名校
1 . 定义:对于定义在区间
上的函数,若存在实数
,使得函数在区间
上单调递增(递减),在区间
上单调递减(递增),则称这个函数为单峰函数且称
为最优点.已知定义在区间
上的函数
是以
为最优点的单峰函数,在区间
上选取关于区间的中心
对称的两个试验点
,称使得
较小的试验点
为好点(若相同,就任选其一),另一个称为差点.容易发现,最优点
与好点在差点的同一侧.我们以差点为分界点,把区间
分成两部分,并称好点所在的部分为存优区间,设存优区间为
,再对区间
重复以上操作,可以找到新的存优区间
,同理可依次找到存优区间
,满足
,可使存优区间长度逐步减小.为了方便找到最优点(或者接近最优点),从第二次操作起,将前一次操作中的好点作为本次操作的一个试验点,若每次操作后得到的存优区间长度与操作前区间的长度的比值为同一个常数
,则称这样的操作是“优美的”,得到的每一个存优区间都称为优美存优区间,
称为优美存优区间常数.对区间
进行
次“优美的”操作,最后得到优美存优区间
,令
,我们可任取区间
内的一个实数作为最优点
的近似值,称之为
在区间
上精度为
的“合规近似值”,记作
.已知函数
,函数
.
(1)求证:函数
是单峰函数;
(2)已知
为函数
的最优点,
为函数
的最优点.
(i)求证:
;
(ii)求证:
.
注:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beb94dc04ff686b4e3023ff3f3f0ebb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3819123c00dd8547948fd6a142d23eb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a62461b16d4a05da2cfdd0c9b79a9874.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2f89a8b5cf6996a6455375e405bfb9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ef130ac86847aa71b7dcbb631b60544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ea8f47d8d8d9e1832d52b1c7425450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976f8d8750bfaf95aac23678f0bd926a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976f8d8750bfaf95aac23678f0bd926a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cbba4740e36449b5c76eedd40519cbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9fc0013f0aabb967d8efa25d0e90849.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3449936da13a15ad19bf5c113c04a2f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f556fdf351f94bfb3d7ed2ded23fda93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c34acf1ac6dfe5e76b611e465464344c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f556fdf351f94bfb3d7ed2ded23fda93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82d8e0a088b964419617c5bae4b033bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2acec765e99a3ac8d612a1ad0727c762.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efec0433e7bdec251e52323372a5f0b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f5d19be359b21225331a07e6cf98d41.png)
(1)求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(i)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/538004bbc472e5dbf323325a596a7cf6.png)
(ii)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a9c33cd26d7faec943ffca1fcb449db.png)
注:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a5efb1aa1c4e3f8017ffa6e5025d73.png)
您最近一年使用:0次
2024-04-18更新
|
1241次组卷
|
3卷引用:浙江省宁波市2023-2024学年高三下学期高考模拟考试数学试题
名校
2 . 设全集为
,定义域为
的函数
是关于x的函数“函数组”,当n取
中不同的数值时可以得到不同的函数.例如:定义域为
的函数
,当
时,有
若存在非空集合
满足当且仅当
时,函数
在
上存在零点,则称
是
上的“跳跃函数”.
(1)设
,若函数
是
上的“跳跃函数”,求集合
;
(2)设
,若不存在集合
使
为
上的“跳跃函数”,求所有满足条件的集合
的并集;
(3)设
,
为
上的“跳跃函数”,
.已知
,且对任意正整数n,均有
.
(i)证明:
;
(ii)求实数
的最大值,使得对于任意
,均有
的零点
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52b4f24969673c863b5aff4fb6751ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2425552313d50a253bfb3cb4e9974ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52b4f24969673c863b5aff4fb6751ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5182856db60fa5cfda34c97b5748197a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02670179163cffe5070d209066b7aa12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d18ae300954e363c2637120f4f3ef82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45020afb5156159ad42add5537797ee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b05f8bcb38a5c47e2e8fe9889717fc88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61b4ceef651d43872a078d48092417d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61b4ceef651d43872a078d48092417d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2e77ed55488688257efc354fad8875c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c853fd24a33bd11fbf2d5dba50806d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00108abe0b3ee27e7549f6cc0d86c36f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61b4ceef651d43872a078d48092417d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52b4f24969673c863b5aff4fb6751ce.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02670179163cffe5070d209066b7aa12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61b4ceef651d43872a078d48092417d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3946552f0f9f048a916879402e4d315a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47efc68941a3be03f5bebbabfbe388fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e94f0ab8e7418164e0c7481150e6b5.png)
(i)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d80a81e375bf3c3bdc3603ef7a2a37.png)
(ii)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b05f8bcb38a5c47e2e8fe9889717fc88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61b4ceef651d43872a078d48092417d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9fbab6e1a7963d26e1265e1686cba40.png)
您最近一年使用:0次
解题方法
3 . 已知函数
.
(1)当
时,记函数
的导数为
,求
的值.
(2)当
,
时,证明:
.
(3)当
时,令
,
的图象在
,
处切线的斜率相同,记
的最小值为
,求
的最小值.
