23-24高二下·全国·课前预习
1 . 判断正误,正确的写正确,错误的写正确.
(1)在平均变化率中,函数值的增量为正值.( )
(2)瞬时变化率是刻画某函数值在区间
上变化快慢的物理量.( )
(3)函数
在
处的导数值与
的正、负无关.( )
(4)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/136eecfa8b1e39f9e7bb39168900b017.png)
.( )
(1)在平均变化率中,函数值的增量为正值.
(2)瞬时变化率是刻画某函数值在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351629c193354cdcf202133052e45028.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11abb76da45ffa52b47c3a6b9a03ac7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1268e217016ff7e12b9bc51341c4cde.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/136eecfa8b1e39f9e7bb39168900b017.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f6234ccd85f2357ec3b1427e54d36b.png)
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23-24高二下·全国·课前预习
解题方法
2 . 判断正误,正确的填“正确”,错误的填“错误”.
(1)函数
在定义域上都有
,则函数
在定义域上单调递减.( )
(2)函数
在某区间内单调递增,则一定有
.( )
(3)函数在某个区间上变化越快,函数在这个区间上的导数的绝对值越大.( )
(4)函数
的单调递增区间为
.( )
(1)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e61575439a23309daa6f5d0688a56d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca54c030a524028f5d8a2074d5b4dea9.png)
(3)函数在某个区间上变化越快,函数在这个区间上的导数的绝对值越大.
(4)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab16b3c0ece4c9bcfbef6c8a23e2887d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2372f424431ce7b547a66b7d61d75421.png)
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23-24高二下·全国·课前预习
3 . 判断正误,正确的写“正确”,错误的写“错误”.
(1)函数的最大值不一定是函数的极大值.( )
(2)函数
在区间
上的最大值与最小值一定在区间端点处取得.( )
(3)有极值的函数一定有最值,有最值的函数不一定有极值.( )
(4)函数
在区间
上连续,则
在区间
上一定有最值,但不一定有极值.( )
(1)函数的最大值不一定是函数的极大值.
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
(3)有极值的函数一定有最值,有最值的函数不一定有极值.
(4)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
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23-24高二下·全国·课前预习
4 . 判断正误,正确的填“正确”,错误的填“错误”.
(1)
由函数
复合而成.( )
(2)函数
的导数为
.( )
(3)函数
的导数为
.( )
(4)函数
是由
及
两个函数复合而成的.( )
(5)函数
的导数是
.( )
(6)函数
的导数是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5a128b7ee9fbbf37add9009151e2310.png)
( )
(7)函数
的导数是
.( )
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e03358012f2c8978e3899800b39420.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2247e6d222c80be3c82709f96209d222.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73cbe0d130e4b7c34669a8bb233612dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1ad2ca6520e37c52c5f17e31dbd067.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a5994b5f54f80df73a76fbd9550a93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/050e9a865fe7557225df7f9cc181003d.png)
(4)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/612d8a2f36187b85df25ea7407083830.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b16e80daea1d35a3d283b86e7da3e53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba17941335b3dbff51949e297514ed53.png)
(5)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fabb2d8784b4c239a0ee61500473944b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cda20384a3b4c24b532d37bc889a56cc.png)
(6)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94a08586609699898c78ab5788717b3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5a128b7ee9fbbf37add9009151e2310.png)
(7)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a19d6fa3789aed1a7750709cbcfabae0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5224b3cc29fe00422795e90630679859.png)
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23-24高二下·全国·课前预习
5 . 判断正误,正确的写正确,错误的写错误.
(1)若
,则
.( )
(2)若
,则
.( )
(3)若
,则
.( )
(4)若
,则
.( )
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa3b8bb899f71af25132b1dc0fbda696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6998106570ccf08782779d9d04a3a554.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9ca3eac640713aeedf911613772e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5323dc34c9fa053d3b0f7650bd438969.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/232d68db7e82ff86b7ac2164236bddbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ef372ac6b609bda2bddadc7c148666.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3407575198ba457e5083862b9ecf4186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75d85a962e9270e873f274bd73af0cc7.png)
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23-24高二下·全国·课前预习
6 . 判断正误,正确的画“正确”,错误的画“错误”.
(1)
( )
(2)函数
的导数是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19bf97d373d6fafcb449ab9f8370d41b.png)
( )
(3)当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6372ae8b69e8aa965ddec7717b6dca50.png)
( )
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb239bbda90c98f2595db8906031ea14.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfc436eb1738984ed3b50eca6569a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19bf97d373d6fafcb449ab9f8370d41b.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3f1a17ec04e606e9159f7a22b144008.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6372ae8b69e8aa965ddec7717b6dca50.png)
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7 . 判断正误(正确的填“正确”,错误的填“错误”)
(1)曲线上给定一点
,过点
可以作该曲线的无数条割线.( )
(2)
表示
,
的值可正可负,也可以为零.( )
(3)函数
在
处的导数值与
的正、负无关.( )
(4)若
,则
.( )
(1)曲线上给定一点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ee7a1b253abc6205004a2254d0b7b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0083ec7ec1e80158acaeed1ff18d409b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ee7a1b253abc6205004a2254d0b7b3c.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11abb76da45ffa52b47c3a6b9a03ac7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1268e217016ff7e12b9bc51341c4cde.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd7c1d1884f7335fa3621ccefcaf35f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8195650e568d391ce26b2a731538ad7f.png)
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8 . 判断正误(正确的填“正确”,错误的填“错误”)
(1)在平均变化率中,函数值的增量为正值.( )
(2)函数
(c为常数)在区间
上的平均变化率为0.( )
(3)瞬时变化率是刻画某函数在区间
上函数值变化快慢的量.( )
(4)在瞬时变化率中,Δt可以为零.( )
(1)在平均变化率中,函数值的增量为正值.
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6353f4d7b72f3e7edc3d00fd91a5d488.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351629c193354cdcf202133052e45028.png)
(3)瞬时变化率是刻画某函数在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351629c193354cdcf202133052e45028.png)
(4)在瞬时变化率中,Δt可以为零.
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9 . 判断正误(正确的填“正确”,错误的填“错误”)
(1)
.( )
(2)因为
,所以
.( )
(3)若
,则
.( )
(4)函数
图象上某点处可能存在两条切线.( )
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa564877d9e680e690f6675f80d554ae.png)
(2)因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b65be5e9da54da0205e2fb1bd90fefc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50b0e902f60e3bbd90e0e9224169d3e5.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6cb9b9ac4af6bf8cce8e86e7e60a1ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/368c73c5b1fc66954165a11ebd9bba5e.png)
(4)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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10 . 判断正误(正确的打“正确”,错误的打“错误”)
(1)若函数
在定义域上都有
,则函数
在定义域上单调递增.( )
(2)若函数
在某区间内单调递增,则一定有
.( )
(3)函数在某个区间上变化越快,函数在这个区间上的导数的绝对值越大.( )
(4)若
,则
在
时是递增的.( )
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c72d250a079379c5175693c165248c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c72d250a079379c5175693c165248c.png)
(3)函数在某个区间上变化越快,函数在这个区间上的导数的绝对值越大.
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04beea76c59a6c5b096d8c5a3b77f8a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
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