diff --git a/docs/.vitepress/theme/components/Backtotop.vue b/docs/.vitepress/theme/components/Backtotop.vue
new file mode 100644
index 0000000..283aeea
--- /dev/null
+++ b/docs/.vitepress/theme/components/Backtotop.vue
@@ -0,0 +1,151 @@
+<template>
+  <Transition name="fade">
+    <div class="back-top-container" v-show="showBackTop">
+      <svg class="progress-ring" viewBox="0 0 100 100">
+        <circle class="progress-ring-background" cx="50" cy="50" r="42" />
+        <circle 
+          class="progress-ring-circle" 
+          cx="50" 
+          cy="50" 
+          r="42"
+          :style="{'stroke-dashoffset': circumference - (scrollProgress * circumference)}"
+        />
+      </svg>
+      <div 
+        class="vitepress-backTop-main" 
+        title="返回顶部" 
+        @click="scrollToTop()"
+      >
+        <svg class="icon" viewBox="0 0 1024 1024">
+          <path d="M752.736 431.063C757.159 140.575 520.41 8.97 504.518 0.41V0l-0.45 0.205-0.41-0.205v0.41c-15.934 8.56-252.723 140.165-248.259 430.653-48.21 31.457-98.713 87.368-90.685 184.074 8.028 96.666 101.007 160.768 136.601 157.287 35.595-3.482 25.232-30.31 25.232-30.31l12.206-50.095s52.47 80.569 69.304 80.528c15.114-1.23 87-0.123 95.6 0h0.82c8.602-0.123 80.486-1.23 95.6 0 16.794 0 69.305-80.528 69.305-80.528l12.165 50.094s-10.322 26.83 25.272 30.31c35.595 3.482 128.574-60.62 136.602-157.286 8.028-96.665-42.475-152.617-90.685-184.074z m-248.669-4.26c-6.758-0.123-94.781-3.359-102.891-107.192 2.95-98.714 95.97-107.438 102.891-107.93 6.964 0.492 99.943 9.216 102.892 107.93-8.11 103.833-96.174 107.07-102.892 107.192z m-52.019 500.531c0 11.838-9.42 21.382-21.012 21.382a21.217 21.217 0 0 1-21.054-21.34V821.74c0-11.797 9.421-21.382 21.054-21.382 11.591 0 21.012 9.585 21.012 21.382v105.635z m77.333 57.222a21.504 21.504 0 0 1-21.34 21.626 21.504 21.504 0 0 1-21.34-21.626V827.474c0-11.96 9.543-21.668 21.299-21.668 11.796 0 21.38 9.708 21.38 21.668v157.082z m71.147-82.043c0 11.796-9.42 21.34-21.053 21.34a21.217 21.217 0 0 1-21.013-21.34v-75.367c0-11.755 9.421-21.299 21.013-21.299 11.632 0 21.053 9.544 21.053 21.3v75.366z" fill="#FFF"/>
+        </svg>
+      </div>
+    </div>
+  </Transition>
+</template>
+
+<script setup lang="ts">
+import { onBeforeUnmount, onMounted, ref, computed } from "vue";
+
+const showBackTop = ref(false); // 初始状态设为false
+const scrollProgress = ref(0);
+
+// 圆形进度条计算
+const radius = 42;
+const circumference = computed(() => 2 * Math.PI * radius);
+
+const scrollToTop = () => {
+  window.scrollTo({
+    top: 0,
+    behavior: "smooth",
+  });
+}
+
+// 使用更高效的节流函数
+const throttle = (fn, delay = 50) => {
+  let timer = null;
+  return function(...args) {
+    if (!timer) {
+      timer = setTimeout(() => {
+        fn.apply(this, args);
+        timer = null;
+      }, delay);
+    }
+  };
+}
+
+const updateScrollProgress = () => {
+  const { scrollY, innerHeight } = window;
+  const { scrollHeight } = document.documentElement;
+  const totalScroll = scrollHeight - innerHeight;
+  scrollProgress.value = totalScroll > 0 ? Math.min(scrollY / totalScroll, 1) : 0;
+};
+
+const handleScroll = throttle(() => {
+  // 当滚动超过100px时显示，否则隐藏
+  const shouldShow = window.scrollY > 100;
+  showBackTop.value = shouldShow;
+  updateScrollProgress();
+});
+
+onMounted(() => {
+  window.addEventListener("scroll", handleScroll);
+  updateScrollProgress();
+});
+
+onBeforeUnmount(() => {
+  window.removeEventListener("scroll", handleScroll);
+});
+</script>
+
+<style scoped>
+.back-top-container {
+  position: fixed;
+  bottom: 20px;
+  right: 20px;
+  width: 60px;
+  height: 60px;
+  z-index: 999;
+}
+
+.vitepress-backTop-main {
+  position: absolute;
+  top: 50%;
+  left: 50%;
+  transform: translate(-50%, -50%);
+  cursor: pointer;
+  width: 44px;
+  height: 44px;
+  border-radius: 50%;
+  background-color: #3eaf7c;
+  padding: 8px;
+  box-shadow: 0 2px 8px rgba(0, 0, 0, 0.15);
+  display: flex;
+  align-items: center;
+  justify-content: center;
+  z-index: 2;
+  transition: background-color 0.2s ease;
+}
+
+.vitepress-backTop-main:hover {
+  background-color: #71cda3;
+}
+
+.progress-ring {
+  position: absolute;
+  width: 100%;
+  height: 100%;
+  transform: rotate(-90deg);
+  z-index: 1;
+}
+
+.progress-ring-background {
+  fill: none;
+  stroke: rgba(62, 175, 124, 0.15);
+  stroke-width: 3;
+}
+
+.progress-ring-circle {
+  fill: none;
+  stroke: #3eaf7c;
+  stroke-width: 3;
+  stroke-dasharray: 264; /* 2 * π * 42 */
+  stroke-linecap: round;
+  transition: stroke-dashoffset 0.15s ease-out;
+}
+
+.icon {
+  width: 24px;
+  height: 24px;
+}
+
+.fade-enter-active,
+.fade-leave-active {
+  transition: opacity 0.3s ease;
+}
+
+.fade-enter-from,
+.fade-leave-to {
+  opacity: 0;
+}
+</style>
\ No newline at end of file
diff --git a/docs/.vitepress/theme/components/MyLayout.vue b/docs/.vitepress/theme/components/MyLayout.vue
index c6ec739..7cd56be 100644
--- a/docs/.vitepress/theme/components/MyLayout.vue
+++ b/docs/.vitepress/theme/components/MyLayout.vue
@@ -12,6 +12,10 @@
           <template #doc-before>
             <ArticleMetadat />
           </template>
+
+          <template #doc-footer-before>
+            <Backtotop />
+          </template>
         </DefaultTheme.Layout>
       </div>
     </Transition>
@@ -21,6 +25,7 @@
 <script setup lang="ts">
 import DefaultTheme from 'vitepress/theme'
 import ArticleMetadat from './ArticleMetadata.vue';
+import Backtotop from './Backtotop.vue';
 import Loading from './Loading.vue';
 import { ref, onMounted } from 'vue'
 
