diff --git a/Lib/test/test_urllib2.py b/Lib/test/test_urllib2.py
index b2f7ea8..02dc83c 100644
--- a/Lib/test/test_urllib2.py
+++ b/Lib/test/test_urllib2.py
@@ -1249,6 +1249,16 @@
         self.assertEqual("www.python.org", self.get.get_origin_req_host())
         self.assertEqual("www.perl.org", self.get.get_host())
 
+    def test_wrapped_url(self):
+        req = Request("<URL:http://www.python.org>")
+        self.assertEqual("www.python.org", req.get_host())
+
+    def test_urlwith_fragment(self):
+        req = Request("http://www.python.org/?qs=query#fragment=true")
+        self.assertEqual("/?qs=query", req.get_selector())
+        req = Request("http://www.python.org/#fun=true")
+        self.assertEqual("/", req.get_selector())
+
 
 def test_main(verbose=None):
     from test import test_urllib2
diff --git a/Lib/test/test_urllib2net.py b/Lib/test/test_urllib2net.py
index ff7c7bf..8b9435a 100644
--- a/Lib/test/test_urllib2net.py
+++ b/Lib/test/test_urllib2net.py
@@ -149,6 +149,13 @@
 
 ##             self._test_urls(urls, self._extra_handlers()+[bauth, dauth])
 
+    def test_urlwithfrag(self):
+        urlwith_frag = "http://docs.python.org/glossary.html#glossary"
+        req = urllib.request.Request(urlwith_frag)
+        res = urllib.request.urlopen(req)
+        self.assertEqual(res.geturl(),
+                "http://docs.python.org/glossary.html")
+
     def _test_urls(self, urls, handlers, retry=True):
         import time
         import logging