用Python写一个平衡二叉树

非常感谢您的提问，我可以回答这个问题。平衡二叉树是一种特殊的二叉搜索树，它的左右子树的高度差不超过1。在Python中，可以使用类来实现平衡二叉树。具体实现方法可以参考以下代码：

class TreeNode:
    def __init__(self, val):
        self.val = val
        self.left = None
        self.right = None
        self.height = 1

class AVLTree:
    def __init__(self):
        self.root = None

    def insert(self, val):
        self.root = self._insert(self.root, val)

    def _insert(self, node, val):
        if not node:
            return TreeNode(val)
        elif val < node.val:
            node.left = self._insert(node.left, val)
        else:
            node.right = self._insert(node.right, val)

        node.height = 1 + max(self._get_height(node.left), self._get_height(node.right))

        balance = self._get_balance(node)

        if balance > 1 and val < node.left.val:
            return self._right_rotate(node)

        if balance < -1 and val > node.right.val:
            return self._left_rotate(node)

        if balance > 1 and val > node.left.val:
            node.left = self._left_rotate(node.left)
            return self._right_rotate(node)

        if balance < -1 and val < node.right.val:
            node.right = self._right_rotate(node.right)
            return self._left_rotate(node)

        return node

    def _left_rotate(self, node):
        new_root = node.right
        node.right = new_root.left
        new_root.left = node

        node.height = 1 + max(self._get_height(node.left), self._get_height(node.right))
        new_root.height = 1 + max(self._get_height(new_root.left), self._get_height(new_root.right))

        return new_root

    def _right_rotate(self, node):
        new_root = node.left
        node.left = new_root.right
        new_root.right = node

        node.height = 1 + max(self._get_height(node.left), self._get_height(node.right))
        new_root.height = 1 + max(self._get_height(new_root.left), self._get_height(new_root.right))

        return new_root

    def _get_height(self, node):
        if not node:
            return 0
        return node.height

    def _get_balance(self, node):
        if not node:
            return 0
        return self._get_height(node.left) - self._get_height(node.right)

以上是一个简单的平衡二叉树的实现，可以通过调用`insert`方法来插入新的节点。