2024年成考专升本《高等数学二》每日一练试题11月26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z=sin（xy²），则<img src="https://img2.meite.com/questions/202408/1666bf155de012b.png" />等于（）。  </p><ul><li>A：<img src='https://img2.meite.com/questions/202408/1666bf15624727b.png' /></li><li>B：<img src='https://img2.meite.com/questions/202408/1666bf156568410.png' /></li><li>C：<img src='https://img2.meite.com/questions/202408/1666bf1568c5ff5.png' /></li><li>D：<img src='https://img2.meite.com/questions/202408/1666bf156cbf0a7.png' /></li></ul><p>答 案：D</p><p>解 析：z对x求偏导时应将y视为常数，则有 <img src="https://img2.meite.com/questions/202408/1666bf15732f8bb.png" />所以选D。  </p><p>2、<img src="https://img2.meite.com/questions/202303/206417d2db15f92.png" />（）</p><ul><li>A：<img src='https://img2.meite.com/questions/202303/206417d2e14f992.png' /></li><li>B：<img src='https://img2.meite.com/questions/202303/206417d2e686121.png' /></li><li>C：<img src='https://img2.meite.com/questions/202303/206417d2f875e0a.png' /></li><li>D：1</li></ul><p>答 案：A</p><p>解 析：<img src="https://img2.meite.com/questions/202303/206417d30d1d652.png" /></p><p class="introTit">主观题</p><p>1、设A，B为两个随机事件，且P(A)＝0.8，P(AB)＝0.3，求P(A－B)．</p><p>答 案：解：P(A－B)＝P(A－AB)＝P(A)－P(AB)＝0.8－0.3＝0.5．</p><p>2、设<img src="https://img2.meite.com/questions/202212/07638ff5186229d.png" />存在二阶导数，求y'与y''．</p><p>答 案：解：<img src="https://img2.meite.com/questions/202212/07638ff54152541.png" /></p><p class="introTit">填空题</p><p>1、设<img src="https://img2.meite.com/questions/202303/216419500528b21.png" />则y'=（）</p><p>答 案：<img src="https://img2.meite.com/questions/202303/216419501f5a1ba.png" /></p><p>解 析：<img src="https://img2.meite.com/questions/202303/21641950373f02c.png" /><img src="https://img2.meite.com/questions/202303/2164195041dc1d0.png" />所以<img src="https://img2.meite.com/questions/202303/216419504c0f390.png" /></p><p>2、已知<img src="https://img2.meite.com/questions/202212/076390331aa038f.png" />，则f(x)＝()．</p><p>答 案：<img src="https://img2.meite.com/questions/202212/076390332d99dc0.png" /></p><p>解 析：<img src="https://img2.meite.com/questions/202212/076390333bedb2e.png" /></p><p class="introTit">简答题</p><p>1、<img src="https://img2.meite.com/questions/202408/2066c40a1d91b94.png" />  </p><p>答 案：<img src="https://img2.meite.com/questions/202408/2066c40a21428d8.png" /></p><p>2、求<img src="https://img2.meite.com/questions/202303/076406d8fe8decc.png" />  </p><p>答 案：<img src="https://img2.meite.com/questions/202303/076406e34d2aa12.png" /></p>