1 . 若函数
在
上具有单调性,且
为
的一个零点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
__________ ﹔函数
的零点个数__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f24ef089651a38e224ac4275cc0419c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c233f1a4c0c9c9b00f313ec14849abed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e447ad1d013ffbfaa20a630dec85e5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4907c03b8ce941fab4df326fa0184b73.png)
您最近一年使用:0次
解题方法
2 . 如图所示的几何体
中,
平面
,
,
,
,
为
的中点,
,
为
的中点.
(1)求证:
//平面
;
(2)求点
到平面
的距离.
(3)求平面
与平面
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd654221ab95fe241d9e0202443f2609.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62871bb0dff211fc3bd80f9066c25b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b6ab5352535496210b57b7bd73876b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4fb8a8db06122b73821cb3838e7a578.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29bb8ab7c2b4e68bae55828bcf240d33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed8e8f8b75e657565fe628d869b0bde3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/3/8a4ce056-6efc-4b60-9ae2-50ef6608c33d.png?resizew=161)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1460aa3d83df61f6c411b34412135451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9af29254fe60a392c249c5791279e9c8.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9af29254fe60a392c249c5791279e9c8.png)
(3)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9af29254fe60a392c249c5791279e9c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
您最近一年使用:0次
解题方法
3 . 已知双曲线
(
,
),
是双曲线的半焦距,则当
取得最小值时,双曲线
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5c2e64358e0ec7aa142c336d970306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8545852501b79e01320300bef86f3167.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
4 . 若
,
,
,则
,
,
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a525e811ffc32387348f431b04c32225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b14a2a507068a12939cd72686bc607.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f5a875d45257e6b065aadc8b572afdd.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)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
5 . 设等比数列
满足
,
.
(1)求数列
的通项公式和
;
(2)如果数列
对任意的
,均满足
,则称
为“速增数列”.
(ⅰ)判断数列
是否为“速增数列”?说明理由;
(ⅱ)若数列
为“速增数列”,且任意项
,
,
,
,求正整数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/463a4d5f2d1d893498d1be84167a747f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73f3eafa7d128eb70334f1b796fc043c.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88dcc8896d7404df42fc515b31f9fff3.png)
(2)如果数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20be95c3038f55e438c0fb7598d6329b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(ⅰ)判断数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(ⅱ)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f3c2d176cee47c5f0f33a69130a910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/627e48c5ab76f5d1874c57a40d32d89e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd4cde52680aee9a0e8b28568e91ee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
解题方法
6 . 在
中,内角
,
,
所对的边分别为
,
,
,已知
,
.
(1)求
的值;
(2)求
的值;
(3)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/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/09eebab59213386449a726b75065bf76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a1321c2d0bfa223b176e4e6a1286b98.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9ecc3aaae2aa289591a3b632f1e0645.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/721e29b775e696045f44a4b1e7f74ef2.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c21629f81ecb7188683d17c62a2082.png)
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解题方法
7 . 已知角
的终边上有一点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38dd8aad9cfb5e1fe2a45d80923f1571.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5de78b493bc2cc9696c584325c22ee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38dd8aad9cfb5e1fe2a45d80923f1571.png)
您最近一年使用:0次
解题方法
8 . 函数
的单调递增区间是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6af774c9c03e5451f87552402d771b39.png)
您最近一年使用:0次
解题方法
9 . 已知
.
(1)求
的值;
(2)求
的值;
(3)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4c6d40ef72298cbb847b6017dc23c69.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9146fc0a63e5c14a8fa46573e60c07ba.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31471520a1447234f7566c782ba6511a.png)
您最近一年使用:0次
解题方法
10 . 下列不等式中一定成立的是( )
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次