看起来您的Firefox存储中有一些错误的证书。这是来自yahoo.com和google.com的用于我的浏览器的证书。您会看到它们来自受信任的证书颁发机构-VeriSign和GeoTrust,而您来自SHC发行CA。
如果您的计算机位于公司网络上并且它们具有某种进行SSL检查的设备,则可能发生的唯一另一件事就是SSL检查。但这不太可能,因为它可以在IE和Chrome上正常运行。
雅虎证书
Google证书

看看Firefox上有关如何解决此问题的这篇文章。
https://support.mozilla.org/en-US/kb/secure-connection-failed-error-message
我将尝试删除cert8.db文件:
The file cert8.db in your profile folder may have become corrupted. Delete this file while Firefox is closed.
Open your profile folder:
Click the menu button, click help and select Troubleshooting Information. The Troubleshooting Information tab will open.
Under the Application Basics section, click on Show Folder. A window with your profile files will open.
Note: If you are unable to open or use Firefox, follow the instructions in Finding your profile without opening Firefox.
Click the menu button and then click Exit.
Click on the file named cert8.db.
Press Delete.
Restart Firefox.
cert8.db will be recreated when you restart Firefox. This is normal.
如果没有,我将卸载并重新安装Firefox。
还要进行病毒扫描,以检查是否有恶意软件感染了您的浏览器。