1 . 如图,在三棱锥P-ABC中,PA⊥底面ABC,AC⊥BC,H为PC的中点,M为AH的中点,
.
;
(2)求点C到平面ABH的距离;
(3)在线段PB上是否存在点N,使MN
平面ABC?若存在,求出
的值,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/285b594b5048a819d5870a7569abd1ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4744b427f036dfbc6db68c87cd5c54.png)
(2)求点C到平面ABH的距离;
(3)在线段PB上是否存在点N,使MN
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a222d418f0ace4c4cd33e1d3624facc0.png)
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2 . 已知函数
.
(1)求
的单调递增区间;
(2)求
在区间
上的最小值及此时x的取值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9a528178d3a826d4587874743178bae.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e4b97703638756a4051a3dd0cdcf5a6.png)
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解题方法
3 . 已知
中,角A,B,C的对边分别为a,b,c,
,
.
,求
的值;
(2)过点B作BC的垂线l,D为l上一点.
①若
,
,求线段AD的长;
②若
且D点在
外部,求线段AD长的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acb7a6885bd1c82fe831172732e056db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8120119749d4bc28067e73fca7d46cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cfcf0758cc82e10edb355fc7599692a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5336bc8649d12e131786a5bcd26341f4.png)
(2)过点B作BC的垂线l,D为l上一点.
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1b0a85610ed7cfadf817349d3fceeb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b71812e0762c0aaffb51cfef66156567.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0c2c31518f8cdaa4ed19854d104956.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
7日内更新
|
170次组卷
|
2卷引用:四川省眉山市彭山区第一中学2023-2024学年高一下学期5月月考数学试题
解题方法
4 . 如图,已知四棱锥
中,底面
是平行四边形,
为侧棱
的中点.
平面
;
(2)设平面
平面
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2bc5e50b8dfa02601c70822252854a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9428c4a6a25d360a036aaf0a92e40988.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/466fabcaac59132fea648ff35342ec9d.png)
(2)设平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210dbaa21f2f54fe6045e9961731b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fde7cfb1172e9d79b89f8ec18f1e767.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a24caeb80a748bcbc9dc33cd430a5aca.png)
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解题方法
5 . 在
中,角
所对的边分别为
,且
.
(1)求角
的大小;
(2)若
,
①求
的值:
②求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82c3a3ad9af3e7d348f8c01cb9cf1227.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8b2d81ad93f3e6df093084e09b1547.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20cda097a4e7c41100e573d8304ee066.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97b7bbf971d834fb2378c65ba34e6ae3.png)
您最近一年使用:0次
2024-06-13更新
|
1199次组卷
|
3卷引用:四川省眉山市彭山区第一中学2023-2024学年高一下学期5月月考数学试题
名校
解题方法
6 . 记
的内角
的对边分别为
,已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c32540dd35e216215b44ce3e03d8368.png)
(1)试判断
的形状;
(2)若
,求
周长的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c32540dd35e216215b44ce3e03d8368.png)
(1)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2024-06-11更新
|
1963次组卷
|
5卷引用:四川省仁寿第一中学校(北校区)2023-2024学年高一下学期5月期中质量检测数学试题
名校
7 .
.
(1)
,求
的解析式;
(2)
,求
的单调区间及最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f72ddb1c4a56cec860a36b7254ddf41.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e85977befeeb7cc603dac5c88a30a7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1ba6b6ee00c4b2763cb3fa59caa69f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e85977befeeb7cc603dac5c88a30a7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1ba6b6ee00c4b2763cb3fa59caa69f.png)
您最近一年使用:0次
8 . 已知函数
.
(1)求函数
的最小正周期和对称中心;
(2)求函数
的单调递减区间;
(3)当
时,求函数
的最值及此时x的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/816b60d5034f6899b30aeab1e51ecdfe.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c80bcc68cc12a16561614c9e986b2a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
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解题方法
9 . 已知向量
,
,
.
(1)求
的值;
(2)若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3603c0cffb79ec546ff1806beec5dbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56da7f70a5b65ee299a00611b3c3e157.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac4f0bbabd4127a9b1f08c93368e3ff.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbb006ea697b63a914eb487073f0abe1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5479abb20811298d5592e34f1348c587.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/175c73225fb453814c489638d6ef33bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8f798a9af75a091a8be0b71f2038260.png)
您最近一年使用:0次
2024-05-20更新
|
620次组卷
|
2卷引用:四川省仁寿第一中学校南校区2023-2024学年高一下学期5月月考数学试题
解题方法
10 . (1)已知
是第四象限角,
是第二象限角,求
的值.
(2)已知
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67570915ef2606b9e3847c6786aa647d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f1d157e9f7ee676cdd9e701353fdb92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9343d496e986a64c44a39507b3a23f4c.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3441ef504027c72eac8e795ae33be66b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8dedd451002f159c932ab1df490639c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63fe57d4fbae536de2e641d9d349fcf1.png)
您最近一年使用:0次