关于vue3.0中的this.$router.replace({ path: '/'})刷新无效果问题

cnpm install less less-loader --save-dev

<div class="myfooterbox">
<div>外卖</div>
<div>搜索</div>
<div>订单</div>
<div>我的</div>
</div>

.myfooterbox {
width: 100%;
display: flex;
justify-content: space-between;
position: fixed;
bottom: 0;
left: 0;
} 

this.$router.push({ path: "/search" });

.on {
background: pink;
}

<div @click="handlersell" :class="{ on: '/' === $route.path }">外卖</div>
<div @click="handlersearch" :class="{ on: '/search' === $route.path }">搜索</div>

<div @click="handlersell" :class="{ on: '/' === $route.path }">外卖</div>
<div @click="handlersearch" :class="{ on: '/search' === $route.path }">搜所 </div>

methods: {
handlersell() {
this.$router.push({ path: "/" });
},
handlersearch() {
this.$router.push({ path: "/search" });
},
}

<div @click="handlergo('/')" :class="{ on: '/' === $route.path }">外卖</div>
<div @click="handlergo('/search')" :class="{ on: '/search' === $route.path }" >搜索</div>

handlergo(path) {
this.$router.replace(path);
}