我们可以简单地将PowerShell版本更新到7+，并在转换为PowerShell对象时使用-Depth选项，并在转换回JSON文件时使用相同的Depth选项。这样，它就解决了这个问题

这似乎是一个使用Class定义“问题”结构的好地方，它可以更容易地将新问题添加到JSON文件中。
第一步是定义类：

class Question {
    [string] $question
    [string[]] $options
    [string] $answer

    Question([string] $question) {
        $this.question = $question
    }

    [Question] AddOptions([scriptblock] $options) {
        $this.options = $options.Invoke()
        return $this
    }

    [Question] AddAnswer([string] $answer) {
        $this.answer = $answer
        return $this
    }

    [psnoteproperty] ToNoteProperty([string] $name) {
        return [psnoteproperty]::new($name, $this)
    }
}

现在你可以这样重复使用它（创建新问题）：

$newQuestion = [Question]::new('12 - 6 = ?').
    AddOptions{ 1, 2, 3, 6 }.
    AddAnswer(6).
    ToNoteProperty('q3')

最后，你可以像这样将这个新问题添加到你的Json中：

$json = Get-Content path\to\jsonfile.json -Raw | ConvertFrom-Json
# `.quiz.maths` is the variable path here, the rest would remain the same
$json.quiz.maths.PSObject.Properties.Add($newQuestion)
$json | ConvertTo-Json -Depth 4 | Set-Content path\to\jsonfile.json

从这个例子中得到的Json将是：

{
  "quiz": {
    "sport": {
      "q1": {
        "question": "Which one is correct team name in NBA?",
        "options": [
          "New York Bulls",
          "Los Angeles Kings",
          "Golden State Warriros",
          "Huston Rocket"
        ],
        "answer": "Huston Rocket"
      }
    },
    "maths": {
      "q1": {
        "question": "5 + 7 = ?",
        "options": [
          "10",
          "11",
          "12",
          "13"
        ],
        "answer": "12"
      },
      "q2": {
        "question": "12 - 8 = ?",
        "options": [
          "1",
          "2",
          "3",
          "4"
        ],
        "answer": "4"
      },
      "q3": {
        "question": "12 - 6 = ?",
        "options": [
          "1",
          "2",
          "3",
          "6"
        ],
        "answer": "6"
      }
    }
  }
}