount || data.publicPostCount<0}style="display:none"{/if} href="https://${data.blogname}.lofter.com/" target="_blank">文章 ${data.publicPostCount}</a><a onclick="drawStatisticImg('qbgrmp_20150416_02');window['_gaq'].push(['_trackEvent', '个人名片', '喜欢xxx点击']);" {if !data.FavoritePostCount || issubblog || data.FavoritePostCount<0}style="display:none"{/if} href="//www.lofter.com/favblog/${data.blogname}" target="_blank">喜欢 ${data.FavoritePostCount}</a><a onclick="drawStatisticImg('qbgrmp_20150416_03');window['_gaq'].push(['_trackEvent', '个人名片', '关注xxx点击']);" {if !data.followerCount || issubblog || data.followerCount<0}style="display:none"{/if} href="//www.lofter.com/explore?type=follow&bid=${blogid}" target="_blank">关注 ${data.followerCount}</a></div>
	                        </div>
	                        <div class="blogmenu">
                                <div class="menu"{if rankNum == 0} style="display:none;"{/if}>
                                    <a class="menubtn ftag" href="javascript:void(0)"></a>
                                    <div class="menulist ftag" style="display:none;top:50px;opacity:0;">
                                        <div class="arrow"></div>
                                        <ul>
                                            {if data.msgRank == 1}<li><a id="ucmsg" onclick="drawStatisticImg('qbgrmp_20150416_04');" target="_blank" href="{if !!isLogin}https://www.lofter.com/message/${data.blogname}/{else}https://www.lofter.com/front/login?target=https://www.lofter.com/message/${data.blogname}/{/if}">私信</a></li>{/if}
                                            <li><a id="ucblack" href="#">{if !!data.inBlackList}取消加黑{else}加黑{/if}</a></li>
											<li style="{if data.shieldRecomCode==0}display:none{/if}"><a id="ucShield" href="#">
                                                {if data.shieldRecomCode==1}恢复查看推荐{/if}
												{if data.shieldRecomCode==2}不看推荐内容{/if}
											</a></li>
                                        </ul>
                                    </div>
                                </div>
                                <div class="followbtn">
                                    <a class="u-btn2 ftag" style="display:none;" href="#"><span>已关注</span></a>
		                        	<a class="u-btn u-btn-1 ftag" style="display:none;" href="#"><b>+</b><span>关注</span></a>
		                        </div>
                            </div>
	                    </div>
	                </div>
	                <div class="seli seli-goodcnt">
	                    <ul class="m-goodcnt m-goodcnt-4">
	                        <li>
	                        {if defined('posts')&&posts.length>0}
				          	{list posts as post}
	                        	<div class="itm">
			          				{if post_index < 3}
			          					{if post.type == 1 || post.type == 5}
		          							<div class="txt">
		          								{if !!post.title}<h3>${post.title|escape}</h3>{/if}
		          								{if !!post.digest}${post.digest}{/if}
		          							</div>
		          							<a onclick="window['_gaq'].push(['_trackEvent', '个人名片', '文章缩略区域点击']);" target="_blank" href="${post.blogPageUrl}" class="textlink"></a>
						          		{/if}
						          		{if post.type == 2}
						          			<a onclick="window['_gaq'].push(['_trackEvent', '个人名片', '文章缩略区域点击']);" target="_blank" href="${post.blogPageUrl}">
						          				<img src="${post.showimages}" style="visibility:hidden;" onload="this.style.visibility = 'visible'">
						          				<span class="icover"></span>
						          			</a>
						          		{/if}
						          		{if post.type == 3}
						          			<a onclick="window['_gaq'].push(['_trackEvent', '个人名片', '文章缩略区域点击']);" target="_blank" href="${post.blogPageUrl}">
						          				{if !!post.showimages}<img src="${post.showimages}" style="visibility:hidden;" onload="this.style.visibility = 'visible'">{/if}
						          				<span class="icover"></span>
						          				<span class="w-type"></span>
						          			</a>
						          		{/if}
						          		{if post.type == 4}
						          			<a onclick="window['_gaq'].push(['_trackEvent', '个人名片', '文章缩略区域点击']);" target="_blank" href="${post.blogPageUrl}">
