匹配数组中的项目或项目

Question

我正在使用mongoose，这是我的订单架构：

var orderSchema = new Schema({
    user: { type : Schema.Types.ObjectId, ref: 'User', required : true },
    note: { type : String },
    paidWithCredit: { type : Boolean, default : false },
    createdOn: { type : Date, default : Date.now },
    products : { type: [
        {
            product: { type : Schema.Types.ObjectId, ref: 'Product', required : true },
            taken: { type : Boolean, default: false},
            paid: { type : Boolean, default: false}
        }
    ], required:  true }

}, {collection: 'Orders'});

以下是订单文档的示例：

{
    "_id": "59f08ed17c13831fa8837176",
    "user": "59f079f15d021c2ab8d96185",
    "products": [
        {
            "product": "59eb7fa3c6cc101434b4ced4",
            "_id": "59f08ed17c13831fa883717f",
            "paid": false,
            "taken": false
        },
        {
            "product": "59eb7f8fc6cc101434b4ced3",
            "_id": "59f08ed17c13831fa883717e",
            "paid": false,
            "taken": false
        },
        {
            "product": "59eb7f75c6cc101434b4ced2",
            "_id": "59f08ed17c13831fa883717d",
            "paid": false,
            "taken": false
        },
        {
            "product": "59eb7f63c6cc101434b4ced1",
            "_id": "59f08ed17c13831fa883717c",
            "paid": false,
            "taken": false
        },
        {
            "product": "59eb7f51c6cc101434b4ced0",
            "_id": "59f08ed17c13831fa883717b",
            "paid": false,
            "taken": false
        },
        {
            "product": "59eb7f03c6cc101434b4cecf",
            "_id": "59f08ed17c13831fa883717a",
            "paid": false,
            "taken": false
        },
        {
            "product": "59eb7eefc6cc101434b4cece",
            "_id": "59f08ed17c13831fa8837179",
            "paid": false,
            "taken": false
        },
        {
            "product": "59eb7e57c6cc101434b4cecb",
            "_id": "59f08ed17c13831fa8837178",
            "paid": false,
            "taken": false
        },
        {
            "product": "59eb7d29ca88db092874d2c4",
            "_id": "59f08ed17c13831fa8837177",
            "paid": false,
            "taken": false
        }
    ],
    "createdOn": "2017-10-25T13:17:05.218Z",
    "paidWithCredit": false,
    "__v": 0
}

我要查找包含特定产品或一系列产品中的一种产品的订单。 我试着像这样查询：

{
    "products": {
        "$in": [
            {
                "_id": "59f08ed17c13831fa883717f",
                "paid": false,
                "taken": false
            }
        ]
    }
}

甚至像这样简单的查询：

{
    "products": {
        "product": "59f08ed17c13831fa883717f"
    }
}

我正在努力的事情都没有。 我只想查询Orders集合中包含“products”属性中包含给定Product ids数组的至少一个id的Orders。