组卷网>知识点选题>零点存在定理法判断函数零点所在区间
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1 . 定义方程eqId2f94288ddb884cc2affcf02492bc3b40的实数根eqId761b2917a82b4524b8dbab7e6380f014叫做函数eqId10852d81bc184140a7780250c82c6929的“G点”.
(1)设eqId942fdfcd2f3e4d18839f9f168995334a,则eqId10852d81bc184140a7780250c82c6929eqId0727a255231a4f4ebca486d580c963c9上的“G点”为_________
(2)如果函数eqId36259248b3a34b5dbb3680946f7dc58aeqIdec227601b7b949028a3068d5e781235d的“G点”分别为eqIdca06d7ef3b984e8c8fb8f7d217749d05,那么eqId0c1610c3e7d4444f81948a7e32bfd478eqIda86879ae304449a4a6e6461c485a1f13的大小关系是_________.
3 . 已知函数eqId797866fae84346dbb412fa66651015e5eqId35f64406dbb24d879a638bb80e588257,其中eqId16199d9a351f4cf8917b7bef4f36311d是自然对数的底数.
(1)证明:函数eqId521ab94f0d3c403a8877736bff62b09d在区间eqId27cf19ed39d642ed80dc2bc3b27ab3f1上有零点;
(2)求方程eqId29feef0918da479e95876a7e002c14f2的根的个数,并说明理由.
单选题 | 较易(0.85) | 2022·全国
5 . 以下函数在区间(0,eqId49b7b111d23b44a9990c2312dc3b7ed9)上必有零点的是(   )
A.yeqId87b2e9b67acd488b84423101ad47f1edB.yeqIda0ec1b12db2f49438bcd217088eaf52cC.y=ln(x+eqId7f1f28503f41439586d8e228365897e9D.y=2x+1
更新:2021/09/20组卷:99
单选题 | 较易(0.85) | 2021·全国高二课时练习
6 . 定义方程eqId2f94288ddb884cc2affcf02492bc3b40的实数根eqId761b2917a82b4524b8dbab7e6380f014叫做函数eqId10852d81bc184140a7780250c82c6929的“新驻点”,若函数eqId0c89c82c11ec40dd860c69433d9f74beeqId22c802768907493d80cb54b47dc20d80eqIdc7b741b5791d42b788b18d8791a2e218的“新驻点”分别为eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqId44925af6fb19413689ba5616e3647cba,则eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqId44925af6fb19413689ba5616e3647cba的大小关系为(   )
A.eqId18513915a070416db1e6b2d279419695B.eqIdd267db4f512541f8825f9d0ff4192c96C.eqId96f25c3294b2457ca92c563e42cd8713D.eqId2b09921788f943369b8b2d69257fdda4
7 . 已知函数eqId9b37d03e47a347fc8fab9f814ba5fac4在区间eqIdc774e1a2cea549bca3a1a314f18dc668上的图像是一段连续的曲线,且有如下的对应值表:

eqIda9cd3f94eb8045438f75e9daccfa7200

1

2

3

4

5

6

eqId072d7d6b911b42bc89207e72515ebf5f

-3.25

-7.9

2

4.16

-1

9.8

设函数eqId9b37d03e47a347fc8fab9f814ba5fac4在区间eqIdc774e1a2cea549bca3a1a314f18dc668上零点的个数为eqId5f904d1376ac4de7a7d6cfea92ff6981,则eqId5f904d1376ac4de7a7d6cfea92ff6981的最小值为________.
8 . 函数eqId8dde1a18e16d4c4ca82aa749f9bff747的零点所在的大致区间为(   ).
A.eqId3c62e04b38ba4afc9a3752a810e86195
B.eqIdb61222a9bd184463a8fdf696a3425061
C.eqId4c484aed6f224ded882ded415c5dc4f3
D.eqId3c62e04b38ba4afc9a3752a810e86195eqIdb61222a9bd184463a8fdf696a3425061
9 . 在下列区间中,方程eqId5e87f0d3ea6141a58f59c49715871b47的解所在区间为(   )
A.eqId9982d03ab5f344e2a3de03d7e704013eB.eqIdadeb449b6a6143debe78c47f4233eca1C.eqId6e8df2544d8846de966fdd329f292cf5D.eqId6643f48d4e54433aa5461b17bfd9d681