< style > 
-sharpparent{
    position:relative;
    width:100px;
    height:100px;
    background:-sharpf99;
}
-sharpchildren{
    position: absolute;
    width:100px;
    height:100px;
    right:-100%;
    top:0;
    background:-sharp99f;
    display:none;
}
 < / style > 
 < div id= "parent" > 
<div id="children"></div>
 < / div > 
 < script > 
var eParent = document.getElementById('parent')
var eChildren = document.getElementById('children')
eChildren.onmouseover =  eParent.onmouseover = function(e){
    eChildren.style.display="block"
}
eChildren.onmouseout =  eParent.onmouseout = function(e){
    eChildren.style.display="none"
}
 < / script > 
Does 
 mean this? 
-Update 
 < style > 
*{
    margin:0;
    padding:0;
}
ul{
    list-style: none;
}
.item{
    position:relative;
    width:100px;
    height:100px;
    background:-sharpf99;
    border:1px solid -sharpccc;
    cursor:pointer;
}
.item div{
    position: absolute;
    width:100px;
    height:100px;
    right:-100%;
    top:0;
    background:-sharp99f;
    display:none;
}
 < / style > 
 < ul id= "list" > 
<li class="item">
    <div></div>
</li>
<li class="item">
    <div></div>
</li>
<li class="item">
    <div></div>
</li>
  
 < script src= " https://cdn.bootcss.com/jquer.;></script>
<script>
$('.item').on('mouseover',function(){
    $(this).find('div').css('display','block')
})
$('.item').on('mouseout',function(){
    $(this).find('div').css('display','none')
})
 < / script > 
*{
    margin:0;
    padding:0;
}
ul{
    list-style: none;
    position:relative;
    width:500px;
    margin:0 auto;
    height:500px;
}
.item{
    position:relative;
    width:100px;
    height:100px;
    background:-sharpf99;
    border:1px solid -sharpccc;
    cursor:pointer;
    float:left;
}
.hidden{
    position: absolute;
    width:100px;
    height:100px;
    background:-sharp99f;
    display:none;
    top:100%;
    left:0;
}
.bu{
    display:block;
    width:100%;
    height:100%;
}
 < / style > 
 < ul id= "list" > 
<li class="item">
    <a class="bu" href="www.baidu.com"></a>
    <div class="hidden"></div>
</li>
<li class="item">
    <a class="bu"></a>
    <div class="hidden"></div>
</li>
<li class="item">
    <a class="bu"></a>
    <div class="hidden"></div>
</li>
  
 < script src= " https://cdn.bootcss.com/jquer.;></script>
<script>
$('.item').on('mouseover',function(){
    $(this).find('.hidden').css('display','block')
})
$('.item').on('mouseout',function(){
    $(this).find('.hidden').css('display','none')
})
 < / script >