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1 . 两个函数
在公共定义域上恒有
,则称这两个函数是该区间上的“同步函数”.
(1)试判断
与
是否为公共定义域上的“同步函数”?
(2)已知函数
与
是公共区域上的“同步函数”,求实数
的取值范围;
(3)已知
与
在
上是“同步函数”,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7389d52e6aad9c9c0fb7d9b820bdb86c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27c7f82af113d582d26cf9f1d908eef.png)
(1)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84ca25c6e5b8145f233803f0c1f334ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b85783f003658f5b25551a155e95bff5.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/314f0192b0e819d9c68fb4d1bd4f6898.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46aef973932a97753331db45349693cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52d0e38261407993e21de6156125fbc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5642b5ca08cb6d2ef742debbbc49571c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a96119cc3005adf559140161bd872143.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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18-19高三上·上海浦东新·阶段练习
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2 . 已知
,
.
(1)若直线
与圆
:
相切,求
被圆
:
所截得弦长取最小值时直线
的斜率;
(2)
时,
:
表示圆,问是否存在一条直线
,使得它和所有的圆
都没有公共点?如果存在,求出直线
,若不存在,说明理由;
(3)若满足不等式
和等式
的点集是一条线段,求
取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26ed12cb5a1ec347897ca9d152ce8c8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c5e5c456257df9ecf2dd8c903f033ff.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8b657b79c215be501b9577e96ff6d0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de6325118467658684d0d8d4b2941534.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c87f4c40e50504adaface510404dbfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/963080e1603beebf5f07ad5cc1d33ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4a18c013ff8e2ac81169f64618ddb69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/963080e1603beebf5f07ad5cc1d33ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(3)若满足不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5a263196692586680af1642b4d5dcd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83a0bb7efca072908aab035cccab67a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
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3 . 上海自贸区某种进口产品的关税税率为
,其市场价格
(单位:千元,
与市场供应量
(单位:万件)之间近似满足关系式:
.
(1)请将
表示为关于
的函数,并根据下列条件计算:若市场价格为7千元,则市场供应量约为2万件.试确定
的值;
(2)当
时,经调查,市场需求量
(单位:万件)与市场价格
近似满足关系式:
.为保证市场供应量不低于市场需求量,试求市场价格
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f4537d9e869e5bba2d7dcc683a0f73e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37d881582504122011c03281b94d7b8d.png)
(1)请将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/209f628619c849207905b3d2bd3f07b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da9cdfa3df1070231174706ec3cb15ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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2019-11-10更新
|
353次组卷
|
2卷引用:上海市七宝中学2018-2019学年高一上学期12月月考数学试题
17-18高三上·上海浦东新·开学考试
名校
4 . 已知集合
(
,且
),若存在非空集合
,使得
,且
,并任意
,都有
,则称集合S具有性质P,
称为集合S的P子集.
(1)当
时,试说明集合S具有性质P,并写出相应的P子集
;
(2)若集合S具有性质P,集合T是集合S的一个P子集,设
,求证:任意
,
,都有
;
(3)求证:对任意正整数
,集合S具有性质P.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ee3cc5ccfc1e9dcb9c026218ec0769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfd0e04ab752f9bdc8a10163d03b5d19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb30a4971a1425f4baaca444c8b3fc50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797768739c2895f4783692ef9f3fe7b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d3ce7fd72f60d2c33c34e5c9874a6f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b77968e4f3b7ded188a406e64eba0a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6bb23b2561e5ba95d0a1e6b8f236696.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc2d3df37e73a8abea815f37dbb3fff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3637753af5ce86be9c23a9beb6b5067.png)
(2)若集合S具有性质P,集合T是集合S的一个P子集,设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/053d688fc713969c0b2c1ff5c6537a3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e709e085424c3de36b6dd5ceff6f37f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b21208364124b5c477b2ff8df1c2e8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/578d5f1593e60907e632159ea32001e7.png)
(3)求证:对任意正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
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5 . 定义符号函数
,已知函数
.
(1)已知
,求实数
的取值集合;
(2)当
时,
在区间
上有唯一零点,求
的取值集合;
(3)已知
在
上的最小值为
,求正实数
的取值集合;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5c2d1baba26d5f563cf7a5b0123cea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0bf9964389e33727ad1e219b8f3a787.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e48ffaaa7f1e3f715f8da7f246e2829.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab6b28c29a9e823cf1d6c764323d7e15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccc8350b12974ffc8d06fce36d158f02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74156327e5659301f391814605688899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-01-15更新
|
930次组卷
|
6卷引用:上海市华东师范大学第二附属中学2017-2018学年高三上学期10月月考数学试题
(已下线)上海市华东师范大学第二附属中学2017-2018学年高三上学期10月月考数学试题上海市2022届高三模拟卷(一)数学试题(已下线)第11讲:第二章 函数与基本初等函数(测)(提高卷)-2023年高考数学一轮复习讲练测(新教材新高考)山东省枣庄市第三中学2022-2023学年高三上学期开学考试数学试题山东省枣庄市第三中学2022-2023学年高三上学期9月质量检测考试数学试题(已下线)专题02 函数的概念与性质必考题型分类训练-3
名校
6 . 已知函数
,
的图像为曲线
,两端点
、
,点
为线段
上一点,其中
,
,
,点
、
均在曲线
上,且点
的横坐标等于
,点
的纵坐标为
.
