[MD History] Add URL parameter for search.

chrome/browser/resources/md_history/side_bar.html

 <link rel="import" href="chrome://resources/html/polymer.html">
 <link rel="import" href="chrome://resources/polymer/v1_0/app-layout/app-drawer/app-drawer.html">
 <link rel="import" href="chrome://resources/polymer/v1_0/iron-flex-layout/iron-flex-layout.html">
 <link rel="import" href="chrome://resources/polymer/v1_0/iron-selector/iron-selector.html">
 <link rel="import" href="chrome://resources/polymer/v1_0/paper-styles/color.html">
 <link rel="import" href="chrome://resources/polymer/v1_0/paper-styles/typography.html">
 <link rel="import" href="chrome://history/browser_service.html">
 <link rel="import" href="chrome://history/shared_style.html">
 
 <dom-module id="history-side-bar">
@@ skipping 100 matching lines @@
 
     <app-drawer id="drawer" tabindex="0" on-focus="onDrawerFocus_" swipe-open
         align="start">
       <div id="drawer-header">
         <h1>$i18n{title}</h1>
       </div>
       <iron-selector id="menu" selected="{{selectedPage}}"
           selectable=".page-item" attr-for-selected="path"
           fallback-selection="history"
           on-iron-activate="onSelectorActivate_">
-        <a href="/" class="page-item" path="history">
+        <a href="/[[getQueryString_(route)]]" class="page-item" path="history">
           $i18n{historyMenuItem}
         </a>
-        <a href="/syncedTabs" class="page-item" path="syncedTabs">
+        <a href="/syncedTabs[[getQueryString_(route)]]" class="page-item"
+            path="syncedTabs">
           $i18n{openTabsMenuItem}
         </a>
         <div class="separator"></div>
         <a href="chrome://settings/clearBrowserData"
             on-tap="onClearBrowsingDataTap_" id="clear-browsing-data">
           $i18n{clearBrowsingData}
         </a>
         <div id="footer" hidden="[[!showFooter]]">
           <div class="separator"></div>
           <div id="footer-text">$i18nRaw{sidebarFooter}</div>
         </div>
       </iron-selector>
     </app-drawer>
   </template>
   <script src="chrome://history/side_bar.js"></script>
 </dom-module>