99 lines
1.3 KiB
Plaintext
99 lines
1.3 KiB
Plaintext
ans
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018511
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$(\dfrac{x_1+\lambda x_2}{1+\lambda},\dfrac{y_1+\lambda y_2}{1+\lambda})$
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018516
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$(\dfrac{4}{5},\dfrac{3}{5})$处
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018517
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分别约为$101.5\text{N}$与$143.5\text{N}$
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009638
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$9$
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009640
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$(0,15)$
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009641
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(1) $\overrightarrow{f_2}=(1+\sqrt{3},3+\sqrt{3})$; (2) $30+10\sqrt{3}\text{J}$
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009642
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$(\dfrac{8}{37},\dfrac{85}{37})$
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018519
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$-\dfrac{\overrightarrow{a}\cdot\overrightarrow{c}+\overrightarrow{b}\cdot\overrightarrow{d}}{\overrightarrow{a}^2+\overrightarrow{c}^2}$
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018520
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$-\dfrac{5}{9}$
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018526
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当且仅当$\theta=0$时, $\overrightarrow{BP}\cdot \overrightarrow{CQ}$的值最大, 最大值为$0$
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018527
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(1) 是定值(定值为$1$), 理由略; (2) $3$
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ans
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040738
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$-3$
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040739
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$\dfrac{\pi}{2}$
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024816
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$\dfrac{1}{2}\overrightarrow{e_1}$
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040741
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$(-5,-5)$
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040742
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$[0,2]$
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040743
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$(-\dfrac{7}{9},-\dfrac{7}{3})$
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040744
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$11$或$-2$
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040747
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$(-\infty,-4)\cup (-4,1)$
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040746
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$\sqrt{3}$
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040749
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$[\dfrac{1}{2},1]$
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024815
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$1-\sqrt{2}$
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040751
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$\arccos\dfrac{1}{7}$
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024788
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$\dfrac{3}{11}$
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024789
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\textcircled{3}\textcircled{4}
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024790
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D
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024791
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$\overrightarrow{a}=-\sqrt{3}\overrightarrow{b}-\dfrac{1}{3}\overrightarrow{c}$
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017646
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$\dfrac{19}{18}$
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024792
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$\dfrac{3}{8}\overrightarrow{a}+\dfrac{1}{4}\overrightarrow{b}$
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024793
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$-\dfrac{11}{16}$
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010002
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(1) $\arccos\dfrac{13}{14}$; (2) $28\sqrt{74}$
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