2024年成考专升本《高等数学二》每日一练试题04月07日

<p class="introTit">判断题</p><p>1、若<img src="https://img2.meite.com/questions/202307/1364af5780970e6.png" />，则<img src="https://img2.meite.com/questions/202307/1364af578624075.png" />。（）  </p><p>答 案：错</p><p>解 析：<img src="https://img2.meite.com/questions/202212/06638ef8852e1bd.png" />所以<img src="https://img2.meite.com/questions/202212/06638ef88b66bc1.png" />  </p><p class="introTit">单选题</p><p>1、设函数<img src="https://img2.meite.com/questions/202212/0763904a642c61e.png" />，且f（u）二阶可导，则<img src="https://img2.meite.com/questions/202212/0763904a7629d71.png" />（）.</p><ul><li>A：<img src='https://img2.meite.com/questions/202212/0763904a801eadb.png' /></li><li>B：<img src='https://img2.meite.com/questions/202212/0763904a89a6782.png' /></li><li>C：<img src='https://img2.meite.com/questions/202212/0763904a91d59ed.png' /></li><li>D：<img src='https://img2.meite.com/questions/202212/0763904a9d3e2e5.png' /></li></ul><p>答 案：D</p><p>解 析：<img src="https://img2.meite.com/questions/202212/0763904aabbe104.png" />，<img src="https://img2.meite.com/questions/202212/0763904ab8b86c8.png" />.</p><p>2、下列等式中成立的是（）</p><ul><li>A：<img src='https://img2.meite.com/questions/202212/0763902c0a65152.png' /></li><li>B：<img src='https://img2.meite.com/questions/202212/0763902c15e917b.png' /></li><li>C：<img src='https://img2.meite.com/questions/202212/0763902c26761a1.png' /></li><li>D：<img src='https://img2.meite.com/questions/202212/0763902c31733ef.png' /></li></ul><p>答 案：D</p><p>解 析：AD两项，<img src="https://img2.meite.com/questions/202212/0763902c3d17d53.png" />；BC两项，<img src="https://img2.meite.com/questions/202212/0763902c4e157a0.png" /></p><p class="introTit">主观题</p><p>1、计算<img src="https://img2.meite.com/questions/202212/076390384865398.png" />．</p><p>答 案：解：<img src="https://img2.meite.com/questions/202212/076390385942f20.png" /></p><p>2、设函数<img src="https://img2.meite.com/questions/202212/05638d8b4ca7edd.png" />，求y＇．</p><p>答 案：解： <img src="https://img2.meite.com/questions/202212/05638d8b5aed79b.png" /></p><p class="introTit">填空题</p><p>1、已知<img src="https://img2.meite.com/questions/202212/07639032c465822.png" />＝f(x)，则<img src="https://img2.meite.com/questions/202212/07639032db33695.png" />()．</p><p>答 案：<img src="https://img2.meite.com/questions/202212/07639032e6cabb9.png" /></p><p>解 析：<img src="https://img2.meite.com/questions/202212/07639032f2c0b7b.png" /></p><p>2、袋中有编号为1～5的5个小球，现从中任意取2个，则两个球的编号都不大于3的概率为（）．</p><p>答 案：0.3</p><p>解 析：两个球的编号都不大于3的有：1、2，1、3，2、3三种情况．从5个球中任取2个一共<img src="https://img2.meite.com/questions/202212/0863916044091d5.png" />种情况．则两个球的编号都不大于3的概率为<img src="https://img2.meite.com/questions/202212/08639160586e245.png" />．</p><p class="introTit">简答题</p><p>1、设函数<img src="https://img2.meite.com/questions/202303/21641923c520c19.png" />  </p><p>答 案：<img src="https://img2.meite.com/questions/202303/21641923ce06436.png" /></p><p>2、求由方程<img src="https://img2.meite.com/questions/202303/206417f7aa7ea9e.png" />确定的隐函数和全微分  </p><p>答 案：等式两边对x求导，将y看作常数，则<img src="https://img2.meite.com/questions/202303/206417f7d9f15cf.png" />同理<img src="https://img2.meite.com/questions/202303/206417f7eb61c1a.png" />所以<img src="https://img2.meite.com/questions/202303/206417f812145ae.png" /></p>