1 . 在
的展开式中,若二项式系数的和等于
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
________ ,此时
的系数是_______ .(用数字作答)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00005fc526f7a9af55613a6c563fe58c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/332e71982612ea86c28b9f2054b1045c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0a89e3c30f6e4d4c5db4378b05d987.png)
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2 . 设
为正整数,已知函数
,
,
. 当
时,记
,其中
. 给出下列四个结论:
①
,
;
②
,
;
③若
,则
;
④若
,则
.
其中所有正确结论的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e19024088b481805fd372b7b2ffdd8e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95372397621e3a2fc70a6e198e29f44d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02511beb97ace697703ada6473ed5d4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd600b451b2b7f1680cbbcf36a49703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be308b9f7b2b213abcbcea79f0d42f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9464ddd75dd13f2019e6a868301ff629.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f8365233f341451598eb50525a1557a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57650a5c0e367a96dbecf090d7462c87.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f8365233f341451598eb50525a1557a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fb7d9d5678f590adaff176319cefa4b.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6ea0392d4bd0374c8a2b12a355e4655.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2688d229fafb2e2d7c351d00b5bab399.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2521506a29dfa82b76370f6621b5e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2688d229fafb2e2d7c351d00b5bab399.png)
其中所有正确结论的序号是
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解题方法
3 . 若直线
与曲线
有两个不同的交点,则实数
的一个取值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00323d1615e8e5dd27b87c4e24f9b99b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7776f8179bc04afd0574c9019945e922.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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解题方法
4 . 已知向量
,
,且
,则实数k=______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ce219b14df1de5b674c4b2d9494c812.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f350730f8839782ae02463e6a2d62c0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b74b1faec6de19167919d004f7966c2a.png)
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5 . 设A,B为两个非空有限集合,定义
其中
表示集合S的元素个数.某学校甲、乙、丙、丁四名同学从思想政治、历史、地理、物理、化学、生物这6门高中学业水平等级性考试科目中自主选择3门参加考试,设这四名同学的选考科目组成的集合分别为
,
,
,
.已知
{物理,化学,生物},
{地理,物理,化学},
{思想政治,历史,地理},给出下列四个结论:
①若
,则
{思想政治,历史,生物};
②若
,则
{地理,物理,化学};
③若
{思想政治,物理,生物},则
;
④若
,则
{思想政治,地理,化学}.
其中所有正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/069ec439d599e7989e74f4c4ac91d65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/911cdb689ca80557ce076cb49b3ee498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f30f56664446f32dbbc2c5f12a99374.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3dabace330ccdd9755fbcf32d5d6343.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1b625192d7398634a02ea24fa78ed87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef354e5c5ff828cc8d27c71badd40f98.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d10b9f228c9a255aca3ace899db760d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9620357ea5be4037cfdccd09a27d3862.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9b4f81050636eac5b4f064fa0f06313.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9620357ea5be4037cfdccd09a27d3862.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9620357ea5be4037cfdccd09a27d3862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a41bbaf9ee8f16ee2ab343dc164a8e48.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231bca548a6ffe3013474743e1b5d039.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9620357ea5be4037cfdccd09a27d3862.png)
其中所有正确结论的序号是
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解题方法
6 . 已知函数
.若曲线
在点
处的切线与其在点
处的切线相互垂直,则
的一个取值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/525cb9f09708fd732fdc5da71009406e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45dddee525114c09ee0d1205aed6e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b3b54e0dcdc081d45fb3df933cddc29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e86e6f0ac5903369afea2c8d04ba412.png)
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7 . 已知函数
,若实数
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
__________ ;
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df43172c0bd14d455a7ca7eb8e56efe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deeca963611c2aaaaa2637933877b128.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6637110325fc5bcb6337762aecf53d4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ae24688d4c45aad43e9af0b7bbfda6b.png)
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8 . 已知抛物线
的焦点为
,准线方程为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
__________ ;设
为原点,点
在抛物线上,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14bd426e7e1e65d91394da0b28d49f65.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c2f156b05838deaae6a35acad242af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eefa44964db83759aff6fc8dd7ef8f28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22962a2ad892cb6b14ab039a06e8cdc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1b4c1c7fa5884b512da4c8475c07636.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14bd426e7e1e65d91394da0b28d49f65.png)
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名校
解题方法
9 . 已知双曲线
的一条渐近线为
,则该双曲线的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20122244a3831b34e8d178144ac19ee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f75508b798b0e011e91b8d427a102ca.png)
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名校
解题方法
10 . 已知函数
,则下列说法正确的是__________ .
①
是
的周期
②
的图象有对称中心,没有对称轴
③当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b2960335c7821a92e6477fcdb6fc980.png)
④对任意
在
上单调
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5225a8ceeef139164975a4f8f34c6b8c.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e2d7c958e99bcd9d7f251c19ee3544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6283166f874ed2823ac7b8be04507870.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b2960335c7821a92e6477fcdb6fc980.png)
④对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc13cbcd37d287b9608cacc3e098c517.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da42f896593b627317d454804e0d0a8.png)
您最近一年使用:0次