(注:
是自然对数的底数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90934b1ff2a111646e561137966e7d68.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b3ec7ada52f4850719a970aeb59ca16.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fb40a36a293471742ce75f6b9635b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b30c8353ba7ab5ea86ad6a61a4904991.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655b06387179d53c1e474fcfcb408b1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/295ebd91bb13967ab3c93c41ab52f33f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d71f015144ffaf1faec94a259b4a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2059b676c30de99085f08db18565a45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1c2ac1ab09ae26a7f90d1d05b0d173c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a90170d7ef5ff6d1d63517c166f7a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a90170d7ef5ff6d1d63517c166f7a9.png)
(注:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11204e2fb6e560bf7a4ca26eaebfc526.png)
您最近一年使用:0次
名校
解题方法
4 . ①在微积分中,求极限有一种重要的数学工具——洛必达法则,法则中有结论:若函数
,
的导函数分别为
,
,且
,则
.
②设
,k是大于1的正整数,若函数
满足:对任意
,均有
成立,且
,则称函数
为区间
上的k阶无穷递降函数.
结合以上两个信息,回答下列问题:
(1)试判断
是否为区间
上的2阶无穷递降函数;
(2)计算:
;
(3)证明:
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22add663bd26e87d972a10dc5fd9ada1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3927e9f1e25bfe84d4d03caa53d80196.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0feda45cb840b1f30f3241998d82e5a3.png)
②设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73e0c1abf0378a7f5d79672f622b275e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e54d86850a733707433da2e423a5c81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bcf8cf6818f8c0c240702a82647f33c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c3e441923ed3c1a32720d6aeac2f599.png)
结合以上两个信息,回答下列问题:
(1)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64d1f6f459292de1002f863203ce91a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fab11f38ab8593932082ec4d9c8c91f.png)
(2)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/981ce8cc1c7639370ea18237a16b0fd8.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a3df4fee05db19d619376c728f14662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5679e31105819b0c67f56f20b4426a3.png)
您最近一年使用:0次
2024-03-21更新
|
1305次组卷
|
5卷引用:浙江省金丽衢十二校2024届高三下学期第二次联考数学试题
浙江省金丽衢十二校2024届高三下学期第二次联考数学试题(已下线)浙江省金丽衢十二校2024届高三下学期第二次联考数学试题变式题16-19(已下线)专题14 洛必达法则的应用【练】福建省厦门市外国语学校2023-2024学年高二下学期4月份阶段性检测数学试题四川省阆中中学校2023-2024学年高二下学期4月期中学习质量检测数学试题
5 . 定义满足
的实数
为函数
的然点.已知
.
(1)证明:对于
,函数
必有然点;
(2)设
为函数
的然点,判断函数
的零点个数并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/477ac2d23b77b49c205952d8cda5a981.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b27dc87cafb7a8d3bed4b4a7e82155a6.png)
(1)证明:对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a7b784381c282fc5f788485316c943c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c19105fc2ee351fdb367614762992929.png)
您最近一年使用:0次
名校
解题方法
6 . 我们把底数和指数同时含有自变量的函数称为幂指函数,其一般形式为
,幂指函数在求导时可以将函数“指数化"再求导.例如,对于幂指函数
,
.
(1)已知
,求曲线
在
处的切线方程;
(2)若
且
,
.研究
的单调性;
(3)已知
均大于0,且
,讨论
和
大小关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/541b679b72673528f0e37bfeb6d1dff0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f46d3504fd4d99c1a9a293a9363256ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52fc4b04f98545b403a28d41c6e109c4.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7395df460e74ac91beeb82f99bf301ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/060e7930731eddbcfac592b808e9b698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b91f5cf5a5fede52e96a0cb5ac079b.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/607ea0d316d84b1ea5e6e735ac29b332.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2958030ec9d7543dda1f529593a915e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a94933201271f9408e70cd2f2182f4a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c632bdc4a2b1c4891d1cf5345571d23.png)
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解题方法
7 . 已知是定义域为
的函数
的导函数,
,
,
,
,则下列说法正确的是( )
A.![]() |
B.![]() ![]() ![]() |
C.存在![]() ![]() |
D.若![]() ![]() |
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名校
8 . 已知两曲线
与
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eae1b87c23b45ce5e5e74d5b1d73234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bcecd1a42a8649900ca701ed512d10a.png)
A.若两曲线只有一个交点,则这个交点的横坐标![]() |
B.若![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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2023-05-22更新
|
766次组卷
|
2卷引用:浙江省精诚联盟2023届高三下学期适应性联考数学试题
9 . 已知过点
可以作曲线
的两条切线,切点分别为
、
,线段
的中点坐标为
,其中
是自然对数的底数.
(1)若
,证明:
;
(2)若
,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bec550c01b4f075f22ab67f5e55ed5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d0755975f77eae028bc83b6f3675818.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b4f86e48e2b0d63c1865c60ed1e4d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a262d480584627cf6692ff7685dd130.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05e84dbb03e8c627ff11d5c7aeb0c8b5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a4eaa80b44625890339d6a0065c241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0679dfbe17ec46921d41391a91d1aec1.png)
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10 . 已知函数
,
,
,
,若
,
,则( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/458cbf06122152fe8d62550c6873faa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976581d4a974fe50f9f29d430c1289f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/597b0c57069df38ed447aec66121a92a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d89ab55ffb93cc48f077b542dbd25aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76742317eb9fc0499d568f857e1d674a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd1a9ccb80aaa1afd5c98d1779b3f00c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-05-05更新
|
1574次组卷
|
10卷引用:浙江省临海、新昌两地2023届高三下学期5月适应性考试(二模)数学试题
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