问题
I have also tried using below codes. it doesn't work for this case.

table>tbody>tr>td:nth-child(odd){
background-color: #F2F2F2;
}
table>tbody>tr:nth-child(odd){
background-color: #FFF !important;
}
table>tbody>tr>td:nth-child(even){
background-color: #F7F7F7;
}
回答1:
Alternating rows
See the difference: we are using odd and even on tr, not td:
table>tbody>tr:nth-child(odd) >td{
background-color: #eee;
}
table>tbody>tr:nth-child(even)>td{
background-color: #ccc;
}
<table>
<tbody>
<tr><td>. . . . .</td><td>. . . . .</td><td>. . . . .</td></tr>
<tr><td>. . . . .</td><td>. . . . .</td><td>. . . . .</td></tr>
<tr><td>. . . . .</td><td>. . . . .</td><td>. . . . .</td></tr>
<tr><td>. . . . .</td><td>. . . . .</td><td>. . . . .</td></tr>
<tr><td>. . . . .</td><td>. . . . .</td><td>. . . . .</td></tr>
</tbody>
</table>
It seems this first part was answered here:
Alternate table row color using CSS?
Alternating rows and columns:
If you want the "doubled" alternate, extend the concept to all combinations:
table>tbody>tr:nth-child(odd)> td:nth-child(odd) {background-color:#aaa}
table>tbody>tr:nth-child(odd)> td:nth-child(even){background-color:#888}
table>tbody>tr:nth-child(even)>td:nth-child(odd) {background-color:#eee}
table>tbody>tr:nth-child(even)>td:nth-child(even){background-color:#ddd}
<table>
<tbody>
<tr><td>. . . . .</td><td>. . . . .</td><td>. . . . .</td></tr>
<tr><td>. . . . .</td><td>. . . . .</td><td>. . . . .</td></tr>
<tr><td>. . . . .</td><td>. . . . .</td><td>. . . . .</td></tr>
<tr><td>. . . . .</td><td>. . . . .</td><td>. . . . .</td></tr>
<tr><td>. . . . .</td><td>. . . . .</td><td>. . . . .</td></tr>
</tbody>
</table>
回答2:
Your column css has overridden the row css. Hence changed them for odd and even rows separately as below.
table>tbody>tr:nth-child(odd){
background-color: #F7F7F7 !important;
}
table>tbody>tr:nth-child(even){
background-color: #FFF !important;
}
table>tbody>tr:nth-child(odd)>td:nth-child(odd){
background-color: #F2F2F2 !important;
}
table>tbody>tr:nth-child(odd)>td:nth-child(even){
background-color: #F7F7F7;
}
table>tbody>tr:nth-child(even)>td:nth-child(odd){
background-color: #FFF !important;
}
table>tbody>tr:nth-child(even)>td:nth-child(even){
background-color: #F2F2F2;
}
<table>
<tbody>
<tr>
<td>Row 1 Column 1</td>
<td>Row 1 Column 2</td>
<td>Row 1 Column 3</td>
</tr>
<tr>
<td>Row 2 Column 1</td>
<td>Row 2 Column 2</td>
<td>Row 2 Column 3</td>
</tr>
<tr>
<td>Row 3 Column 1</td>
<td>Row 3 Column 2</td>
<td>Row 3 Column 3</td>
</tr>
<tr>
<td>Row 4 Column 1</td>
<td>Row 4 Column 2</td>
<td>Row 4 Column 3</td>
</tr>
</tbody>
</table>
来源:https://stackoverflow.com/questions/40715049/set-alternate-color-for-tables-rows-and-columns-in-css-or-javascript