(1)设
,
,
,求点
、
的坐标;
(2)设
,
,求
的面积的最大值及相应
的值;
(3)设
,
,求证:点
始终在
点的上方.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70128385b9ab66ac44614af35a0dcdce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8e7d2793aae43b9046be12e0beb2601.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195ffbc61cf4f6c94ce7cfa04ade5731.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3511cdc6a9b56bc1d9415d3d94ef0f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/162218e8dc01099b763419d62505f8ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15558c0bfd6470891ded7d510ad5ec0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be362dec96173f246ff747264007817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8112f9185c7d48b015d9cd0525616b31.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b923078510697d5f7f9ea392eb76dd9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b7ac53864708d223fc6bafc74fb6340.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdfec4233214c3a729c843dee0d186db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ede389b43c78417912542746d91d00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e9cc87ac1bf9ce0c9160a95d249d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/985b383be47791e0409e542225982299.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4cd02b69b76000f9b9826d9929a324.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70128385b9ab66ac44614af35a0dcdce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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2020-01-15更新
|
125次组卷
|
2卷引用:上海市南洋模范中学2017-2018学年高三上学期期中数学试题
名校
7 . 已知数列
:
,
,
,
(
),与数列
:
,
,
,
,
(
),记
.
(1)若
,求
的值;
(2)求
的表达式;
(3)已知
,且存在正整数
,使得在
中有4项为100,求
的值,并指出哪4项为100.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a845e3442d04b024fc5645e364436e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194f644d156cfa364378e6cb1796073b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f21c4ccfd9eedc8a68499843e255004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d28fc397ca5e79e5a9e5d7aeba25725d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004c1df7814646f1c2d0243759d14511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bb85b9cc92f8407f658b510e21b1fac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e5a9ac8bc15b674e6301c17aa09d960.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d12967e586774dedeb0bcb30939a994.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a29f23b3b5ea592bb7b99c2828b7ebc0.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ba6b6aa6c3f9faba6b03bc193a6e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88abc4ce6f29684af93807ff4c9f13bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
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8 . 已知函数
,
表示函数
的
次迭代函数,
,
.
(1)若
,求
,
,
,
;
(2)若存在正整数
,使得对于任意的正整数
,均有
成立,则称函数
是
次迭代周期函数,正整数
为函数
的选代周期.
①若
,求
的选代周期;
②若
,判别
是否为选代周期函数.若是,求出选代周期:若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61b4ceef651d43872a078d48092417d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8444e8a4d2ee0336e3c7040a244559a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9ab7bb40f58f28c9799b20f91d15d33.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/465c1b181a5d0d2f849340d279f3eb23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6ace630100e64ed290d82936ad249c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb45ae06dce0e43af5880372dba8f75f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90664c5348fe2b7bee404082bb600bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85064b9b9d3dc10053d1744816aec41f.png)
(2)若存在正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/522855321373f7753c08412c8075121b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a35ea4e971f9e6931e8b399d77c7bca3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81f7681612ac05aaa0b7de4b9b1879db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e49794721f5504dd828acf49be37ff42.png)
您最近一年使用:0次
2019-04-28更新
|
379次组卷
|
2卷引用:【全国百强校】北京市中国人民大学附属中学2018-2019学年高一上学期期中考试数学试题2
名校
9 . 对定义在
上的函数
和常数
,
,若
恒成立,则称
为函数
的一个“凯森数对”.
(1)若
是
的一个“凯森数对”,且
,求
;
(2)已知函数
与
的定义域都为
,问它们是否存在“凯森数对”?分别给出判断并说明理由;
(3)若
是
的一个“凯森数对”,且当
时,
,求
在区间
上的不动点个数(函数
的不动点即为方程
的解).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7dcdd87d593df4a5c5e98d47fe1cfa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfaa358d99c083079bdc9e2e7495cbcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29343388ca8b33dc98325e65382b38a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e27c24244b1fdbf1455087c2ebf41c8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689644cb85f0b04cc7fb910b10648d4b.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8692c8a6bf3b5bfa2fcf2fb7e2480ffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32a611a34cd92e1488016fc0e62052d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7dcdd87d593df4a5c5e98d47fe1cfa6.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8a0cc6504aa4c3a38006f5394b4c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edc0e849b72357de1cdf719a7ed5f1bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a20d6714b0b3b55d19f51b362d593c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84a7a4a037a4dfe973f1eb683d93d799.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a18ca67c2770b98f36dbfd802595a95.png)
您最近一年使用:0次
名校
10 . 如图①,在
中,
,
的中点为
,点
在
的延长线上,且
.固定边
,在平面内移动顶点
,使得圆
分别与边
,
的延长线相切,并始终与
的延长线相切于点
,记顶点
的轨迹为曲线
.以
所在直线为
轴,
为坐标原点建立平面直角坐标系,如图②所示.
![](https://img.xkw.com/dksih/QBM/2019/4/6/2176601362980864/2177483199225856/STEM/264360b8833b4b74a062121be7f4d663.png?resizew=416)
(1)求曲线
的方程;
(2)过点
的直线
与曲线
交于不同的两点
,
,直线
,
分别交曲线
于点
,
,设
,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5a64bcb77f5f64e4af6930c249a270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e587052c0d8acafdd36fd4313b866d76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://img.xkw.com/dksih/QBM/2019/4/6/2176601362980864/2177483199225856/STEM/264360b8833b4b74a062121be7f4d663.png?resizew=416)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37265a2c5a6db6e7571f16286aaed83e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4db9b82b67efe45a02fca32bfcf5dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44172d85b47b3626f565bad190d5553c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e142f0077593abe5c6997cbaf4cdab0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e775699a74ed1f71e8e2e79cadf4fe6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
您最近一年使用:0次
2019-04-07更新
|
843次组卷
|
3卷引用:【校级联考】湖南师范大学附属中学2019届高三上学期月考(五)数学(理)试题
【校级联考】湖南师范大学附属中学2019届高三上学期月考(五)数学(理)试题(已下线)【全国百强校】河北省衡水中学2019届高三下学期一调考试理科数学试题河北省衡水中学2019届高三下学期一调数学(理)试题