代码

// ==UserScript==
// @name         百度搜索。链接其他搜索。跳转功能。
// @namespace    http://tampermonkey.net/
// @version      0.1(2020-6-24 17:37:27)
// @description  try to take over the world!
// @author       gwd
// @match        https://www.baidu.com/s?*
// @require      http://cdn.bootcss.com/jquery/1.12.4/jquery.min.js
// @grant        none
// ==/UserScript==

(function () {
    'use strict';

    // Your code here...
    //     add(2020-7-13 18:15:25)
    $(function () {
        //         $('div#content_left>div.result.c-container').css('background-color','yellow');
//         .css('border', '5px solid rgb(201 219 241)')
        var statement = `
                <style>
                    #open_buttons button{
                        width: fit-content;
                    }
                    #search_buttons button{
                        background-color: white;
                        color: white;
                        width:100px;
                        height:50px;

                        /*width: fit-content;*/
                    }

                    #search_buttons {
                        display: flex;
                        flex-direction: column;
                        flex-wrap: wrap; /* 允许项目换行 */
                        justify-content: flex-end;
                        /*gap: 0px;*/
                        max-height: 70vh; /* 设置最大高度为视口高度的50% */
                        /*overflow-y: auto;*/ /* 超出部分滚动显示 */
                    }
                </style>
                <script>
                    function opensiblings(obj) {
                        $(obj).siblings().each(function (index, element) {
                            element.click();
                        });
                    }
                    function home() {
                        window.open('http://localhost:8080/');
                    }
                    function search(obj) {
                        window.open($(obj).attr('value') + $('#kw').val());
                    }
                    function click_num(len_) {
                        let len = $('#len_num').val();
                        if (len_ != null)
                            len = len_;
                        for (let i = 0; i < len; i++) {
                            $('div#content_left>div.c-container h3.t>a')[i].click();
                        }
                    };
                </script>
                <div id='inmybox' style='position:fixed;top:80px;right:10px;display: flex;flex-direction: column;align-items: flex-end;font-size: initial;'>
                    <button style='background-color:initial;color: red;' οnclick='home()'>Tomcat首页</button>

                    <div id='open_buttons' style='display: flex;flex-direction: column;align-items: flex-end;'>
                        <p>
                            输入N:<input id='len_num' value='0' style='width:50px;font-size: 20px;' />
                            <button οnclick='click_num()' style='background-color: black;color: white;'>打开前N项</button>
                        </p>
                        <button style='background-color: black;color: white;' οnclick='click_num(3)'>打开前3项</button>
                        <button style='background-color: black;color: white;' οnclick='click_num(5)'>打开前5项</button>
                        <button style='background-color: black;color: white;' οnclick='click_num(10)'>打开前10项</button>
                    </div>

                    结果不满意？试试：
                    <div id='search_buttons'>
                        <button value='https://weixin.sogou.com/weixin?type=2&query=' οnclick='search(this)'>微信搜索</button>
                        <button value='https://www.google.com/search?q=' οnclick='search(this)'>谷歌搜索</button>
                        <button value='https://cn.bing.com/search?q=' οnclick='search(this)'>必应搜索</button>
                        <button value='https://www.sogou.com/web?query=' οnclick='search(this)'>搜狗搜索</button>
                        <button value='https://www.douyu.com/search/?kw=' οnclick='search(this)'>斗鱼搜索</button>
                        <button value='https://search.bilibili.com/all?keyword=' οnclick='search(this)'>bilibili搜索</button>
                        <button value='https://www.zhihu.com/search?q=' οnclick='search(this)'>知乎搜索</button>
                        <button value='https://s.weibo.com/weibo?q=' οnclick='search(this)'>微博搜索</button>
                        <button value='https://www.douyin.com/search/' οnclick='search(this)'>抖音搜索</button>
                        <button οnclick='opensiblings(this)' style='background-color:yellow;color: red;width: fit-content;'>全部打开</button>
                    </div>
                    </br>
                </div>
        `;
        $("div#u").append(statement);
        $("input#len_num").val($('div#content_left>div.c-container').css('margin-bottom','50px').length);
        setTimeout(function () {
            document.body.scrollTop = document.documentElement.scrollTop = 0;
        }, 1000);
        $("#kw").on("keydown", function (event) {
            if (event.keyCode == 13) {
                window.location.href = "https://www.baidu.com/s?wd=" + $(this).val();
                return;
            }
        });
        //         重新定义点击事件。事件(2020-7-13 19:11:22)
        $("div.page-inner>a").click(function () {
            window.location.href = "https://www.baidu.com" + $(this).attr("href");
        });
    });

})();

有改进、优化的地方可以提出建议。
有自己好用的网站脚本代码可以分享。

效果展示