diff --git a/pnpm-lock.yaml b/pnpm-lock.yaml
index 4a05286..29a9c1a 100644
--- a/pnpm-lock.yaml
+++ b/pnpm-lock.yaml
@@ -35,10 +35,10 @@ importers:
         version: 11.12.2
       vitepress:
         specifier: 1.6.4
-        version: 1.6.4(@algolia/client-search@5.45.0)(@types/node@24.10.1)(postcss@8.5.6)(search-insights@2.17.3)
+        version: 1.6.4(@algolia/client-search@5.45.0)(@types/node@24.10.1)(postcss@8.5.15)(search-insights@2.17.3)
       vitepress-plugin-mermaid:
         specifier: ^2.0.17
-        version: 2.0.17(mermaid@11.12.2)(vitepress@1.6.4(@algolia/client-search@5.45.0)(@types/node@24.10.1)(postcss@8.5.6)(search-insights@2.17.3))
+        version: 2.0.17(mermaid@11.12.2)(vitepress@1.6.4(@algolia/client-search@5.45.0)(@types/node@24.10.1)(postcss@8.5.15)(search-insights@2.17.3))
 
 packages:
 
@@ -1069,6 +1069,11 @@ packages:
     engines: {node: ^10 || ^12 || ^13.7 || ^14 || >=15.0.1}
     hasBin: true
 
