名校
1 . 已知
在
处取得极小值
.
(1)求
的解析式;
(2)若方程
有且只有一个实数根,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9c2470c624d45fbcc20d18329448c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/354c3a283b2b21cc8ac33995aac20a5c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dade93e54e462e223ef5c85c70f51842.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2 . 已知函数
.
在区间
上的图象,他列出表格,并填入了部分数据,请你帮他把表格填写完整,并在坐标系中画出图象;
(2)已知函数
.
①若函数
的最小正周期为
,求
的单调递增区间;
②若函数
在
上无零点,求
的取值范围(直接写出结论).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb53e14aa7225debe814dc53dfa5cb79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/261f998fc8fcf7da2931205de40cd6d4.png)
![]() | ![]() | ![]() | ![]() | ![]() | |
![]() | 0 | ![]() | ![]() | ![]() | |
![]() | 0 | 2 | 0 | 0 |
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a26e8f4212b5aa220abb86fc00902ef.png)
①若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0211da37e92f915e781691296578ba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
②若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ceecc74c6f1f2bb03d025faa347bf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
您最近一年使用:0次
名校
3 . 设
,曲线
在点
处的切线与
轴相交于点
.
(1)求实数
的值;
(2)若函数
有三个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70a9ee03f6fa95ebd578dbad3a9ae9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59f2be8f1e796226f1b0fa95f6aea35d.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f81432e58c6a5030be2c5d73183b4176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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4 . 已知
的最小正周期为
,
(1)求
的值;
(2)若
在
上恰有
个极值点和
个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6860740e5b0ae41e1f74ddf51a10656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ff2c63586f5ca0a0bec4ec2a3883b51.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0883a142ae4d2002e32e355520c0d1a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2832f82fdeafa819c92ca5c1e74eb5ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-06-08更新
|
421次组卷
|
2卷引用:浙江省温州市十校联合体2023-2024学年高二下学期期中联考数学试题
5 . 已知函数
.
(1)求曲线
在点
处的切线方程;
(2)若方程
有3个不同的根,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5030ca64249733a922c17d0a589862.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce90064385c4633056784c1ae375a2d5.png)
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名校
6 . 已知函数
,其中
,且函数
的最大值为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92be82894508d5fd942f8933e736b728.png)
(1)求实数
的值;
(2)若函数
有两个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/809d649d9ccf56f3b399057e9268d0bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92be82894508d5fd942f8933e736b728.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce4cd9ecca0f02b5fad798c61ed9f07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
2024-06-03更新
|
794次组卷
|
4卷引用:甘肃省兰州市第二中学志果班2023-2024学年高二下学期期中考试数学试题
甘肃省兰州市第二中学志果班2023-2024学年高二下学期期中考试数学试题海南省海口市农垦中学2023-2024学年高二下学期期中考试数学试题(已下线)5.3.2函数的极值与最大(小)值(3)(已下线)5.3.2函数的极值与最大(小)值(2)
7 . 对于函数
,
,如果存在实数
,
,
使得
,那么称函数
为
的“重组函数”
(1)已知
,
,是否存在实数
,
,
使得
是
的重组函数?若存在,求出
,
,
;若不存在,试说明理由.
(2)当
,
时,求
的重组函数
的值域.
(3)当
,
时,
的重组函数
有唯一的零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb7426629cdc261fff37b8e9911a5fc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ab5ad1fe0e845cd3d5ce344c3c7026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f58b0ad687035ad3e0f00b10429065d2.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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.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/071a7e733d466949ac935b4b8ee8d183.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2725ba7714055705d5b7bf0fb8c72d5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36761d980b7b57c4b1840740529b1e32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4551fc4199b2bf3e0370e9b5633eb3ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36761d980b7b57c4b1840740529b1e32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
8 . 已知函数
.
(1)若
,
的最小值为
,求
的对称中心;
(2)已知
,函数
图象向右平移
个单位得到函数
的图象,若函数
在
(
且
)上恰好有12个零点,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/158b19e4e794c6eb7a00174dcd087a88.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c4020b17f7ad2d5f179b3f6b01898e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad4e94463a0f22990789c5494916e844.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c404ebac6d321a29190c57b1c9c55ce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d26927f1f0be044942dfce30c3607158.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7961cbe98aac6a5fdee94582c341b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da75a02173c2a5eb40f4c68d0f4f36.png)
您最近一年使用:0次
名校
9 . 已知向量
,
,函数
,
.
(1)若
,求
的值;
(2)用
表示
,若
时,
的最小值为
,求实数
的值;
(3)设
为正整数,函数
在区间
上恰有2024个零点,请求出所有满足条件的
的值及相应
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24de0eae5db745b9e0f51963973e961d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ae2a23e9e7ae7db55c3e114f2eba19f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e95435f474caf8511be2679d1b8476.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b87f4ef298bdeebf59a0d850aff72c.png)
(2)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93af88a7628c71d642d3a6df067c15f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46bb700769d578c7ed2b6a650400b926.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c07c496500d66cbd74e1070e1c7c1d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
10 . 已知函数
.
(1)若
,函数
为偶函数,求
的最小值;
(2)若
在
上恰有4个零点,求
的取值范围;
(3)若不等式
对任意的
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92ce84a967e8452d2178bfb64e66e9b7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745c26a80e067bd3ba43d8a038afe50d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc36dc63713541d6317579dcf63f494f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dfe024e3e7190544c823fd312ece0f1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77e039a9d305af23cc7ec7c091e1c630.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1eee23d00e338805d4306186b9dd0a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cba49e9b24a7dd4050e302c86d014b74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681dcdf161ec273e48357c528c1a850d.png)
您最近一年使用:0次