名校
解题方法
1 . (1)求
的值;
(2)已知
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a490c4516e8cdaeed7512a81dac6c18d.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51474d91e540a475138571e8738de850.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385a246620852dd223a4bb53fc9253ff.png)
您最近一年使用:0次
2024-05-06更新
|
264次组卷
|
3卷引用:江西省抚州市金溪县第一中学等校2023-2024学年高一下学期期中考试数学试卷
名校
2 . 已知
,
是平面内两个不共线的单位向量,
,
,
,
是该平面内的点,其中
,
,
,
,
,
三点共线.
(1)求
的值;
(2)若
,求
,
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a92e6eba8dab638fd66831cd3a0b6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427fa45527d0ce469bfd060bf6f991f3.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39333ce34f02476ca93d0d4f7befb4f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b74f290db7c41ce6623f4821ee03ed13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ebf10ea9424d90dd303ab6806944f03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8bb2cfab29b2e0af0da343f49b67f25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a92e6eba8dab638fd66831cd3a0b6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427fa45527d0ce469bfd060bf6f991f3.png)
您最近一年使用:0次
2024-05-06更新
|
168次组卷
|
4卷引用:江西省抚州市金溪县第一中学等校2023-2024学年高一下学期期中考试数学试卷
名校
解题方法
3 . 函数
的部分图像如图所示.
的解析式;
(2)函数
的图像与直线
恰有三个公共点,记三个公共点的横坐标分别为
且
,求
的值
(3)函数
,对
,是否存在唯一实数
,使得
成立,若存在,求
范围,若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8958a4b164d0c948463dbe9493f3b2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00368211276ca8bda606eed899e10a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41a5ff72ba4e9d01ecf0c0fe07a48058.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/223d84596c6ac8590c6d8040cd1117cc.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d1a9ae1879a6e0a877f5419816f23d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81a6035f5c7c7e868d869de2e430487d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c369dd8e64a5838ddd17993bea5510be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99e1ce7071be0743ded4a087fd908eb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
4 . 已知函数 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea6f3878d070793e59aca4ea04bc7721.png)
在区间
上的最大值为3.
(1)求A的值并解不等式
;
(2)将函数
图象上所有的点向下平移1个单位长度,再向右平移
个单位长度,得到函数
的图象,若
,且
求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea6f3878d070793e59aca4ea04bc7721.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d37c35a8ae5caef9c99712e789cd3c10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e202311386b920f5b269ae0fda0c4fe.png)
(1)求A的值并解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94cc25a7cf28ed096549fbae97fce40a.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e01809470db997330f904486a4078cfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b312036dd843e9ee62d08bfd14936f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eebb6b1d1bda9fc97bd8860513dbccc2.png)
您最近一年使用:0次
名校
5 . 已知函数
的图象经过
,
,且
的最小值是
.
(1)求
的单调递减区间;
(2)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10f0f53ce838871f4ba8fb56a945cf75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4934f22907fdb7539b81908cdaaad32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13ac2dfd3d9e8fa534775fd633ec0362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6abf3f9b0ebcdc47a028c781b7edb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94cc25a7cf28ed096549fbae97fce40a.png)
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名校
6 . 已知向量
的夹角为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070146b72ba261284f7196d223eb1243.png)
(1)求
;
(2)
在
上的投影数量;
(3)若
与
的夹角为钝角,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070146b72ba261284f7196d223eb1243.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ffc028b08764450cd09c90aa6ae7cfa.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a06c8eae3652486cf9e416ce3a8ffc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a097c61adc353530dbffba673df62c45.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad7ef1058ce7a48b534d1452ec1a7111.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a06c8eae3652486cf9e416ce3a8ffc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
解题方法
7 . 若定义在D上的函数
满足:对任意
,存在常数
,都有
成立,则称
是D上的有界函数,其中
称为函数
的上界,最小的M称为函数
的上确界.
(1)求函数
的上确界;
(2)已知函数
,
,证明:2为函数
的一个上界;
(3)已知函数
,
,若3为
的上界,求实数
的取值范围.
参考数据:
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2480f87a11c4cd450bc9454ea7276722.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aea232de27d21a2646fd4520ea0726bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a920c2d27134a9c514f82bf464aed4ee.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/066737c8b5ab483d0e853124de99429e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c72bd2c5317e503a513881970a9badf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc03b242716eaa6ee3bef9061a63ce6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4cbc7b067862a3d9c6789b392fc068.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9405361d7be3c9e4d462a4e955d8fe3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7c0309456de2cd6420ece4fbc5eeddb.png)
您最近一年使用:0次
2024-04-30更新
|
222次组卷
|
5卷引用:江西省抚州市金溪县第一中学等校2023-2024学年高一下学期期中考试数学试卷
8 . 已知函数
的部分图象如图所示.
的解析式.
(2)当
时,关于
的方程
有两个不同的实根
,且
.
①求
的取值范围;
②求函数
的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c0f153e044199055eec43c5226c5241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd65d7c5e979706d391163aee2c18cb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
②求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ed07a76ec8ea66b7fdb8088098ca9ec.png)
您最近一年使用:0次
2024-04-26更新
|
269次组卷
|
3卷引用:江西省部分学校2023-2024学年高一下学期4月期中考试数学试题
江西省部分学校2023-2024学年高一下学期4月期中考试数学试题(已下线)高一下期末考前押题卷02-期末考点大串讲(人教B版2019)河南省驻马店市新蔡县第一高级中学2023-2024学年高一下学期6月月考数学试题
名校
解题方法
9 . 在
中,点
,
分别在边
,
上,且
,
,
是
,
的交点.设
,
.
(1)用
,
表示
,
;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/1887d15227ea219c9ccef084be750a9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d69035a9c0bc4ddc83d0cc12c25a9246.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3adc4ed291596abf3bb93ae7a075d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc03a3ba496faee748a8d63e5d4fa92.png)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304a7f07db2ec637baadf8f0ab91c85c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f33a112e9728d7b560199765c815f69.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24dd56815fef4be105ba823a6caf1a15.png)
您最近一年使用:0次
2024-04-26更新
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210次组卷
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2卷引用:江西省部分学校2023-2024学年高一下学期4月期中考试数学试题
10 . 已知点
在角
的终边上,点
在角
的终边上,
.
(1)求
的解析式;
(2)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e14bb4ae223d1c251c33daca9649824.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b4b30d216eb3970f44b8cd66e4a131e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b9d1b5b76018dc94976d217e5fa97bf.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/174dfd19dcca199699a46aea1102cce6.png)
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