提供一个vue前端页面示例，样式使用elementui，页面包括带文字描述的轮播图、光标悬停放大的图片展示、光标悬停有提示的返回顶部

以下是一个简单的vue前端页面示例，使用了element-ui库，包括带文字描述的轮播图、光标悬停放大的图片展示、光标悬停有提示的返回顶部。

<template>
  <div class="home">
    <el-carousel :interval="5000" arrow="always">
      <el-carousel-item v-for="item in carouselItems" :key="item.id">
        <img :src="item.image" alt="">
        <div class="carousel-desc">
          <h3>{{ item.title }}</h3>
          <p>{{ item.description }}</p>
        </div>
      </el-carousel-item>
    </el-carousel>
    <div class="image-container">
      <div class="image-wrapper">
        <img src="/static/images/sample.jpg" alt="" class="image" @mouseover="showImagePreview=true" @mouseleave="showImagePreview=false">
        <div class="image-preview" v-if="showImagePreview">
          <img src="/static/images/sample.jpg" alt="" class="preview">
        </div>
      </div>
    </div>
    <div class="back-to-top" v-show="showBackToTop" @click="scrollToTop">
      <i class="el-icon-arrow-up"></i>
      <span>返回顶部</span>
    </div>
  </div>
</template>

<script>
export default {
  data() {
    return {
      carouselItems: [
        {
          id: 1,
          image: '/static/images/carousel1.jpg',
          title: '标题1',
          description: '描述1'
        },
        {
          id: 2,
          image: '/static/images/carousel2.jpg',
          title: '标题2',
          description: '描述2'
        },
        {
          id: 3,
          image: '/static/images/carousel3.jpg',
          title: '标题3',
          description: '描述3'
        }
      ],
      showImagePreview: false,
      showBackToTop: false
    }
  },
  methods: {
    scrollToTop() {
      window.scrollTo({
        top: 0,
        behavior: 'smooth'
      })
    }
  },
  mounted() {
    window.addEventListener('scroll', () => {
      this.showBackToTop = window.scrollY > 300
    })
  }
}
</script>

<style scoped>
.home {
  padding: 20px;
}

.carousel-desc {
  position: absolute;
  bottom: 0;
  left: 0;
  right: 0;
  background-color: rgba(0, 0, 0, 0.5);
  color: #fff;
  padding: 10px;
}

.carousel-desc h3 {
  margin: 0;
  font-size: 24px;
}

.carousel-desc p {
  margin: 5px 0 0;
  font-size: 14px;
}

.image-container {
  margin-top: 30px;
  text-align: center;
}

.image-wrapper {
  position: relative;
  display: inline-block;
}

.image {
  max-width: 100%;
  height: auto;
  transition: transform 0.3s;
}

.image-preview {
  position: absolute;
  top: -150px;
  left: calc(50% - 150px);
  width: 300px;
  height: 300px;
  border-radius: 50%;
  background-color: #fff;
  box-shadow: 0 0 10px rgba(0, 0, 0, 0.5);
  overflow: hidden;
  z-index: 10;
  opacity: 0;
  transition: opacity 0.3s;
}

.preview {
  max-width: 100%;
  max-height: 100%;
}

.back-to-top {
  position: fixed;
  bottom: 30px;
  right: 30px;
  background-color: #999;
  color: #fff;
  padding: 10px 20px;
  border-radius: 3px;
  cursor: pointer;
  opacity: 0;
  transition: opacity 0.3s;
}

.back-to-top:hover {
  background-color: #333;
}

.back-to-top i {
  margin-right: 5px;
}
</style>