已知函数f(x)＝|2x－1|，a<b<c，且f(a)>f(c)>f(b)，则下列结论中，一定成立的是________．
①a<0，b<0，c<0; ②a<0，b≥0，c>0；③2－a<2c; ④2a＋2c<2.
④
由图示可知a<0时，b的符号不确定，1>c>0，故①②错；
∵f(a)＝|2a－1|，f(c)＝|2c－1|，
∴|2a－1|>|2c－1|，
即1－2a>2c－1，
故2a＋2c<2，④成立．
又2a＋2c>2
，∴2a＋c<1，
∴a＋c<0，∴－a>c，
∴2－a>2c，③不成立．
| About fifty years ago, plant physiologists set out to grow roots by themselves in solutions in laboratory flasks. The scientists found that the nutrition of isolated roots was quite simple. They required sugar and the usual minerals and vitamins. However, they did not require organic nitrogen compounds. These roots got along fine on mineral inorganic nitrogen. Roots are capable of making their own proteins and other organic compounds. These activities by roots require energy, of course. The process of respiration uses sugar to make the high energy compound ATP, which drives the biochemical reactions. Respiration also requires oxygen. Highly active roots require a good deal of oxygen. The study of isolated roots has provided an understanding of the relationship between shoots and roots in intact plants. The leaves of the shoots provide the roots with sugar and vitamins, and the roots provide the shoots with water and minerals. In addition, roots can provide the shoots with organic nitrogen compounds. This comes in handy for the growth of buds in the early spring when leaves are not yet functioning. Once leaves begin photosynthesizing, they produce protein, but only mature leaves can "export" protein to the rest of the plant in the form of amino acids. |
What is the main topic of the passage
A．The relationship between a plant’s roots and its shoots.
B．What can be learned by growing roots in isolation.
C．How plants can be grown without roots.
D．What elements are necessary for the growth of plants.