解题方法
1 . 设函数
给出下列四个结论:
①当
时,函数
在
上单调递减;
②若函数
有且仅有两个零点,则
;
③当
时,若存在实数
,使得
,则
的取值范围为
;
④已知点
,函数
的图象上存在两点
,
关于坐标原点
的对称点也在函数
的图象上.若
,则
.
其中所有正确结论的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c437a9cdcfffee24733cd801b35ff78c.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2372f424431ce7b547a66b7d61d75421.png)
②若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4c78214e43a8b93f2a57072033cbcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aba934874cc9f2ab272fdff67ea23bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a13880b9454c5942f164d934b1834783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189b2da6c420bf8f8900002d14f65f72.png)
④已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58d85b7336be0bb73ee4a9e70e8b81c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5efaf6b11e250d60433fa93fff030cac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/357e0872d9e98d662a780e7686de86ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c383ed4a2da9ff11a6b284b882b6cae7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
其中所有正确结论的序号是
您最近一年使用:0次
2024高三下·北京·专题练习
解题方法
2 . 设函数
,函数
.则下列说法正确的有____
①.当
时,函数
有3个零点 ②.当
时,函数
只有1个零点
③.当
时,函数
有5个零点 ④.存在实数
,使得函数
没有零点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee5082bc7546d2327aeb79ed9fb0203d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/541ca543427de0dafb2c1a1254f277d3.png)
①.当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
③.当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/293d639e67df2da17966a567db2656e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
您最近一年使用:0次
2024高三下·北京·专题练习
解题方法
3 . 已知函数
,则下列说法正确的有_______________
①.
的单调减区间为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77eb16f9707bcfaa5230d32ac7494ddc.png)
②.若
有三个不同实数根
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c30aef5126a03682afce26e0135d0d9.png)
③.若
恒成立,则实数
的取值范围是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b6a5f28db1e6005c45b1acc9c53b730.png)
④.对任意的
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
,不等式
恒成立
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1c659985e45ef900e6878b66a55a92a.png)
①.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77eb16f9707bcfaa5230d32ac7494ddc.png)
②.若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce90064385c4633056784c1ae375a2d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c30aef5126a03682afce26e0135d0d9.png)
③.若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7a54ead79841d64b18c5ea1a09ae4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b6a5f28db1e6005c45b1acc9c53b730.png)
④.对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eea38b035412ba24495d42dde3ea859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063223b5d1fc1b45ad67c449b330a064.png)
您最近一年使用:0次
2024高三·北京·专题练习
4 . 已知函数
,则下列说法正确的有________ .
①函数
的值域为
;
②方程
有两个不等的实数解;
③不等式
的解集为
;
④关于
的方程
的解的个数可能为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4631d2c8bc7dfbc9646b98430556152a.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ca5e984d5e14b4be18a5ee99f80a4f.png)
②方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0a73db674d29eae8f8921eff5944983.png)
③不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76eb0cc201c45f1abf7a3c0f21253811.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f3979b42d7d6cdb7a54d00ba41b92a0.png)
④关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ad7cd0c02bb7220641b9729bac2168.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29376026a31f34b0b418c93d86785872.png)
您最近一年使用:0次
5 . 设函数
(
且
).给出下列四个结论:
①当
时,方程
有唯一解;
②当
时,方程
有三个解;
③对任意实数a(
且
),
的值域为
;
④存在实数a,使得
在区间
上单调递增;
其中所有正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edf1a29518ba7fb41a351ae69ce43c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c342d52fc26cc550a45b80756903bee6.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e436ea3ddcd13e69171135f0ff8e934a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c342d52fc26cc550a45b80756903bee6.png)
③对任意实数a(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe86cace140f2c3588ab115837bbfc9e.png)
④存在实数a,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
其中所有正确结论的序号是
您最近一年使用:0次
23-24高三上·北京·期中
名校
6 . 已知
,若实数
,则
在区间
上的最大值的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b62271358df0edc9a22635e3fafecc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ae16b8d4ca61fc29075c6e6968255bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf0e0cb1af4509966c57b99fe1d6ad7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c91b3592e2dce9cc8639ca9d30e12bf5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
7 . 已知函数
.若存在
,对于任意的
,
,则a的一个取值可以是______ ;满足条件的a值共有______ 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8afc17028d1394d4520540aaea9f85a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51159984b2cb00f30b3986315019623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533399d365ace8a627f7c81d10d83a53.png)
您最近一年使用:0次
名校
解题方法
8 . 设
,函数
,给出下列四个结论:
①当
时,
在
上单调递增;
②当
时,
存在最大值;
③设
,
,则
;
④若
,
的函数图象有三个公共点,则a的取值范围是
.
其中所有正确结论的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ca51a3b757ecb5fb52b7477df429565.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2edd8edcb21bd41584daf9bb95a5c7.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ede78fd7ac619ea597856254bb5d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89c8843d87de0eef59bdca6fe1b65f17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77b74abf1169fec00154c184f59b0e35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55267a7fadc62900f726481d0ccff808.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f1d8d5cea065075fe50706abe3ae802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
其中所有正确结论的序号是
您最近一年使用:0次
解题方法
9 . 若函数
有且仅有两个零点,则实数
的范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b1a948d8279fccbb64227c467dab1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-07-19更新
|
946次组卷
|
3卷引用:北京市西城区2022-2023学年高二下学期期末考试数学试题
10 . 已知函数
,当
时,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/253a1f84cbb9f46097db4a4d309e7a8a.png)
______ ;若函数
有三个零点,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dab1b114cf60480cd4a34648a63960d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/253a1f84cbb9f46097db4a4d309e7a8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0384a0466920e5bf00231a5c5bf77969.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次