Version:           3.5.2 (using KDE 3.5.2, Kubuntu Package 4:3.5.2-0ubuntu16 dapper)
Compiler:          Target: i486-linux-gnu
OS:                Linux (i686) release 2.6.15-21-386

I had about four open tabs.
I tried a Google search, and Konqueror suddenly crashed.
I cannot think of doing anything special. The only application running besides Konqueror was Konsole.

This is the backtrace I got:

(no debugging symbols found)
Using host libthread_db library "/lib/tls/i686/cmov/libthread_db.so.1".
(no debugging symbols found)
[...]
(no debugging symbols found)
[Thread debugging using libthread_db enabled]
[New Thread -1231665472 (LWP 4733)]
(no debugging symbols found)
[...]
(no debugging symbols found)
[KCrash handler]
#6  0xb6e2b277 in KLineEdit::keyPressEvent () from /usr/lib/libkdeui.so.4
#7  0xb5fb49e4 in non-virtual thunk to DOM::HTMLObjectBaseElementImpl::~HTMLObjectBaseElementImpl() () from /usr/lib/libkhtml.so.4
#8  0x089a0518 in ?? ()
#9  0x08c52180 in ?? ()
#10 0xbffcad28 in ?? ()
#11 0xb72a4150 in QEvent::~QEvent () from /usr/lib/libqt-mt.so.3
#12 0xb5ff93d3 in non-virtual thunk to DOM::HTMLObjectBaseElementImpl::~HTMLObjectBaseElementImpl() () from /usr/lib/libkhtml.so.4
#13 0x089a0518 in ?? ()
#14 0x08c52180 in ?? ()
#15 0x0000001f in ?? ()
#16 0xb7d8e3b4 in free () from /lib/tls/i686/cmov/libc.so.6
#17 0xb5f7e5f0 in DOM::checkChild () from /usr/lib/libkhtml.so.4
#18 0xb5f9a1c8 in DOM::checkChild () from /usr/lib/libkhtml.so.4
#19 0xb5f6caf7 in DOM::XMLAttributeReader::~XMLAttributeReader ()
   from /usr/lib/libkhtml.so.4
#20 0xb5f6ced0 in DOM::XMLAttributeReader::~XMLAttributeReader ()
   from /usr/lib/libkhtml.so.4
#21 0xb5f6fc58 in DOM::XMLAttributeReader::~XMLAttributeReader ()
   from /usr/lib/libkhtml.so.4
#22 0xb5ef4e5b in KHTMLView::dispatchKeyEventHelper ()
   from /usr/lib/libkhtml.so.4
#23 0xb5f062fb in KHTMLView::dispatchKeyEvent () from /usr/lib/libkhtml.so.4
#24 0xb5f2ca67 in KHTMLView::keyPressEvent () from /usr/lib/libkhtml.so.4
#25 0xb5efacec in KHTMLView::eventFilter () from /usr/lib/libkhtml.so.4
#26 0xb72f2f72 in QObject::activate_filters () from /usr/lib/libqt-mt.so.3
#27 0xb72f2ff0 in QObject::event () from /usr/lib/libqt-mt.so.3
#28 0xb733051a in QWidget::event () from /usr/lib/libqt-mt.so.3
#29 0xb73d64df in QLineEdit::event () from /usr/lib/libqt-mt.so.3
#30 0xb5fba2a6 in non-virtual thunk to DOM::HTMLObjectBaseElementImpl::~HTMLObjectBaseElementImpl() () from /usr/lib/libkhtml.so.4
#31 0x089a0518 in ?? ()
#32 0xbffcb720 in ?? ()
#33 0xbffcb218 in ?? ()
#34 0xb77a697c in ?? () from /usr/lib/libqt-mt.so.3
#35 0x00000000 in ?? ()

Hope that helps.