在API Gateway的CORS设置中添加Access-Control-Allow-Origin头信息。在Lambda函数中添加一个返回头部信息的代码，以便API Gateway具有正确的CORS配置：

exports.handler = function(event, context, callback) {
  const response = {
    statusCode: 200,
    headers: {
      "Access-Control-Allow-Origin": "*",
      "Access-Control-Allow-Headers": "Content-Type,X-Amz-Date,Authorization,X-Api-Key,X-Amz-Security-Token",
      "Access-Control-Allow-Credentials" : true ,
      "Content-Type": "application/json"
    },
    body: JSON.stringify({"message": "Hello World"})
  };
  callback(null, response);
};