解决方案：
在 el-form 中 加个 @submit.native.prevent, 在el-input上增加@keydown.enter
<el-form :inline="true" :model="formInline" @submit.native.prevent>
<el-form-item label="">
<el-input placeholder="search for product" v-model="formInline.keyword" @keydown.native.enter="handleSearch">
<div slot="suffix">
<img class="input-search-suffix" src="@/static/images/enquire/search.png" @click.stop="handleSearch"/>
</div>
</el-input>
</el-form-item>
</el-form>
