参考资料：el-table、element Table使用toggleRowSelection添加默认值不生效的原因与解决方法
说明：

• el-table设置row-key用于翻页绑定
• el-table toggleRowSelection方法用于切换选中项状态

<template>
  <el-table
    :data="tableData"
    style="width: 100%"
    ref="multipleTable"
    @selection-change="handleSelectionChange"
    row-key="id"
    >
    <el-table-column
      type="selection"
      width="55">
    </el-table-column>
    <el-table-column
      prop="date"
      label="日期"
      width="180">
    </el-table-column>
    <el-table-column
      prop="name"
      label="姓名"
      width="180">
    </el-table-column>
    <el-table-column
      prop="address"
      label="地址">
    </el-table-column>
  </el-table>
</template>

<style>
  .el-table .warning-row {
    background: oldlace;
  }

  .el-table .success-row {
    background: #f0f9eb;
  }
</style>

<script>
  export default {
    data() {
      return {
        tableData: [{
          date: '2016-05-02',
          name: '王小虎',
          address: '上海市普陀区金沙江路 1518 弄',
        }, {
          date: '2016-05-04',
          name: '王小虎',
          address: '上海市普陀区金沙江路 1518 弄'
        }, {
          date: '2016-05-01',
          name: '王小虎',
          address: '上海市普陀区金沙江路 1518 弄',
        }, {
          date: '2016-05-03',
          name: '王小虎',
          address: '上海市普陀区金沙江路 1518 弄'
        }],
        selectedData:[]
      }
    },
     methods: {
     	// 多选项值变化的时候同步到selectedData
     	handleSelectionChange(val){
     		this.selectedData = val;
     	},
     	// selectedData中的值发生变化时同步到选中项
     	handleSelectedDataChange(){
     		this.selectedData.length && this.selectedData.forEach((item)=>{
     		const row = this.tableData.find((i) => i.id === item.id);
            this.$refs.multipleTable.toggleRowSelection(row); 		
         })
       }
    },
  }
</script>