Consider the following statements .
A. The productivity and distribution of plants have nothing to do with water.
B. Next temperature , water is the most important factor influence the life of organisms.
C. Mammals from colder climates generally have longer ears and limbs to minimize heat loss.
D. Life on Earth originated in water and is unsustainable without water.
Of the above statements:

Options

A. A and B are correct
B. A and D are correct
C. B and C are correct
D. B and D are correct

Answer

To solve the question, we need to evaluate each of the provided statements one by one to determine which are correct.

### Step 1: Analyze Statement A
**Statement A:** "The productivity and distribution of plants have nothing to do with water."
- This statement is incorrect. Water is a crucial factor for plant growth, affecting both productivity and distribution. Plants require water for photosynthesis and nutrient transport.

**Hint for Step 1:** Consider the role of water in photosynthesis and nutrient absorption in plants.

### Step 2: Analyze Statement B
**Statement B:** "Next to temperature, water is the most important factor influencing the life of organisms."
- This statement is correct. Water is essential for all forms of life and is indeed one of the most important environmental factors after temperature.

**Hint for Step 2:** Think about the basic needs of living organisms and their dependence on water for survival.

### Step 3: Analyze Statement C
**Statement C:** "Mammals from colder climates generally have longer ears and limbs to minimize heat loss."
- This statement is incorrect. Mammals in colder climates typically have shorter ears and limbs to reduce heat loss, as longer extremities would increase heat loss.

**Hint for Step 3:** Recall the principles of thermoregulation in animals and how body shape affects heat retention.

### Step 4: Analyze Statement D
**Statement D:** "Life on Earth originated in water and is unsustainable without water."
- This statement is correct. Life is believed to have originated in aquatic environments, and all known life forms require water to survive.

**Hint for Step 4:** Consider the origins of life on Earth and the necessity of water for biological processes.

### Conclusion
After evaluating all statements:
- **Correct Statements:** B and D
- **Incorrect Statements:** A and C

### Final Answer
The correct option is that **B and D are correct.**