实现效果如下：

代码如下：

<template>
  <div>
    <el-table
      ref="multipleTable"
      :data="tableData"
      tooltip-effect="dark"
      style="width: 100%"
      @selection-change="handleSelectionChange"
    >
      <el-table-column type="selection" width="55"> </el-table-column>
      <el-table-column label="日期" width="120">
        <template slot-scope="scope">{{ scope.row.id }}</template>
      </el-table-column>
      <el-table-column prop="name" label="姓名" width="120"> </el-table-column>
      <el-table-column prop="address" label="地址" show-overflow-tooltip>
      </el-table-column>
    </el-table>
    <div>
      <p v-for="(item, index) of multipleSelection" :key="index">
        {{ item.name }}
        <span @click="delect(item, index)">删除</span>
      </p>
    </div>
  </div>
</template>
<script>
export default {
  name: "HomeIndex",
  components: {},
  data() {
    return {
      tableData: [],
      multipleSelection: [],
    };
  },
  created() {
    this.allCheck();
  },
  mounted() {},
  methods: {
    allCheck() {
      this.tableData = [
        {
          id: "2016-05-03",
          name: "王小虎",
          address: "上海市普陀区金沙江路 1518 弄",
        },
        {
          id: "2016-05-02",
          name: "王小虎",
          address: "上海市普陀区金沙江路 1518 弄",
        },
        {
          id: "2016-05-04",
          name: "王小虎",
          address: "上海市普陀区金沙江路 1518 弄",
        },
        {
          id: "2016-05-01",
          name: "王小虎",
          address: "上海市普陀区金沙江路 1518 弄",
        },
        {
          id: "2016-05-08",
          name: "王小虎",
          address: "上海市普陀区金沙江路 1518 弄",
        },
        {
          id: "2016-05-06",
          name: "王小虎",
          address: "上海市普陀区金沙江路 1518 弄",
        },
        {
          id: "2016-05-07",
          name: "王小虎",
          address: "上海市普陀区金沙江路 1518 弄",
        },
      ];
      this.multipleTable = [
        {
          id: "2016-05-03",
          name: "王小虎",
          address: "上海市普陀区金沙江路 1518 弄",
        },
        {
          id: "2016-05-02",
          name: "王小虎",
          address: "上海市普陀区金沙江路 1518 弄",
        },
        {
          id: "2016-05-04",
          name: "王小虎",
          address: "上海市普陀区金沙江路 1518 弄",
        },
        {
          id: "2016-05-01",
          name: "王小虎",
          address: "上海市普陀区金沙江路 1518 弄",
        },
        {
          id: "2016-05-08",
          name: "王小虎",
          address: "上海市普陀区金沙江路 1518 弄",
        },
        {
          id: "2016-05-06",
          name: "王小虎",
          address: "上海市普陀区金沙江路 1518 弄",
        },
      ];
      let checkedId = [];
      for (let item of this.multipleTable) {
        checkedId.push(item.id);
      }
      this.$nextTick(() => {
        for (let key in this.tableData) {
          if (checkedId.indexOf(this.tableData[key]["id"]) !== -1) {
            this.$refs.multipleTable.toggleRowSelection(
              this.tableData[key],
              true
            );
          }
        }
      });
    },
    handleSelectionChange(val) {
      this.multipleSelection = val;
    },
    delect(item, index) {
      this.$refs.multipleTable.toggleRowSelection(
        this.tableData.find((ite) => ite.id == item.id),
        false
      );
    },
  },
};
</script>
<style   scoped>
</style>