diff --git a/docs/chapter_hashing/hash_algorithm.md b/docs/chapter_hashing/hash_algorithm.md
index d753d72b4..0ffc96d0d 100644
--- a/docs/chapter_hashing/hash_algorithm.md
+++ b/docs/chapter_hashing/hash_algorithm.md
@@ -346,7 +346,29 @@ $$
 === "Kotlin"
 
     ```kotlin title="built_in_hash.kt"
+    val num = 3
+    val hashNum = num.hashCode()
+    // 整数 3 的哈希值为 3
+
+    val bol = true
+    val hashBol = bol.hashCode()
+    // 布尔量 true 的哈希值为 1231
+
+    val dec = 3.14159
+    val hashDec = dec.hashCode()
+    // 小数 3.14159 的哈希值为 -1340954729
+
+    val str = "Hello 算法"
+    val hashStr = str.hashCode()
+    // 字符串“Hello 算法”的哈希值为 -727081396
+
+    val arr = arrayOf<Any>(12836, "小哈")
+    val hashTup = arr.hashCode()
+    // 数组 [12836, 小哈] 的哈希值为 189568618
 
+    val obj = ListNode(0)
+    val hashObj = obj.hashCode()
+    // 节点对象 utils.ListNode@1d81eb93 的哈希值为 495053715
     ```
 
 === "Zig"
diff --git a/docs/chapter_hashing/hash_map.md b/docs/chapter_hashing/hash_map.md
index cba5c8b3e..66c5565b8 100755
--- a/docs/chapter_hashing/hash_map.md
+++ b/docs/chapter_hashing/hash_map.md
@@ -270,7 +270,24 @@
 === "Kotlin"
 
     ```kotlin title="hash_map.kt"
-
+    /* 初始化哈希表 */
+    val map = HashMap<Int,String>()
+    
+    /* 添加操作 */
+    // 在哈希表中添加键值对 (key, value)
+    map[12836] = "小哈"
+    map[15937] = "小啰"
+    map[16750] = "小算"
+    map[13276] = "小法"
+    map[10583] = "小鸭"
+    
+    /* 查询操作 */
+    // 向哈希表中输入键 key ，得到值 value
+    val name = map[15937]
+    
+    /* 删除操作 */
+    // 在哈希表中删除键值对 (key, value)
+    map.remove(10583)
     ```
 
 === "Zig"
@@ -471,7 +488,19 @@
 === "Kotlin"
 
     ```kotlin title="hash_map.kt"
-
+    /* 遍历哈希表 */
+    // 遍历键值对 key->value
+    for ((key, value) in map) {
+        println("$key -> $value")
+    }
+    // 单独遍历键 key
+    for (key in map.keys) {
+        println(key)
+    }
+    // 单独遍历值 value
+    for (_val in map.values) {
+        println(_val)
+    }
     ```
 
 === "Zig"