SOURCE

var newww = new Vue({
    'el': '#page',
    data() {
        return {
            godSon: '',
            nameArr: [
            
                {value: '志勉', key:'zhimian', checked: true},    
                {value: '道恩', key:'daoen', checked: true},    
                {value: '烁根', key:'shuogen', checked: false},    
                {value: '育林', key:'yulin', checked: false},    
                {value: '伟龙', key:'weilong', checked: true},    
                {value: '诗鑫', key:'shixin', checked: true}, 
                {value: '李铮', key:'lizheng', checked: true},
                    {value: '铭辉', key:'minghui', checked: true},    
                {value: '毅鹏', key:'yipeng', checked: true},    
                {value: '绍落', key:'shaoluo', checked: true}, 
                {value: '建瀚', key:'jianhan', checked: true}, 
                {value: '伟进', key:'weijin', checked: true},    
                {value: '镇文', key:'zhenwen', checked: true},
            ],
            newArr: [],
            selectArr: [],
            lastNum: null
        }
    },
    methods:{
        randomName(){
            let filter = this.nameArr.filter(item =>{
                return item.checked
            })
            this.newArr = filter;
            let maxNum = filter.length;
            let minNum = 0;
            let a =parseInt(Math.random()*(maxNum-minNum+1)+minNum,10); 
           
            for(let i in filter){
                if(this.lastNum && this.lastNum == a){
                    continue;
                }
                if(i == a){
                  this.godSon = filter[i].value;
                    console.log('天选之子：'+ this.godSon)
                    this.lastNum = a;
                    return false;
                }
            }
            
        },
        checkInput(json){
            console.log(json.key);
            let arr = this.nameArr;
            arr.map(arrItem => {
                if(arrItem.key == json.key){
                    arrItem.checked = !json.checked
                }
            });
            this.nameArr = arr
        },
    },
})

<div id="page">
        <div v-for="item in nameArr">
            <label :for="item.key"  >
                <input type="checkbox" :id="item.key" :name="item.value" :checked="item.checked" @click="checkInput(item)">
                {{item.value}}
            </label>
        </div>
{{selectArr}}
<div>
    <button @click="randomName">点击</button>
    天选之子：{{godSon}} 
</div>
        
</div>