实现效果：

image.png

只需要给el-table添加row-key el-table-column添加:reserve-selection="true"
代码如下：

  <el-table :data="tableList" border class="table" ref="recordTable" header-cell-class-name="table-header"
                :row-key="getRowKey"  @selection-change="handleSelectionChange"
                >
        <el-table-column
          type="selection"
          width="55"
          :reserve-selection="true"
          align="center"
        >
        </el-table-column>
</el-table>

表格上方需单独加全选按钮，可参考下面代码。

      <el-checkbox
        :indeterminate="indeterminate"
        @change="handleCheck"
        label="所有商品"
        v-model="allCheck">
      </el-checkbox>
      <el-table :data="tableList" border  ref="recordTable" 
                :row-key="getRowKey" @select="handleSelectRow" @selection-change="handleSelectionChange"
                @select-all="handleSelectAll">
        <el-table-column
          type="selection"
          width="55"
          :reserve-selection="true"
          align="center"
        >
        </el-table-column>
      </el-table>

js

data(){
   return:{
      multipleSelectionAll: [],//所有选中的数据包含跨页数据
      allCheck: false,
      indeterminate: false,
      tableList: [],//列表数据-请求得到或自定义
      total: 0,//得到的列表总数
      checkedList: [],//选中列表
      uncheckedList: [],//未选中列表
  }
},
 watch: {
      //监听列表,如果为所有全选,翻页时保持状态
      tableList: {
        handler(value) {
          if (this.allCheck) {
            if (this.uncheckedList.length === 0) {
              this.$nextTick(() => {//这里一定要用$nextTick
                value.forEach(row => {
                  this.$refs.recordTable.toggleRowSelection(row, true)
                })
              })
            } else {
              this.$nextTick(() => {
                value.forEach(row => {
                  for (let i = 0; i < this.uncheckedList.length; i++) {
                    if (row.id === this.uncheckedList[i].id) {
                      this.$refs.recordTable.toggleRowSelection(row, false)
                      break
                    } else {
                      this.$refs.recordTable.toggleRowSelection(row, true)
                    }
                  }
                })
              })
            }
          }
        },
        deep: true
      },
      //监听未选中的数组
      uncheckedList: {
        handler(value) {
          //1.未选中数组长度和总数相等,取消选中状态,取消样式
          if (value.length === this.total) {
            this.allCheck = false
            this.indeterminate = false
          }
          //2.未选中数组长度为0,取消样式
          if (value.length === 0) {
            this.indeterminate = false
          }
        },
        deep: true
      },
      //监听选中数组
      checkedList: {
        handler(value) {
          //选中数组长度等于总数,代表全部选中,取消样式
          if (value.length === this.total) {
            this.allCheck = true
            this.indeterminate = false
          }
        }
      }
    },
  methods: {
        getRowKey(row) {
        return row.id;
      },
      handleSelectRow(rows, row) { //单行选择
        if (this.allCheck) {
          // 多选框样式改变,allCheck依然为true,为了保持翻页状态
          this.indeterminate = true
          // 判断勾选数据行是选中还是取消
          let selected = rows.length && rows.indexOf(row) !== -1
          let lenFalse = this.uncheckedList.length
          if (selected) {
            // 选中,从未选中数组中去掉
            if (lenFalse !== 0) {//
              for (let i = 0; i < lenFalse; i++) {
                if (this.uncheckedList[i].id === row.id) {
                  this.uncheckedList.splice(i, 1)
                  break
                }
              }
            }
          } else {
            // 取消,当前取消的行push进去
            this.uncheckedList.push(row)
          }
        } else {
          this.checkedList = rows
        }
      },
      handleSelectAll(rows) {
        if (this.allCheck) {
          this.indeterminate = true
          let lenNow = this.tableList.length
          // 判断全选本页,是选中还是取消
          console.log(this.tableList[0]);
          if (rows.indexOf(this.tableList[0]) !== -1) {
            //如果选中所有rows存在于tableList,或者判断rows长度不为0  证明是选中状态
            //uncheckedList要删除当前页tableList
            for (let i = 0; i < lenNow; i++) {
              for (let n = 0; n < this.uncheckedList.length; n++) {
                if (this.uncheckedList[n].id === this.tableList[i].id) {
                  this.uncheckedList.splice(n, 1)
                }
              }
            }
          } else {
            // 取消 如果rows为空,当页是取消状态
            for (let j = 0; j < lenNow; j++) {
              if (this.uncheckedList.length !== 0) {//如果uncheckedList已经有值
                if (this.uncheckedList.indexOf(this.tableList[j]) === -1) {
                  //就把uncheckedList中没有的当前页tableList,push进去
                  this.uncheckedList.push(this.tableList[j])
                }
              } else {//如果为空,直接全部push
                this.uncheckedList.push(this.tableList[j])
              }
            }
          }
        } else {
          this.checkedList = rows
        }
      },
      handleCheck() {
        if (this.indeterminate) {//当不为全选样式时,点击变为全选
          this.allCheck = true
        }
        //只要点击了全选所有,这两个数组清空
        this.uncheckedList = []
        this.checkedList = []
        if (this.allCheck) {//全选所有,列表全部选中,包括翻页
          this.tableList.forEach(row => {
            this.$refs.recordTable.toggleRowSelection(row, true)
          })
        } else {//取消列表全选状态,包括翻页
          this.$refs.recordTable.clearSelection()
        }
      },
  //选中数据
      handleSelectionChange(val) {
//选中的数据获取地方
        this.multipleSelectionAll = val;
      },
}