1 . 已知函数
,求:
(1)函数
的图象在点
处的切线方程;
(2)函数
在
上的最大值与最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27dedb9915097bbcd7be1801c18549bf.png)
(1)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c4f0bdd5a9a566ca942674a84337bb.png)
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2 . (1)化简下列各式:
①
;
②
.
(2)已知向量
,
,
与
的夹角为
.
①求
;
②求
.
(3)已知向量
,
.
①求
;
②若
,求实数
的值.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4074b93ead6f32e784576801e5193c00.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4bb22718194f581c971f54e7bc2e77a.png)
(2)已知向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29276b43a2950ed71f0f9629a35dfa74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2396cac4b185cf1f1a67dad9248481c.png)
![](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/ac1a63ab608517bb10aa036783dfb51f.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854e16eb319ee454088f5b527cf6c4d5.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93af88a7628c71d642d3a6df067c15f5.png)
(3)已知向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5463fb0b7d03747aa4d680620ca81be2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aabefecd4de8455e21919d34005588f.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e6f98f23fea7db0f74897928024ca0.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25d209e529faa74004ca556cf3d6b321.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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3 . 计算:(用数字作答)
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/403d128ea029ebbe0f61eea8874a5f43.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be0b51445e7a6725b06ffb0654ba77f7.png)
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解题方法
4 . 已知复数
,
(i为虚数单位).
(1)当
时,求复数
的值;
(2)若复数z在复平面内对应的点位于第三象限,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cf91e13e32d8577de4be416e4e797ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c24ecf9e59082e563372b12981d03fe.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf249b929f874c50db38f178cda273ce.png)
(2)若复数z在复平面内对应的点位于第三象限,求m的取值范围.
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2024-04-19更新
|
231次组卷
|
2卷引用:新疆图木舒克市新疆兵团第三师图木舒克市鸿德实验学校2023-2024学年高一下学期期中考试数学试卷
5 . 已知
.
(1)化简
;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52d00309d02dba1fde50acc804c82062.png)
(1)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f280aa9106f8983fa107da81a2ce1bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf146d7fa3f437fa05b0be0a6ad44b6.png)
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2024-02-04更新
|
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3卷引用:新疆图木舒克市新疆兵团第三师图木舒克市鸿德实验学校2023-2024学年高一下学期期中考试数学试卷
名校
6 . 已知四棱锥的底面
为等腰梯形,
,
,
,
平面
.
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4710f75c66f19825a3e44b48f78bbac.png)
(2)若四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b60870baa5e3fbc33a749aa5f0a94be.png)
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2023-11-12更新
|
1831次组卷
|
6卷引用:新疆维吾尔自治区石河子市第一中学2023-2024学年高二上学期12月月考数学试题
名校
解题方法
7 . (1)已知等差数列
的前
项和为
,且满足
,
.求数列
的通项公式;
(2)已知数列
满足
,
,求通项公式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd50188a38a7cf05e21dd99ef3bae699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5731f65834e58bb01c8d21a695e395ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/352d9b76dcf639368fa68cae70149802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2308ce36b476e04572b38fca5da64fa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
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名校
解题方法
8 . 已知圆
的圆心在直线
上且与y轴相切于点
.
(1)求圆
的标准方程;
(2)若直线l过点
且被圆
截得的弦长为
,求直线l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3071967ccc13a2021d73b84a3cb61744.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e40759f3a17215dbc1acf5c307e86542.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线l过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fe413b12ffabfb252121aa2eaa31017.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b91d650c2fc1a741fabdb333b09aeb6.png)
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2023-12-06更新
|
529次组卷
|
3卷引用:新疆维吾尔自治区石河子市第一中学2023-2024学年高二上学期12月月考数学试题
名校
9 . 已知函数
,且曲线
在点
处的切线l与直线
相互垂直.
(1)求l的方程;
(2)求
的极值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a551216f6cb0b0157d140720d42473aa.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/60d62d17b70bbec6f7ba07bc3cdcf1cc.png)
(1)求l的方程;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2023-11-28更新
|
1080次组卷
|
3卷引用:新疆石河子市第一中学2024届高三上学期11月月考数学试题
名校
10 . 已知函数
,
.
(1)当
时,求函数
的零点;
(2)当
时,若
时,关于
的方程
有解,求实数m的取值范围;
(3)当
时,求关于x的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/650f1997d6848622400a2c03f98e0400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/998485ffeb46a0412ff1a0f814429257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
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2023-11-13更新
|
457次组卷
|
2卷引用:新疆石河子市第一中学2023-2024学年高一上学期11月月考数学试题