名校
1 . 已知平面向量
,若存在不同时为零的实数
和
,使
,
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b2266f59dd1c6cc28c6a7ff04d56da7.png)
(1)试求函数关系式
.
(2)若方程
在
上有两个不同的解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7758d993ae2ede54ac89ed9481f0714f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd7fcceac6bda369b365839b30040dc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/918941079abe641989a845615a15cf65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b2266f59dd1c6cc28c6a7ff04d56da7.png)
(1)试求函数关系式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eba75578c223769ff384deb7c8a2b600.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63463f92dad18340947739cf86b97e01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b9cec0474c43086ea39cb457048313c.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
2 . 已知两个不共线的向量
,
的夹角为
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe9e81aa889dae5ecc9589f835d2c37.png)
(1)若
,求
的最小值及对应的x的值,并指出向量
与
的位置关系;
(2)若
为锐角,对于正实数m,关于x的方程
有两个不同正实数解,且
,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ff409cd3886c767afb13c9a869c5f23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6570cd7c2f81c9fcffd2c64664f1564.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe9e81aa889dae5ecc9589f835d2c37.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1aff31d4cd7495f1d9ab44140ec20b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a638b3496817355de4c47eff6e884fc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ff409cd3886c767afb13c9a869c5f23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c10d7788f0c26a5c58d580cf1b56f45.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d137977d0104dc9c96ba74a6fe8416d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18eb689ecf90784586123facc12bcec6.png)
您最近一年使用:0次
3 . 已知两个不共线的向量
,
的夹角为
,且
,
,
为正实数.
(1)若
与
垂直,求
;
(2)若
,求
的最小值及对应的
的值,并指出此时向量
与
的位置关系;
(3)若
为锐角,对于正实数
,关于
的方程
有两个不同的正实数解,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9936a46cc891744d4600f76bb92b694c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df42687a73cb92e92a3cb6e54f1edb15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e03adf3fa0262d9bd46a2c794eb15746.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d7886b5d3e7832e5216be9bcc553c5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a40d2cf43fce0c99dff3470d554eb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d1cd1fa10f2be97dd659fc86f8a7dd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f931dad27fbfb6f48397d0814f42d24.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30fdbf849e92c12375c68c2a65da1ed6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8c87cee91c8708bcca207f3b5325ca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
名校
解题方法
4 . 已知两个不共线的向量
,
夹角为
,且
,
,为正实数.
(1)若
与
垂直,求
的值;
(2)若
,求
的最小值及对应的x的值,并指出此时向量
与
的位置关系.
(3)若
为锐角,对于正实数m,关于x的方程
两个不同的正实数解,且
,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8febc305ff560626bdb55735a5085128.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eca8fb20438505791369da9abe4a804.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b83c5803cc8c05849028a57c4bd4ee72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c786d72d59c2c13ed0f8855f6b5b8a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/734a6a1d319648bb969845a9159cdba7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c150ce9603ecbb1162784a49a844ead6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa93e6d85e37a5dd4cf2e779080c536.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4111a7867595463f1c41172f37994fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18eb689ecf90784586123facc12bcec6.png)
您最近一年使用:0次
名校
5 . 已知两个不共线的向量
的夹角为
,且
为正实数.
(1)若
与
垂直,求
在
上的投影;
(2)若
,求
的最小值及对应的
的值,并指出此时向量
与
的位置关系.
(3)若
为锐角,对于正实数
,关于
的方程
有两个不同的正实数解,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb45d79ed37ed115c473f52c60d02a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74206063e86df3bbd8bd035722470aa2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed4ad35dcb553c18a2ac000b2af134ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218106d875f7cb77ba5ebcc866b5de33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2150cb0060a14e88e93c33cf456ae832.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/515b1e449cde902a74977b1fc3b31100.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc1f08c7640e62e8717abf4d44a6c83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9b36ef9a0b6fbd6e73fb3acf909349c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2150cb0060a14e88e93c33cf456ae832.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cec2151f42e66f9902dca423235b67f.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a32b489dc708f75a60cc4c9dcec5cb6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18eb689ecf90784586123facc12bcec6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2019-05-22更新
|
131次组卷
|
2卷引用:【市级联考】江西省赣州市十五县(市)2018-2019学年高一下学期期中联考数学试题
名校
解题方法
6 . 已知两个不共线的向量
的夹角为
,且
为正实数.
(1)若
与
垂直,求
;
(2)若
,求
的最小值及对应的
的值,并指出此时向量
与
的位置关系.
(3)若
为锐角,对于正实数
,关于
的方程
有两个不同的正实数解,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64fa2fcefaf3d8868da0cb52877c5247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93fe252f473d6925f241c2e3588db6c5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96b37b1b1c2803e723337c20b554c5cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dee6e0a8041089e1a9b8e9a9df14484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/734a6a1d319648bb969845a9159cdba7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e380f8b4af62e66129c71286d598a17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cefbe5ce3cac5439c61eac2cc61f7a63.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cba60bc8ea8c68068f2db1ef15b85c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18eb689ecf90784586123facc12bcec6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2018-04-22更新
|
1196次组卷
|
2卷引用:山西省运城市康杰中学2017-2018学年高一下学期期中考试数学试题