我的数据库中有这样的结构。

[
  {
    _id: ObjectId("6386ef039775398be3620c76"),
    firstName: 'A',
    lastName: 'BA',
    age: 34,
    history: [
      { disease: 'fever', cured: true },
      { disease: 'malaria', cured: false }
    ]
  },
  {
    _id: ObjectId("6386ef239775398be3620c77"),
    firstName: 'AA',
    lastName: 'BA',
    age: 24,
    history: [
      { disease: 'cold', cured: true },
      { disease: 'thyroid', cured: false }
    ]
  }
]

我所要实现的是一个查询，它将为我提供如下数据：
查询

db.collection.find({$filter:{history:{$elemMatch:{cured:false}}}

预期结果：

[
  {
    _id: ObjectId("6386ef039775398be3620c76"),
    firstName: 'A',
    lastName: 'BA',
    age: 34,
    history: [
      { disease: 'malaria', cured: false }
    ]
  },
  {
    _id: ObjectId("6386ef239775398be3620c77"),
    firstName: 'AA',
    lastName: 'BA',
    age: 24,
    history: [
      { disease: 'thyroid', cured: false }
    ]
  }
]

我所尝试的是
1.

db.collection.find({$filter:{history:{$elemMatch:{cured:false}}}

db.collection.aggregate([
    {
      $project: {
        history: {
          $filter: { 
           input: "$history",
            as: "items",
            cond: { cured: false } 
          },
        },
      },
    },
  ]);

db.collection.find({history:{$elemMatch:{cured:true}}},{'history.cured':1})

但是这些查询都没有给出所需的结果，
疑问/问题：
1.是否可以直接从查询中获得预期结果？
1.我的查询哪里出错了？
1.我应该阅读哪些材料来涵盖与此查询相关的更多高级概念？
任何帮助都将不胜感激。如果这个问题太简单，我很抱歉。