						          				{if !!post.showimages}<img src="${post.showimages}" style="visibility:hidden;" onload="this.style.visibility = 'visible'">{/if}
						          				<span class="icover"></span>
						          				<span class="w-type w-type-1"></span>
						          			</a>
						          		{/if}
						          		{if post.type == 6}
						          			<a onclick="window['_gaq'].push(['_trackEvent', '个人名片', '文章缩略区域点击']);" target="_blank" href="${post.blogPageUrl}">
						          				<img src="${post.showimages}" style="visibility:hidden;" onload="this.style.visibility = 'visible'">
						          				<span class="icover"></span>
						          				<span class="long-flag"></span>
						          			</a>
						          		{/if}
			          				{/if}
				          		</div>
				          	{/list}
				          	{else}
				          	<div class="nopost">暂无文章</div>
				          	{/if}
	                        </li>
	                    </ul>
	                </div>
	                <div class="seli">
	                	<div class="m-daren">
	                	{if drlist.length>0}
	                		<span class="moredr">更多相似达人：</span>
	                		{list drlist as dr}<a class="ftag" href="https://${dr.blogName}.lofter.com/?from=usercard" target="_blank" onclick="similarBlogClick(${dr.blogId},'${dr.algInfo|default:''}','${dr.recId|default:''}');drawStatisticImg('qbxsdr_20150810_02');">${subStr(dr.blogNickName,14,true)|escape}</a>{if drlist.length === 3 && dr_index === 0}、{/if}{if drlist.length === 3 && dr_index === 1}、{/if}{if drlist.length === 2 && dr_index === 0}、{/if}{/list}
	                	{else}
	                		<span class="nomore">暂无相似达人，</span><a href="//www.lofter.com/explore/?type=recommend" target="_blank" onclick="drawStatisticImg('qbxsdr_20150814_02')">发现更多>></a>
	                	{/if}
	                	</div>
	                </div>
	            </div>
	        </div>
	    </div>
	</div>

{if defined('posts')&&posts.length>0}
      	{list posts as post}
        	<div class="itm tctag">
  				{if post_index < 3}
  					{if post.type == 1 || post.type == 5}
						<div class="txt">
							{if !!post.title}<h3>${post.title|escape}</h3>{/if}
							{if !!post.digest}${post.digest}{/if}
						</div>
						<a onclick="window['_gaq'].push(['_trackEvent', '标签名片', '标签名片缩略图点击']);" target="_blank" href="${post.tagUrl}" class="textlink"></a>
	          		{/if}
	          		{if post.type == 2}
	          			<a onclick="window['_gaq'].push(['_trackEvent', '标签名片', '标签名片缩略图点击']);" target="_blank" href="${post.tagUrl}">
	          				<img src="${post.showimages}" style="visibility:hidden;" onload="this.style.visibility = 'visible'">
	          				<span class="icover"></span>
	          			</a>
	          		{/if}
	          		{if post.type == 3}
	          			<a onclick="window['_gaq'].push(['_trackEvent', '标签名片', '标签名片缩略图点击']);" target="_blank" href="${post.tagUrl}">
	          				{if !!post.showimages}<img src="${post.showimages}" style="visibility:hidden;" onload="this.style.visibility = 'visible'">{/if}
	          				<span class="icover"></span>
	          				<span class="w-type"></span>
	          			</a>
	          		{/if}
	          		{if post.type == 4}
	          			<a onclick="window['_gaq'].push(['_trackEvent', '标签名片', '标签名片缩略图点击']);" target="_blank" href="${post.tagUrl}">
	          				{if !!post.showimages}<img src="${post.showimages}" style="visibility:hidden;" onload="this.style.visibility = 'visible'">{/if}
	          				<span class="icover"></span>
	          				<span class="w-type w-type-1"></span>
	          			</a>
	          		{/if}
	          		{if post.type == 6}
	          			<a onclick="window['_gaq'].push(['_trackEvent', '标签名片', '标签名片缩略图点击']);" target="_blank" href="${post.tagUrl}">
	          				<img src="${post.showimages}" style="visibility:hidden;" onload="this.style.visibility = 'visible'">
	          				<span class="icover"></span>
	          				<span class="long-flag"></span>
	          			</a>
	          		{/if}
  				{/if}
      		</div>
      	{/list}
  	{else}
  		<div class="nopost tctag">暂无文章</div>
  	{/if}