[xbit]

На первую страницу вставьте:

document.getElementById('1').onclick = function(e)
{
    setCookie('show_me_you_power', 'i_do');
}

На вторую:

document.onload = function(e) { 
var get = getCookie('show_me_you_power');
if ( get == 'i_do' ) document.getElementById('1').click();
}

На обе страницы:

function getCookie(name) {
  var matches = document.cookie.match(new RegExp(
    "(?:^|; )" + name.replace(/([\.$?*|{}\(\)\[\]\\\/\+^])/g, '\\$1') + "=([^;]*)"
  ));
  return matches ? decodeURIComponent(matches[1]) : undefined;
}

function setCookie(name, value, options) {
  options = options || {};

  var expires = options.expires;

  if (typeof expires == "number" && expires) {
    var d = new Date();
    d.setTime(d.getTime() + expires * 1000);
    expires = options.expires = d;
  }
  if (expires && expires.toUTCString) {
    options.expires = expires.toUTCString();
  }

  value = encodeURIComponent(value);

  var updatedCookie = name + "=" + value;

  for (var propName in options) {
    updatedCookie += "; " + propName;
    var propValue = options[propName];
    if (propValue !== true) {
      updatedCookie += "=" + propValue;
    }
  }

  document.cookie = updatedCookie;
}