【高中数学】高一上 压轴题中常见奇函数

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<p class="ql-block"><span style="color: rgb(237, 35, 8);">微信公众号搜索“成都数学王健平老师”关注公众号!</span></p><p class="ql-block">高一上学期文章汇总:</p><p class="ql-block"><br></p><p class="ql-block">1、<a href="http://mp.weixin.qq.com/s?__biz=Mzg3MzExNzI5Ng==&amp;mid=2247485294&amp;idx=1&amp;sn=dc0475f79ffd94062b38939dfbae9816&amp;chksm=cee5a471f9922d67a6ae378bc109411141cc30b6ac60b2fadc40d9ede4800aefc56130ae5879&amp;scene=21#wechat_redirect" rel="noopener noreferrer" target="_blank">集合高频易错点</a>&nbsp;&nbsp;</p><p class="ql-block"><br></p><p class="ql-block">2、<a href="http://mp.weixin.qq.com/s?__biz=Mzg3MzExNzI5Ng==&amp;mid=2247485370&amp;idx=1&amp;sn=9a50aeed9184ce618a3bddc4962b4350&amp;chksm=cee5a4a5f9922db341a892358e6817f0181c8b23f3ffaf9c65c175fee7ade809a1b6ba62d02f&amp;scene=21#wechat_redirect" rel="noopener noreferrer" target="_blank">集合难题精选(一)</a>&nbsp;&nbsp;</p><p class="ql-block"><br></p><p class="ql-block">3、<a href="http://mp.weixin.qq.com/s?__biz=Mzg3MzExNzI5Ng==&amp;mid=2247485431&amp;idx=1&amp;sn=02d9efcd13b5277cbcc44a2b372d9177&amp;chksm=cee5a4e8f9922dfe4fd1a315e4e98aee6c67532c3e4a95e7f238334233b2d83da3aa5e0df79f&amp;scene=21#wechat_redirect" rel="noopener noreferrer" target="_blank">集合新定义问题</a>&nbsp;</p><p class="ql-block"><br></p><p class="ql-block">4、<a href="http://mp.weixin.qq.com/s?__biz=Mzg3MzExNzI5Ng==&amp;mid=2247485335&amp;idx=1&amp;sn=6d0f26a0e17cdad34221986ec5cba360&amp;chksm=cee5a488f9922d9eefd6887007b7b67fdffaa7080d080bfc019886eb4795ad75dc000ec56cdc&amp;scene=21#wechat_redirect" rel="noopener noreferrer" target="_blank">求抽象函数的定义域</a></p><p class="ql-block"><br></p><p class="ql-block">5、<a href="http://mp.weixin.qq.com/s?__biz=Mzg3MzExNzI5Ng==&amp;mid=2247485452&amp;idx=1&amp;sn=d231f15b91511c0cc8918f560e35f0f4&amp;chksm=cee5ab13f992220518481aa0a974cd6cf995d3e68f1dd69ff31bd726590af0388e3fc6ee956f&amp;scene=21#wechat_redirect" rel="noopener noreferrer" target="_blank">多变量的恒成立问题与存在性问题(一)</a></p><p class="ql-block"><br></p><p class="ql-block">6、<a href="http://mp.weixin.qq.com/s?__biz=Mzg3MzExNzI5Ng==&amp;mid=2247485466&amp;idx=1&amp;sn=b2cda088ffcb85cec099e3ab24273927&amp;chksm=cee5ab05f99222137dbe8613508d8a03113f62d56807fdf60e0972b4cec1c9af9d1457d0bd27&amp;scene=21#wechat_redirect" rel="noopener noreferrer" target="_blank">多变量的恒成立问题与存在性问题(二)</a></p><p class="ql-block"><br></p><p class="ql-block">7、<a href="http://mp.weixin.qq.com/s?__biz=Mzg3MzExNzI5Ng==&amp;mid=2247485479&amp;idx=1&amp;sn=b4f5a10eaa3e2d315e8df9eccc3df7bb&amp;chksm=cee5ab38f992222ed2d5ac3b44de6560b593d1b1b34cb4dc85f874f73a1c1c984b58d0dde5f7&amp;scene=21#wechat_redirect" rel="noopener noreferrer" target="_blank">多变量的恒成立问题与存在性问题(三)</a></p><p class="ql-block"><br></p><p class="ql-block">8、<a href="http://mp.weixin.qq.com/s?