+  nanoid@3.3.12:
+    resolution: {integrity: sha512-ZB9RH/39qpq5Vu6Y+NmUaFhQR6pp+M2Xt76XBnEwDaGcVAqhlvxrl3B2bKS5D3NH3QR76v3aSrKaF/Kiy7lEtQ==}
+    engines: {node: ^10 || ^12 || ^13.7 || ^14 || >=15.0.1}
+    hasBin: true
+
   non-layered-tidy-tree-layout@2.0.2:
     resolution: {integrity: sha512-gkXMxRzUH+PB0ax9dUN0yYF0S25BqeAYqhgMaLUFmpXLEk7Fcu8f4emJuOAY0V8kjDICxROIKsTAKsV/v355xw==}
 
@@ -1099,6 +1104,10 @@ packages:
   points-on-path@0.2.1:
     resolution: {integrity: sha512-25ClnWWuw7JbWZcgqY/gJ4FQWadKxGWk+3kR/7kD0tCaDtPPMj7oHu2ToLaVhfpnHrZzYby2w6tUA0eOIuUg8g==}
 
+  postcss@8.5.15:
+    resolution: {integrity: sha512-FfR8sjd4em2T6fb3I2MwAJU7HWVMr9zba+enmQeeWFfCbm+UOC/0X4DS8XtpUTMwWMGbjKYP7xjfNekzyGmB3A==}
+    engines: {node: ^10 || ^12 || >=14}
+
   postcss@8.5.6:
     resolution: {integrity: sha512-3Ybi1tAuwAP9s0r1UQ2J4n5Y0G05bJkpUIO0/bI9MhwmD70S5aTWbXGBwxHrelT+XM1k6dM0pk+SwNkpTRN7Pg==}
     engines: {node: ^10 || ^12 || >=14}
@@ -2397,6 +2406,9 @@ snapshots:
 
   nanoid@3.3.11: {}
 
+  nanoid@3.3.12:
+    optional: true
+
   non-layered-tidy-tree-layout@2.0.2:
     optional: true
 
@@ -2429,6 +2441,13 @@ snapshots:
       path-data-parser: 0.1.0
       points-on-curve: 0.2.0
 
+  postcss@8.5.15:
+    dependencies:
+      nanoid: 3.3.12
+      picocolors: 1.1.1
+      source-map-js: 1.2.1
+    optional: true
+
   postcss@8.5.6:
     dependencies:
       nanoid: 3.3.11
@@ -2593,14 +2612,14 @@ snapshots:
     dependencies:
       viewerjs: 1.11.7
 
-  vitepress-plugin-mermaid@2.0.17(mermaid@11.12.2)(vitepress@1.6.4(@algolia/client-search@5.45.0)(@types/node@24.10.1)(postcss@8.5.6)(search-insights@2.17.3)):
+  vitepress-plugin-mermaid@2.0.17(mermaid@11.12.2)(vitepress@1.6.4(@algolia/client-search@5.45.0)(@types/node@24.10.1)(postcss@8.5.15)(search-insights@2.17.3)):
     dependencies:
       mermaid: 11.12.2
-      vitepress: 1.6.4(@algolia/client-search@5.45.0)(@types/node@24.10.1)(postcss@8.5.6)(search-insights@2.17.3)
+      vitepress: 1.6.4(@algolia/client-search@5.45.0)(@types/node@24.10.1)(postcss@8.5.15)(search-insights@2.17.3)
     optionalDependencies:
       '@mermaid-js/mermaid-mindmap': 9.3.0
 
-  vitepress@1.6.4(@algolia/client-search@5.45.0)(@types/node@24.10.1)(postcss@8.5.6)(search-insights@2.17.3):
+  vitepress@1.6.4(@algolia/client-search@5.45.0)(@types/node@24.10.1)(postcss@8.5.15)(search-insights@2.17.3):
     dependencies:
       '@docsearch/css': 3.8.2
       '@docsearch/js': 3.8.2(@algolia/client-search@5.45.0)(search-insights@2.17.3)
@@ -2621,7 +2640,7 @@ snapshots:
       vite: 5.4.21(@types/node@24.10.1)
       vue: 3.5.25
     optionalDependencies:
-      postcss: 8.5.6
+      postcss: 8.5.15
     transitivePeerDependencies:
       - '@algolia/client-search'
       - '@types/node'