2024届广东金太阳8月开学联考物理试题答案

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20.解:(1)f(x出题意得f(2)=2-ln2+4=1-1n2,则a=2(4分(2)不等式可化为a<2(11nx)x(1+Inx)r*In.设g(x)=x-lnx-2,当x>1时则g(x)在区间(1,+∞)上单调递增又g(3)=1-ln3<0,g(4)=2-ln4>0,则g(x)在区间(3,4)上存在唯一零点x0,满足g(x)=x-lnxo-2=则当x∈(1,x)时,h(x)单调递减,当x∈(xo,+∞)时,h(x)单调递增,则h(x)≥h(xc(ItinoT又因为x-1nx。-2=0,则h(x2)=2(x-1)=x,因为x∈(3,4),则a

4.D【解析】取CD的中点E,连接AE,BE,如图所示D设四面体的棱长为2,则AE=BE=√3,且AE⊥CDBE⊥CD,则∠AEB即为相邻两侧面所成二面角的平面角,在△ABE中,cos∠AEB=AE+BEAB,故正四面体(所有面都是等边三角形的三棱锥)相邻两侧面所成二面角的余弦值是故选D

18.解:(1)因为函数f(x)为偶函数,故其图象关于y轴对称,补出完整函数f(x)的图象如下图所示:33分)所以函数f(x)的单调递减区间是(-∞,1),(0,(6分)(2)由于函数f(x)为偶函数则f(-x)=f(x)又当x≤0时,f(x)=x2+2x,设x>0,则-x<0,所以f(x)=f(-x)=(-x)2十2·(-x)=x2-2x所以当x>0时,f(x)=x2-2x,十2x,x≤0,故函数f(x)的解析式为f(x)=2x,x>0购数图象可知f(x)的值域为[-1,+∞)(12分)

Paragraph 1:Suddenly he heard a bird s wings beating the dry grass. Ben moved quickly towardthe sound and saw a colored head of a beautiful bird the bird did not move until Bencame close. Then it tried to fly away, but one wing was broken. Ben lifted the bird and heldit close against his body. The bird fought to escape, but soon lay quietly in Ben's armsBen decided to take the bird home and fix its broken wings so that it could fly again. Hewas almost through the woods when he heard the hunter behind him. It is mine!Paragraph 2:There was something threatening in the mans cool quiet voice. The hunter steppedcloser and said, "Give me that bird! " ben was frightened However when he saw the birdtruggling weakly and made a wild, strange noise, he knew he could never give this bird tothe hunter. This feeling gave Ben great strength, and he was no longer afraid. The woodswere strangely quiet. To Ben s surprise, the hunter slowly walked away. Ben carefullystudied the injured wing. He stayed with the bird, smoothing its feathers, delighted to seeit recovering slowly

讲述 Saint- Exupery的经历的C【语篇导读】本文是一篇说明文。文章主要讲述了一种普遍存在的现象—白目梦,并介绍了白日梦的重要性及其意义。28,A【解析】推理判断题。根据文章第二段Mostpeople spend a considerable part of their waking livesdaydreaming..及后文内容可知,作者以切洋葱的经历开篇是为了引入文章的主题。29.A【解析】词义猜测题。根据文章第二段Mostpeople spend a considerable part of their waking livesdaydreaming.可知,白日梦是非常常见的30.C【解析】推理判断题。根据文章第三段 allowpeople to make sense of who they are and build theirnarrative identity- their sense of connection throughtime可知,白日梦可以让人们明白他们是谁,建立他们的叙事一致性——通过时间建立的联系感,C选项“白日梦帮助我们了解我们自己”符合文意。31.B【解析】推理判断题。根据文章最后一段中 I knewI was excited for the new school year to start.可知,作者对新学期充满了期待。