__biz=Mzg3MzExNzI5Ng==&amp;mid=2247485498&amp;idx=1&amp;sn=c40540e2adf8337ed67a54cfc9f45762&amp;chksm=cee5ab25f992223326ad1fb511395ee072124447abf4f6725e593de273dc5dbc75036cb7ca73&amp;scene=21#wechat_redirect" rel="noopener noreferrer" target="_blank">多变量的恒成立问题与存在性问题(四)</a></p><p class="ql-block"><br></p><p class="ql-block">9、<a href="http://mp.weixin.qq.com/s?__biz=Mzg3MzExNzI5Ng==&amp;mid=2247485515&amp;idx=1&amp;sn=38f046b5cebd3ccf0c680f8b05fae0bd&amp;chksm=cee5ab54f992224294b3f7223b6197f02f51c3058b1dd1eca9d748ca0690cf0009faf6e4b1b5&amp;scene=21#wechat_redirect" rel="noopener noreferrer" target="_blank">“正难则反”----补集思想</a></p><p class="ql-block"><br></p><p class="ql-block">10、<a href="http://mp.weixin.qq.com/s?__biz=Mzg3MzExNzI5Ng==&amp;mid=2247485533&amp;idx=1&amp;sn=7fb0a20bd3c3eba9472c92e8868f0707&amp;chksm=cee5ab42f99222544b1b18b5bb18900b8569b1004402bf6de70c1e0c6f4d61fb36dba3507bcb&amp;scene=21#wechat_redirect" rel="noopener noreferrer" target="_blank">高斯函数</a></p><p class="ql-block"><br></p><p class="ql-block">11、<a href="http://mp.weixin.qq.com/s?__biz=Mzg3MzExNzI5Ng==&amp;mid=2247485548&amp;idx=1&amp;sn=85d59ee3083a09f8824a6c0bd2336ecc&amp;chksm=cee5ab73f992226502691453597f5b64c58c6ad074cad02a2ebc64e3dc8152708784082d1657&amp;scene=21#wechat_redirect" rel="noopener noreferrer" target="_blank">分段函数的单调性问题</a></p><p class="ql-block"><br></p><p class="ql-block">12、<a href="http://mp.weixin.qq.com/s?__biz=Mzg3MzExNzI5Ng==&amp;mid=2247485562&amp;idx=1&amp;sn=8a01fa2f0974256fb36f81d50fe33c47&amp;chksm=cee5ab65f99222734a98ecb0a59296ac4efe681f621b60a563e014feca24411a4a35aa9eacbc&amp;scene=21#wechat_redirect" rel="noopener noreferrer" target="_blank">构造新函数(一)</a></p><p class="ql-block"><br></p><p class="ql-block"><br></p><p class="ql-block">13、<a href="http://mp.weixin.qq.com/s?__biz=Mzg3MzExNzI5Ng==&amp;mid=2247485579&amp;idx=1&amp;sn=d7d28004104058cb4aa578e568dad447&amp;chksm=cee5ab94f992228251f3abad013f082b2ad64198d258a07a705a06034b6f6c1d87104f6d22b5&amp;scene=21#wechat_redirect" rel="noopener noreferrer" target="_blank">成都外国语学校2020-2021高一上学期12月月考 压轴题简析</a></p><p class="ql-block"><br></p><p class="ql-block">14、<a href="http://mp.weixin.qq.com/s?__biz=Mzg3MzExNzI5Ng==&amp;mid=2247485598&amp;idx=1&amp;sn=e89820c6cabded3ceec93a99f16fc416&amp;chksm=cee5ab81f992229756e82d743465aefbd0997b207dcf41771b2829104ccda8d71b166ffb9e45&amp;scene=21#wechat_redirect" rel="noopener noreferrer" target="_blank">构造新函数(二)</a></p><p class="ql-block"><br></p><p class="ql-block"><br></p> <h3>高一上学期主要学习函数,所以大大小小的考试中离不开以函数为背景的题目,所以对一些较复杂且常出现的函数提前学习了解,有助于在解题时,快速得到解题思路与方法。<br></br></h3></br><h3> <h3>简析:利用函数的奇偶性与单调性,化简不等式,然后是一个简单的恒成立问题。</h3></br><h3> <h3>简析:虽然我们已经清楚f(x)为R上的增函数,解答题还是要先证明一下,单调性和奇偶性都研究清楚后,利用两个性质化简已知不等式,参变分离后再利用换元法消根式,解不等式。</h3></br><h3> <h3>简析:利用换元法,将复杂的函数表达式转化为熟悉的二次函数,讨论对称轴与区间的位置关系,得到函数在何处取得最小值。</h3></br><h3> <h3>简析:方程有解问题,在这里通过参变分离,将变量一方构造为新函数,新函数单调性容易判断,从而容易求出值域。</h3></br><h3> <p class="ql-block"><span style="color: rgb(237, 35, 8);">扫描二维码关注公众号!</span></p> <a href="https://mp.weixin.qq.com/s/8vKLC4BJQJ56bPI6En5xOQ" >查看原文</a> 原文转载自微信公众号,著作权归作者所有

函数

简析

高一上

问题

变量

单调

不等式

学期

公众

奇偶性